Annotation of ttbar/p20_taujets_note/ttbarnote_v1.9.dvi, revision 1.1.1.1

1.1       uid12904    1: &; TeX output 2011.05.18:1500&2BPSfile="plots/d0logo.eps" llx=206 lly=343 urx=406 ury=449 rwi=800 &Rt:         cmbx9D0NoteXXXXVersion1.9tdlF'Ncmbx12Measurementof)gcmmi12n9&XQcmr12(pp     :+!",
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                      4: cmr10DhimanChakrabGorty(NIU),PhillipGutierrez(Oklahoma),DiegoMenezes(NIU)W2󍍒o      cmr9(Dated:pMa9yT18,2011)W3mo, This"notepresen9tsanewmeasurementof5"          cmmi9pDZpL         cmsy9!<tVۍ &%tWX)proAductionatؾp
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                      7: s%A.,tDataTSample&pbX6բB.,tBac9kgrounds&pL7C.,tMon9teTCarloSamples&M7RD.,tMCTsamplescorrections&D9       9IKII."TriggerPCarametrization&Di9s%A.,tLev9elT1&c010բB.,tLev9elT2&c010C.,tLev9elT3&c011IV."ObvjectIdenCtication&S 12s%A.,tT:aus&F12բB.,tJets&/12C.,t#g$-R          cmbsy96h W6      cmmib9E!1cmmib6T&k13RD.,tTheTNeuralNet9workTb-taggingAlgorithm713>V."Analysisoutline&iŹ14VI."Preselection&|U14OVIKI."bʺandĝselections&aL17VIKII."NeuralNetCworkAnalysis&?h21s%A.,tV:ariablesTforNNtraining&='21բB.,tT:opAologicalTNN&e921C.,tNNToptimization&`x;24IX."TopKologicalvhariables&S29s%A.,tSignalTsampleplots&V829բB.,tb-v9etoTcontrolsampleplots&6tc32>X."Crosssection&w35XI."SystematicuncertainCties&B|}41s%A.,tJES&41բB.,tTES&/41C.,tJetTEnergyResolutionandJetID&#41RD.,tT:rigger&8W41iE.,tb-quarkTfragmen9tation&IL41Y0F.,tb-tagging&~41 G.,tM'IDTsystematics&_M42s%H.,tQCDTsystematics&^ ;42"I.,tWTandZscalefactors&K'42 J.,tT:emplateTstatistics&WӞ421^K.,ttVۍ &%tlocon9taminationTintheloAose-tightsamplea42L.,tPDF&42{M.,tLuminosit9y&v43"ʺReferences&44>A."TriggerEciencies&\!645 1.,tT:riggerTEcienciesfor7+8jets&%݃45 2.,tT:riggerTEcienciesfore8+jets&&45 3.,tT:riggerTEcienciesfor8+jets&%e=46 4.,tT:riggerTEcienciesfordil&9epton&%O46 5.,tT:riggerTEcienciesforal&9ljets&+ٹ47 6.,tT:riggerTEcienciesforW&HjjI+8jets&ZϹ47 7.,tT:riggerTEcienciesforW&Hbb8+jets&o48 8.,tT:riggerTEcienciesforW&Hcc8+jets&48 9.,tT:riggerTEcienciesforZjjI+8jetsƾ!ee+jjI+jets߹49k2&F3j"ʹ10.,tT:riggerTEcienciesforZbb8+jetsƾ!ee8+bb+jetsU49
                      8: "11.,tT:riggerTEcienciesforZcc8+jetsƾ!ee8+cc+jets+50"12.,tT:riggerTEcienciesforZjjI+8jetsƾ!+jjI+jetstQ50"13.,tT:riggerTEcienciesforZbb8+jetsƾ!8+bb+jetsɑ51"14.,tT:riggerTEcienciesforZcc8+jetsƾ!8+cc+jetsӟ51"15.,tT:riggerTEcienciesforZjjI+8jetsƾ!&7+jjI+jetsdݹ52"16.,tT:riggerTEcienciesforZbb8+jetsƾ!&7+8bb+jetsԺ52"17.,tT:riggerTEcienciesforZcc8+jetsƾ!&7+8cc+jetsԐ53"18.,tT:riggerTEcienciesforZjjI+8jetsƾ!q+jjI+jetsPǹ53"19.,tT:riggerTEcienciesforZbb8+jetsƾ!q+8bb+jetsԦ54"20.,tT:riggerTEcienciesforZcc8+jetsƾ!q+8cc+jets|s54
B."TurnoncurvCesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VXک54 1.,tLev9elT1jetturnoncurvesfortriggerJT2ffgTy3JT15LffgIPffgVXFP55 2.,tLev9elT2jetturnoncurvesfortriggerJT2ffgTy3JT15LffgIPffgVXFP57 3.,tLev9elT2H&T:turnoncurvesfortriggerJT2ffgTy3JT15LffgIPffgVXMn57 4.,tLev9elT26|rE&T:turnoncurvesfortriggerJT2ffgTy3JT15LffgIPffgVX)58 5.,tLev9elT2SphericityturnoncurvesfortriggerJT2ffgTy3JT15LffgIPffgVX159 6.,tLev9elT2STTIPturnoncurvesfortriggerJT2ffgTy3JT15LffgIPffgVX59 7.,tLev9elT3jetturnoncurvesfortriggerJT2ffgTy3JT15LffgIPffgVXFP60 8.,tLev9elT3b-tagoncurvesfortriggerJT2ffgTy3JT15LffgIPffgVXQ61mC."DiscriminanCtvhariables&LG64D."Setoptimization&g65
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F."ʾ6|rE&T     hsignicanceoptimization&2768NG."CrosssectionmeasuremenCtswhensignalcontaminationisignoredf69 1.,tResultsforSet=metl,ҼH&T,topmassl,aplan,sqrts,metl>4.0,lumi=4951.86/pb,V9CjetsandNNelec,t>T0.9&369 2.,tResultsTforSet=metl,H&T,topmassl,aplan,sqrts,metl>4.0,lumi=4951.86/pb,V9Cjetsandno,tNNelecTcut&wk70u2&F4jvغI.INTRCODUCTIONW4Since׋itsdiscovery׋attheF*ermilabTEVATRONicolliderin1995,thetopquarkhasbGeenoneofthemostW5impGortant}KtopicsinHighEnergyPhysics.ThestudyofitsproGductionrateandpropertiesallowsustoW6pGerform&precisiontestsofstandardmodel(SM)predictionsaswellasrepresentsachanceofobservingW7pGossiblej.deviationsfromsuchpredictions.QAmongstallsubsequenttopdecays,odtheproGcess
                      9: b>
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                     11: cmmi10t
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                     13: cmsy10!W&cb!&!&  0ercmmi75bW8representsaoneofthemostimpGortanttoGolsforprobingbeyond-SMaphysics. F*orainstance,theMSSM(MinimalW9SupGersymmetricStandardModel)[1&]predictstheexistenceofthedecaytH!H^ٓRcmr7+sbifm"&HkZcmr5+ҍ0ncmsy5<Hm&t
lm&bD.[As101the0Higgs-fermioncouplingispropGortionaltothelatter'smass,g_thesubsequentdecayofachargedHiggs11bGoson0intoaleptonismuchmorefavoredthanitsdecaysintoe'sand's.NfTherefore,kforhighvqaluesoftan12WW(the;ratioofthevqacuumexpGectationvaluesofthetwo;Higgsdoublets)thechargedHiggspreferentially13decaysto&!&5,͖whichincreasesthebranchingratio(BR)poftgn!&!&5brelativetotheSMpprediction.dThus,14anynon-standard
avor-andmass-depGendentcouldproGduceasignicanteectontheproGductionchannel.15InthisrespGect,ўtheworkpresentedhererepresentsanimpGortanttestoftheSMpredictionsaswellasone16stepUUfurtherontheinvestigationUUofnon-SMproGcesses.17
                     14: InthisanalysiswestudytheproGcesswhentheW^&bosonfromoneofthetopquarksdecaysintoa^lepton18andwitsassoGciatedneutrino,JwhiletheotherWAbosondecaysintoaquark-antiquarkpair.Theyisthe19heaviestleptonanditspromptdecayintootherparticlesandtheprobabilityofbGeingfakedbyelectrons,20muonsUUandjetsmakesitsreconstructionandidenticationmuchmoredicultthanothertopdecays.21
                     15: HeretwefoGcusoneventswheretheidecayshadronically*,|umeaningtooneorthreechargedhadrons,|uzero22orӌmoreneutralhadronsandatauneutrino.FThisimpliesthatoursignalconsistsofanalstatewithfouror23moreejets.Figures1and2showrespGectivelytheF*eynmandiagramthatdecribGestheprocesst'#&bt}!>e+CVjets24andUUthepiechartoftopdecay*.qInSectionIGIwediscussorsignalandmainbackgrounds.25z4CPSfile="plots/feynman.eps" llx=73 lly=382 urx=522 ury=721 rwi=2245 WMFIG.T1:pF:eynmandiagramfortVۍ &%t!Ƽ7+8jets. 2&F5rԱ=PSfile="plots/pie.ps" llx=14 lly=14 urx=612 ury=792 rwi=2392 FIG.T2:pT:opquarkdeca9ypiechart.
                     16: The@presentworkisthethirdmeasurementofthet'#&btcrosssectioninthe15+njetschannelpGerformedwith26theq!Ddetector.+Previousresults[2&,x3x]usedusingp14RunIqandp17RunIGIaDataandaresummarizedin27T*ableUUI(onlystatisticaluncertaintiesareshown).28"Dzff<&h
                     17: ff٘DataTset(pb-=1     )
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                     20: 1ff
                     21: ٘p14T(349.0)
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                     27: 1ffff< ꯍU泹T:ABLETI:PrevioustVۍ &%tlocrosssectionmeasuremen9tsinthe7+8jetschannel 
                     28: TheUUmainimprovementsUUupGonpreviousp17analysisarelistedbelow:295UUtimesmoredata(RunIGIb1,RunIIb2andRunIIb3).30T*riggerused:"weuseanewsetofmultijettriggersthatrepresentsagaimof$10%inthenaleciency*.31UseUUofvertexconrmedjets.32T*auUUenergyscaleaddedtotheanalysis.33ImprovedUUneuralnet(NN)optimization.34NewUUsetofp20b-tagTRF's.35.h2&F6j1LIKI.!=DCATASET36wA.
                     29: ^DataSample37F*orYthisanalysistheframeworkusedwasvjetsffcafev04-00-08(Releasep21.18.00)andthedatasetconsisted38ofO3JET.skimproGducedbythecommomsamplesgroup[4&]andrecordedbetweenOAugust2002andMay201039(runsUU151817-258547).40CSGffCAFff3JETffP*ASS2ffp21.10.0041CSGffCAFff3JETffP*ASS4ffp21.10.00ffp20.12.0042CSGffCAFff3JETffP*ASS4ffp21.10.00ffp20.12.0143CSGffCAFff3JETffP*ASS4ffp21.10.00ffp20.12.0244CSGffCAFff3JETffP*ASS4ffp21.10.00ffp20.12.0445CSGffCAFff3JETffP*ASS4ffp21.12.00ffp20.12.05ffallx46CSGffCAFff3JETffP*ASS4ffp21.10.00ffp20.16.07ffx47CSGffCAFff3JETffP*ASS4ffp21.12.00ffp20.16.07ffsummer201048
                     30: InUUthisanalysiswechosethethreejetstriggerJT2ff3JT15LffIPffVX.49
                     31: This
                     32: particulartriggerwaschosenbasedonourneedsofloGokingforeventswithmultiplejetsandthefact50thatitrepresentsagainof20%eciencyonsignalselectionifcomparedtopreviousp17analysis.X:Sincethe51eciencies4 forsuchtriggerarenotcurrentlypartofcaffftriggerpackqage,:inthisanalysiswebGenetfromthe52triggermoGdellingprovidedbythehbbgroup[5&]forthebP5!b\qUbJbanalysis.hT*riggerweightdistributionsfor53allcMCWsamplesusedintheanalysisasafunctionofthenumbGercofb-taggedjetsarefoundinAppendixA54andUUT*ableIGIsummarizestheirmeanvqalues:55x8a-ff&       Y&h
                     33: ff-!٘ProAcess
                     34: ff|0Ttags&h
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                     37: ffթ3Tormoretags&h
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                    154: ffff&      xf_T:ABLETIAI:Meanv|raluesofthetriggerw9eightTforallMCsamples.#@
                    155: F*orQthistriggerwealsomeasuredtheluminosityofourdatasample.pT*ableIGIIQshowstheresultsforbGoth56v15UUandv16triggerversions.5752&F7Wtff&J_&h
                    156: ff٘T:riggerTv9ersion]T:riggerTnameDeliv9eredTL(pb-=1    )0RecordedTL(pb-=1      )&70ReconstructedTL(pb-=1 )&h
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                    161: ff٘V16.0T-V16.99C    #JT2ffgTy3JT15LffgIPffgVXŒu4059.92&u3887.95&y?3565.86&h
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                    163: ff        ٘TTOTALŒu5742.00&u5432.66&y?4951.85&h
                    164: ffff&J_&+T:ABLE{IAII:Theresultsofluminosit9ycalculationfortheRun2b3JETpdataskimfordierentD0triggerlistversionsd!B.
                    165: ^BacCkgrounds58
                    166: InthisanalysisthelargestbackgroundsourcesareQCD(\fake&!Dz"),Iwhichisestimatedfromdataand59WG=qZ+jets,7which       aresimulatedMonteCarlosamples.Otherbackgroundsthatwerenotincludedinthis60analysisduetotheirsmallcontributionaresingletopanddibGosonproduction.GA֭listofbackgroundssources61isUUfoundinSectionIGIIUUof[3&].qInthefollowingsectionswedescribGebothsignalandbackgroundsimulation.62!C%غC.
                    167: ^MonCteCarloSamples63W*eBusep20certiedMCsamplesasproGducedbyCSGandcaedwithp21.11.00(version3)[6&].?AllWG=qZv^and64t'#&btMweregeneratedwithALPGENv2.11[7&]interfacedwithPythiav6.409[8&]forproGductionofparton-level65showersandhadronization.]EvtGen[9&]isusedtomoGdelbhadronsdecaysandT*AUOLA[10
                    168: ]usedtomoGdel66tauUUleptonsdecays.67ALPGEN7isdaleadingorder(LL)generator.5Inordertocorrectittomatchwithnext-to-leadingorder(NLO)68crossCsectionsweapplyE':
                    169: 
                    170: cmti10Ec}'orrection3>factorsCandthenprovideacorrectnormalization.NThesecorrectionfactors69were(takenfromF<x
                    171: 
                    172: cmtt10FvjetsEff&fǫcafeframeworkandaredescribGedinRef.[11
                    173: ].Therearetwokindsofcorrection70factors:?Ek-factors,(whicharetheresultoftheratiobGetweenNLOfandLLcrosssections(&N,LO^_=&LLx)and71Ehe}'avy
avorfactors,WwhichW5areinturntheratiobGetweenk-factorsforHF+: 0l2`p(incl)W5and2l2`p(incl)W5proGcess72from'iMCFM'][12
                    174: ].bxHereHFdenotesZ$+&bb,0Z+cc,0W@+bb'iorW@+ccandl2`pstandsforElightip}'arton.bxHeavy73
avorgfactorsareappliedonthetopofk-factorsinordertoprovidethecorrectnormalizationforproGcess74where3Fheavyquarksarepresent.fmF*orZbproGduction,:samplesaresplitintoZb+lightjets,:Z޲+&µbbandZ+&µcc.75ZE+)lightpartoncrosssectionsaremultipliedbyak-factorof1.3,whileZg+&bbandZ+&ccaremultipliedby76additional`hheavy
avorfactorsof1.52and1.67respGectively*.&W+jetssamplesarealsosplitthesameway:77W߽+|.lightjets,WU+RƵbbandW+RƵcc.QInW߽+lightjetscaseak-factorof1.3isappliedwhileanadditional78heavyUU
avorfactorof1.47isappliedtobGothWo+8bbandW+8ccsamples.79
                    175: T*ableUUIVsummarizesthecorrectionfactorsapplied.806Aיffw>Y&h
                    176: ff"0٘ProAcess
                    177: ffUyvk-factor&h
                    178: ffΉffw>ffffw>&h
                    179: ff٘WT+ligh9tpartons
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                    320: ffff&6玎&K{kdT:ABLETV:MCSamples.pHerel;standsforthethreelepton
a9vorT(e,and&).Sdeca9ysarenotrestricted.        h22&F9jD.
                    321: ^MCsamplescorrections84
                    322: StandardUUDcorrectionsareappliedtoMCinordertoobtainabGetterMC-dataagreement[13
                    323: ].85?"V
                    324: 
                    325: cmbx10T
                    326: riggerFeciency:3anadditionalscalefactor(weight)isappliedtoMCخtoaccountforthetriggereciency86inUUdata.qF*urtherdetailsaregiveninSectionIGII.87Luminosit9y&xreweighting:inordertoreproGduceluminosityeectsfromrealdata,simulatedsamplesare88overlaidItoZeroBiasdataDuetoadierenceinintantaneousIluminositybGetweentheoverlayandrealdata,89theUUluminosityproleofallMCsamplesisreweightedtomatchtheluminosityproleindata[14
                    327: ].90PrimaryVBv9ertexreweighting:Rz6       vertexrdistributionsaredierentbGetweendataandMC.Thisdierence91iscorrectedbyreweightingMCzowvertexdistributionsusingthereweightproGcessorfromtheFcafEff&fǫmcEff&futil92packqageUU[15
                    328: ].93WZ@andZp&TCgrew9eighting:iforPbGothW+jetsandZ+jets,thep&T
                    329: distributionfromMCPsamplesis94reweightedUUtomatchtheequivqalentdistributionindata,accordinglytothestandardway[16
                    330: ].95bfragmen9tation:
                    331: thejwsystematicsonthereweightjwoftheb-fragmentationfunctionfromthedefaultin96PythiatothevqaluetunedtoreproGducecolliderdatawasassumedtobethesymmetrizeddierencebetween97theUUAODandSLDtunes[17
                    332: ].98JetShiftingSmearingandRemo9ving(JSSR):)&duetodierencesinenergyscale,^resolution,recon-99structionandidenticationbGetweendataandMC,MCjetsareshifted,   smearedandpGossiblyremovedusing100standard}JSSR}proGcessor[18
                    333: ]._Inthisanalysisshiftingisturnedotosignalt'#&btOandontoWG=qZ4+jets101samples.102T
                    334: au0EnergyScale(TES):DduetotheanalysissensitivitytoanydierencebGetweendataandMC0inthe103energy&scaleoftausdecayinghadronicallyweapplyaE=pcorrectiontothisenergyscaleasdescribGedin104[19
                    335: ].105!C%{IKII.TRIGGERPARAMETRIZATION106
                    336: AsaforementionedthetriggerusedinthisanalysisisJT2ff3JT15LffIPffVX.InbGothv15andv16trigger107versions,$thistriggerhas4termsatlevel2.]Currently*,$onlythreeofthese,theL2H&TL,missingE&T ep(6qȵE&TL)and108sphericitybasedbrancheshavebGeenmodelledbythehbbgroup[5&].gaThereforethesearetheonesusedin109this<analysis.i[Themissingtermistheacoplanarityterm,Anamely*,L2JET(1,20,2.4)<L2HT(35,6)MJT(20,10)110L2ACOP(168.75),UUwhichisthesameinbGothv15andv15triggerlists.111
                    337: T*ableUUVIshowstheL1,L2andL3requirementsofthetrigger.112
                    338: Initswork,)thehbbgrouphasparametrizedthetriggerinthreeinstantaneousluminosity(10^32x)regions:113low(L&int<77),medium(77̵L&int<124)andhigh(L&int̲124).
Thenalgoalistomeasurethe114totaltriggereciencyforourevents.C&InordertodosowetakeintoaccountbGoththetriggerprobabilities115andtheb-tagprobabilities.&Thus,thetriggerprobabilitiesfor0,1,2and3ormoreb-taggedjetsarethen116multiplied&~bytheprobabilitiesof0,,1,2and3ormorejetsbGeingtagged,whicharethemselvesgotfrom117TRF's,UUasdescribGedinsectionIV&D.118
                    339: The3triggereciencyiscomputedasaprobability(ET;rigWeight)whichweassoGciatetoeachMC2event119with:120|"fP*=P&t0    8P&b0
                    340: 9+P&t1P&b1
                    341: 9+P&t2P&b2
                    342: 9+P&tO!cmsy73P&b3&((1)whereP&ti    Y@isthetriggerprobabilityfortheeventifithasib-tagsandP&bi  .isinturntheprobabilityofhaving121iUUb-tagsintheeventUUoinereconstruction.122123
                    343: Whatfollowsisabriefdescriptionofhowthetriggerprobabilitiesateachlevelwerecalculated.s%Single-124ob8jectturn-oncurvesweredeterminedusingmuontriggeredeventsfromtheTOPJETTRIGskim.>Some125turn-onUUcurvesarefoundinAppGendixB.qAmorecompletedescriptioncanbefoundin[5&].126
                    344: ʠ2&E103/B37ff&PMffff&PMY&Lev9elv15Ήff&PM&L1MCSWJT(3,8,3.2)CSWJT(2,15,2.4)CSWJT(1,30,2.4)
                    345: &L2axL2JET(3,6)TL2HT(75,6)SPHER(0.1)ORbEL2JET(1,30,2.6)TL2JET(2,15,2.6)L2JET(3,8)L2HT(75,6)MJT(10,10)OR=>ML2JET(1,30,2.6)TL2JET(2,15,2.6)L2JET(3,8)L2HT(100,6)&L3<3L3JET(3,15,3.6)TL3JET(2,25,3.6)jz&PV
                    346: оjƼ<35cm>FHBT:A9G(0.4)ff&PMY&NamelJT2ffgTy3JT15LffgIPffgVXff&PMffff&PMP]=~37ff&Z>ffff&Z>Y&Lev9elv16Ήff&Z>&L1S6CSWJT(3,8,3.2)CSWJT(2,15,2.4)CSWJT(1,30,2.4)
                    347: &L2F~L2JET(3,6)TL2HT(75,6)SPHER(0.1)STTIP(1,5.5,3)OR">L2JET(1,30,2.6)TL2JET(2,15,2.6)L2JET(3,8)L2HT(75,6)MJT(20,10)ORbEL2JET(1,30,2.4)TL2JET(2,15,2.4)L2JET(3,8,2.4)L2HT(75,6)STTIP(1,5.5,3)&L3IL3JET(3,15,3.6)TJT(2,25,3.6)jz&PV
                    348: оjƼ<35cm>FHBT:A9G(0.4)ff&Z>Y&NameJT2ffgTy3JT15LffgIPffgVXff&Z>ffff&Z>?㩍T:ABLEgnVI:Lev9el-by-levelgndescriptionoftriggerJT2ffgTy3JT15LffgIPffgVX.gnTheCSWJT(x,y,z)termcorrespAondstoxL1
                    349: jetsabAo9veyGeVandwithinjRjƼ<z8b.VTheJT(x,y:,z)termcorrespAondstoxjetsreconstructedatL2orL3withp&Tm>yGeVEandFjRjƼ<zc.TheFHT(x,y)termisusedonlyatL2andrequiresthatthesumofthetransv9ersemomentaofL2jetsciwithp&Tϼ>yGeVcUisabAo9vecixGeV.TheSPHER(0.1)termrequirestheev9entcisphericitycalculatedfromL2jetstobAegreaterthan0.1.7TheMJT(x,y)termcorrespondstoamissingtransv9erseenergy>xGeVmcalculatedfromjetslwithE&T>yGeV.TheSTTIP(1,5.5,3)termrequiresoneL2STTltrac9kwithanimpactparametersignicancegreaterthanorequaltothreeanda-=2m<ƹ5:5.KThejz&PV
                    350: оj<35cm>3htermrequirestheprimaryv9ertexreconstructedatL35>tobAewithin35cmofthecen9terofthedetectorandtheBT:AG(0.4)termisusedonlyatL3andcorrespAondstoaTcutof0.4ontheprobabilit9yfortheeventtonotcontainab-quark.-dA.
                    351: ^LevCel1127Level1consistsofjettermsonly:X1jetwithE&T  Ƶ>30GeV
andj[ٸj3<2:4,OasecondjetwithE&T>15GeV128andUUj[ٸj<2:4andathirdjetwithE&T      ε>8GeVandj[ٸj<3:2.qThetotalL1probabilityisgivenby129'z@&LʍP&c(L1)+=[P&c(3jetsUW)8+P(=2jetsUW)P(1noiseUUjet$q)+P(=1jetc)P(2noiseUUjets(c)+P(=0jetsUW)P(3noiseUUjets(c)]V8[P&c(2jetsUW)+P(=1jetc)P(1noiseUUjet$q)+P(=0jetsUW)P(2noiseUUjets(c)]V8[P&c(1jetc)+P(=0jetsUW)P(1noiseUUjet$q)]ɍ&((2)Ɏ'pzwhereP&c(dXxjets)istheprobabilityofhavingxormorejetspresentintheeventandP&c(=dXxjets)is130the)yprobabilityofhavingexactlyxjetsintheevent.      4ThetermEnoiseBjetsreferstoallthoseL1jets131that­didn'tmatchtoanoinejetwithin&R;<'0:5.IntheequationabGovetherstlinecorrespGonds132to#thetermCSWJT(3,8,j[ٸj<3:2$),`thesecondtothetermCSWJT(2,15,j[ٸj<2:4)andthethirdtotheterm133CSWJT(1,30,j[ٸj<2:4$).:L1jetsthatmatchedoineoneshadtheirturn-oncurvesparametrizedasfunctions134ofkqoinejetpT&c's.ThenumbGerkqofnoisejetspereventkqwasparametrizedasafunctionofoineH&TL.AllL1135turn-onUUcurvesarefoundinAppGendixB&1.136 WϠB.
                    352: ^LevCel2137Levelm#2partofthistriggerconsistsofanORmofthreeterms(hereclassiedasEtop,sEhbbandEmjt),eachwith138aUUvqariationforv15andv16:139|v15Ttop:-5G3UUjetswithp&T       ε>8GeV,2withp&T>15GeV,1withp&T>30GeVandH&T>100GeV1402v16Ttop:-5G3$jetswithp&T ε>8GeV,2withp&T>15GeV,1withp&T>30GeV,H&T>75GeV$andSTTIPwith141IPSIGUU3and^2C<5:5.142v15Th9bb:/q3UUjetswithp&T        ε>6GeV,H&T>75GeVandsphericity>0.1143v16Th9bb:/q3jetswithp&T     ε>6GeV,H&T>75GeV,sphericity>0.1andSTTIPwithIPSIG3and^2C<5:5.1442&E11jv15Tmjt:.*3jetswithp&T        o>8GeV,2jetswithp&T>15GeV,1jetwithp&T>30GeV,H&T>75GeVand6E&T145>UU10GeV.146v16Tmjt:.*3jetswithp&T o>8GeV,2jetswithp&T>15GeV,1jetwithp&T>30GeV,H&T>75GeVand6E&T147>UU20GeV.148
                    353: F*orUUthislevelthenettriggerprobabilityis149"?@&ʍɵP&c(L2)!W=P&c(hbb8[mht[top)!W=P&c(top)8+P(hbb)+P(mht)P(top\hbb)P(top\mht)P(hbb\mht)+P(hbb\mht\top)ɍ&((3)!whereUUP(x)correspGondstotheprobabilityofeitherL2,themht,hbborthetoptermring.150Lev9el2jetterms:afrom3T*ableVIweseethatforv15triggerversion,:L2jetstermsareactuallysubsetsof151L1.OAsv-hereconditionalprobabilityisused,~citmeansthattheprobabilityofL2jettermsringifL1terms152redaisunity*.1Howeverainv16thePtrequirementofjetsinthersttriggertermwasloGosenedfrom8to6153GeVNandhArequirementon8GeVjetsinthethirdtriggertermwastightenedfromj[ٸjj<3:2htojjj<2:4.154As"intheL1case,UallL2jetsmatchingoineoneshadtheirturn-oncurvesparametrizedasfunctionsof155oine=jetp&TL's,BWexceptfornoisejets,whosenumbGer=ineacheventwhichparatrizedasfuncionsofoineH&tV.156T*urn-onUUcurvesforthesecasesarefoundinAppGendixB&2.157Lev9elς2H&T8term:$this.termconsistsofacutofH&T
                    354: {>175GeV.forv15andH&T>`100GeV.forv16).158CorrespGondentUUturn-oncurvesareshowninAppGendixB&3.159Lev9el?26E&T
                    355: Iterm:3thexcorrespGondent6E&T cutsare>10GeVxand>x20GeVforv15andv16respGectively*.160TheirUUturn-onareshowninAppGendixB&4.161L2ASphericit9yT
                    356: erm:1this"termrequiresasphericitycutof>0.1.GCorrespGondingturn-oncurvesareshown162inUUAppGendixB&5.163L2STT:DtheL2STTIPDeciencywasmeasuredforeventsinv16whichhavepassedtherestoftheL1,164L2}(L2topOR}L2hbb)andL3(exceptL3b-tag)triggerrequirementsandtheoinethreetovejetselec-165tion.Theםeciencywasmeasuredversustheinvqariantmassofthetwoleadingjets,/separatelyfor0,1,2166and3oinetightNNb-taggedevents,xinthethreedierentluminosityregions.AppGendixB&6showsthe167STTIP(1,5.5,3)+eciencyversustheleadinginvqariantdi-jetmassinthelow,mediumandhighluminosity168rangeUUfordierentnumbGerofoineb-tags.169!C%ϐ2C.
                    357: ^LevCel3170L3dconsistsofajetpartandab-tagone.F*orthejetpartofL3,gturn-oncurvesweredeterminedforevents171passingUUbGothL1andL2requirements.qCorrespondingprobabilityisgiventheequationbGelow172@&ʍP&c(L3)+=[P&c(3jetsUW)8+P(=2jetsUW)P(1noiseUUjet$q)+P(=1jetc)P(2noiseUUjets(c)+P(=0jetsUW)P(3noiseUUjets(c)]V8[P&c(2jetsUW)+P(=1jetc)P(1noiseUUjet$q)+P(=0jetsUW)P(2noiseUUjets(c)]ɍ&((4)Ɏ!InrtheequationabGovertherstlinecorrespondstothetermJT(3,15,j[ٸj<3:6$),9thesecondtotheterm173JT(2,25,j[ٸj<3:6$).YxHerewasappliedthesametreatmenttoL3jetsmatchingoineonesandtonoisejets174asUUinL1andL2jetterms.qCorrespGondingturn-oncurvesareshowninAppGendixB&1.175
                    358: Ecienciessfortheb-tagpartofL3weremeasuredintwodierentwaysdepGendingwhetherthetriggerlist176was
                    359: v15orv16.?YInthev15caseeventswererecordedwiththeJT2ff4JT20andJT2ff3JT12LffMM3ffVtriggers,177sinceI^theirL1andL2conditionswereexactlythesame.mEventswerefurtherrequiredtopasstherestofL3178conditionsYofJT2ff3JT15LffIPffVXYandYtheoineeventYselection.Inthev16caseecienciesweremeasured179inasimilarfashion,+butusingtriggerJT4ff3JT15LffVX(whichhasnoL2STTorL3BT*AGrequirements).180Events`werethenrequiredtohaveredoneofthethreeL2branchesofJT2ff3JT15LffIPffVXRandtopassthe181oineUUthreetovejetselection.qAllturn-oncurvesforbGothtriggerlistsarefoundinAppendixB&8.182w2&E12jўIV.zOBJECTIDENTIFICATION183InUUthissectionwedescribGethemainob8jectsusedinthisstudy:qǸ6qȵE&T,jetsandhadronictaucandidates.184!c%ںA.
                    360: ^Taus185T*ausarereconstructedintheDdetectorfromenergyinthecalorimeterandoneormoretracks.Thetau186
P\reconstructionyalgorithmusesaconeof&Rʲ=n5u
                    361: 
                    362: cmex10p
n5fe*e       ˍ`
                    363: %2+8`
2:'l<0:5andaninnerconeof&R<0:3isusedto187calculateUUtauisolationvqariables.188
                    364: F*orUUus,themostimpGortantdiscriminatingvqariablesfor&!Dz-leptonsare[20
                    365: ]:189poProleUU-iErb}1O
\cmmi5T+Erb}2Tɉfe$M.:#cmex7P
                    366: L@i<Eb}iύT"Q,whereE^ibT   istheE&Tofthei^th`highestE&TtowerUUinthecluster.190Isolation,denedas&h2Eb}(0:5)E(0:3)2ʉfe3+Eb}(0:3)9Z,whereE(RDz)istheenergycontainedinay[;&ofradiusRLaroundthe191
$calorimeterUUclustercentroid.192𐍍T*rackȒisolation,%adenedasscalarsumofthep^0bTHofnon-Ytracksina[;&coneof0.5aroundthe193calorimeterUUclustercentroiddividedbysimilarsumfortracksassoGciatedwith&!Dz.194g
                    367: SuchUUvqariablesarechosenbasedonthepGossibletaudecays:195electronUUormuon(߸!e&eKK&Tor!&\&5),BR=35%.196singleUUchargedhadronandnoneutralhadrons(߸![ٟ^ڵ&5),BR=12%.197singleUUchargedhadron+1neutralhadron(i.e.,߸!^&&M!([ٟ^0,+8[ٟ^ڲ)&5),BR=38%.1983UUchargedhadrons+0neutralhadrons,BR=15%(so-called\3-prong"decays).199whichleadsusclassicatereconstructedtausintothreedierenttypGesdependingonthenumberoftracks200andUUelectromagnetic(EM)clusters[21
                    368: ]:201
81.T9ypQe1:ocalorimeterT`cluster,"onematchedchargedtrackandnoassoGciatedEMTsubcluster.nMainly202߸![ٟ^ڵ&5.203𐍍
82.T9ypQe2:bcalorimetercluster,onematchedchargedtrackandoneormoreassoGciatedEMsubclusters.204MainlyUU߸!^&&M![ٟ^0L[ٟ^ڵ&5.205
83.T9ypQe3:[Mcalorimeter(`cluster,1^twoormorematchedchargedtracksandwithorwithoutEM(UsubGcluster.206MainlyUU߸![ٟ^ڵ[ٟ^[ٟ^+i([ٟ^0L)&5.207g
                    369: InKrordertoprovideanoptimaltauidentication,threeNeuralNetworks(NNs)aretrainedtoidentifythe208threeUUtypGesofthetaus(1,2and3).209
                    370: TheeoutputoftheseNNsprovidesasetofthreevqariables(Fnnout=1,2,3)tobGeusedtoselectthetauin210the~event.\*ThetypGesroughlycorrespondtothe6Eleptondecaymodes.\*HighvqaluesofNNncorrespondtothe211physicalUUtaus,whilelowonesshouldindicatejetsmisidentiedastaus(fakes).212!c!B.
                    371: ^Jets213JetsareidentiedusingtheRunIGIconealgorithm[22
                    372: ]withconesizeof&RB</ 0:5.-
                    373: ThejetalgorithmT42214[23
                    374: ]]isranbGeforejetreconstructiontoremove]isolatedsmallenergydepositsduetonoise.Dstandardjet215qualityIcuts[24
                    375: ]includeL1T*riggerinformation,
calorimeterelectromagneticfractionandcoarsehadronic216fraction.217
                    376: JetsusedinthisanalysisarerequiredtohaveatleasttwoprimaryvertextracksassoGciatedtothem218(vertexZconrmedjets).pItimpliesthatalthoughacalorimeterclusterisstillreconstructedasajet,itwill219bGe#Ddiscardedifithaslessthan2associatedPV#tracks.ۓInordertocorrecttheenergiesofreconstructed220jets\indataandMCIbacktoparton-levelenergies,weapplycertiedjetenergyscalecorrection(JES)[25
                    377: ].221Additionally*,cjets`containingamuonwith&RDz(;&jet)O<0:5`fromab-quarkdecayarecorrectedtotakeinto222accountUUthemomentumcarriedawaybythemuonandtheneutrino[26
                    378: ].223
[2&E13jvyC.
                    379: ^6hET224Presenceofneutrinosinaneventcausesanimbalanceofenergyinthetransverseplane(6qȵE&T).SXThisquantity225is calculatedfromthetransverseenergiesofallcalorimetercellsthatpasstheT42algorithm,exceptthose226of
                    380: thecoarsehadroniclayers
                    381: duetohighnoiselevel.iHowever,they
                    382: areincludedinthecasethattheyare227clustered?withinareconstructedjet.jWThisraw6qȵE&TXiscorrectedfortheenergiesofotherob8jectslikephotons,228electrons,kvtaus3andjets.
KAsmuonsdepGositonlyasmallportionoftheirenergyinthecalorimeter,kvtheir229momentaUUissubtractedfromthe6qȵE&Tvector.230!C%|6D.
                    383: ^TheNeuralNetCworkb-taggingAlgorithm231
                    384: BeingLQCDLandWP+jetsthemainsourcesofbackgroundsinthisanalysis,requiringthepresenceof232atleastonejetcomingfromab-quarkisaverypGowerfulmethoGdofbackgroundrejection.*Theb-tagging233algorithm:eusedinthismeasurementisaNeuralNetwork(NN):*taggingalgorithmdevelopGedbytheb-ID234group[27
                    385: ],whichcombines7characteristicvqariablesofSVT,JLIPandCSIPtaggingalgorithmsintothe235NNdiscriminant.2AsinthepreviousanalysiswehavechosentheopGeratingpointTIGHT,whichisequivqalent236to,requiringtheNN,discriminantoutputtobGegreaterthan0.775.dNBoththeaverageeciencyandfakerate237areUUcomparablebGetweenUUthisp20versionofthealgorithmandtheversionusedinp17[28
                    386: ].238
                    387: Ea.
                    388: 8bE-taggingZ"eciency
                    389: &Indataweapplytheb-taggingalgorithmdirectlytojetsselectedinoursample.239InMCsuch\directtag"isnotdone.5InsteadwehavetoapplyacertaineciencytoMCsamples.5This240inclusive5!b-decayeciency(&bD)ismeasuredindataanditistheproGductoftheprobabilitytotagab-jetin241anlMCUsample(^M,Cvb6)containinginclusivedecaysofthebquarktimesascalefactor.z
Thisdata/MCUscale242factorCisgivenbytheratioofdatasemileptoniceciency(^D7AT&Avb!Ͳ)andaMC2semileptoniceciency(^M,Cvb!).243This9vscalefactor,?    thatmeasurestheeectonthetaggingratecausedbythedierencesintrackingbGetween244data5andMC,isthenusedtopropGerlyscaletheMC-derivedeciency*.gEItisassumedthatsuchfactorcould245bGeUUappliedtoanyMCtaggingeciency[27
                    390: ].246
                    391: Eb.
                    392: 8cE-taggingeciency
                    393: &ItF;isassumedthatthesameproGcedureadoptedintheb-jetcaseisalsovqalidfor247c-jets,+namely*,a!c-jetscalefactor(^D7AT&Avb!Ͳ)/(^M,Cvb!)multipliestheprobabilitytotagac-jetinanMC!sample248
(^M,Cvb6)UUtogetthec-taggingeciency*.249
                    394: Ec.
                    395: 8Lightjettaggingeciency
                    396: &Theصb-tagfakeratefromlightquarksiscomputedbymeasuringthe250negativetagrateasdenedin[29
                    397: ].U0ThemethoGdusestsofb-,c-andlightjetstaggingratestobinneddata251combinediwithsamplecompGositionestimatedfromdata.BinnedNNioutput(N&N&out25)distributionsforb,nc252andUUlightjetsisttedtodatadistributionusingb-andc-jetecienciesprovidedbystandardbIDTRF's.253
                    398: Ed.
                    399: 8T;aggability
                    400: &b-tag\
                    401: algorithmcan'tbGeappliedtoanyjet,]butonlytheonesthatcontaintracks.Such254jetsearecalled\taggable"andaredenedbymatchingwithin&Ry<0.5toatrackjet,compGosedofat255least<Ftwotracks.imJustlikeb-tagging,AItaggabilityisdierentindataandMC,duetoimpGerfectsimulationof256trackingssystem."T*oaccountforthis,{taggabilityratefunctionsareappliedtoMCUevents."Suchfunctions257areparametrizedintermsofjetp&TL,jetʲandprimaryvertexzp.TheywerederivedonthesingletoploGose258data{samples,wheretheisolationqualityoftheleptonisloGose.Thevqalidityofthesefunctionsistested259by[comparingobservedandpredictedtaggabilitytotightsamples.TheresultsshowagoGod[agreementas260describGedUUin[30
                    402: ].261ݠ2&E14jV.`ANALYSISOUTLINE262
                    403: Up~tothispGointwehavepresentedthedatasampleusedinthisanalysis(SectionIGI&A)theMonteCarlo263samplesandcorrectionsappliedtothem(SectionsIGI&CandII&D),thetriggerusedanditssimulation(Section264IGII)andtheob8jectIDmethoGd(SectionIV).INowwedescribGethenextstepsoftheanalysistowardsthenal265crosseUUsectionmeasurement:266Preselections(sectionVI):atleast4jets,{atleastonewithNN>0.3andp&T   Fٵ>#10GeV/c,15GeVs2676qȵE&T   UU500GeVand6E&T     signicance>4.0.268&!Dz-} andb-ID}cuts(sectionVIGI):\atleastonegoodleptoncandidateandatleastonetightNN}b-tag269areUUrequired.270T*opGologicalhNNX(sectionVIII&B):Rafeed-forwardNN'sistrainedinordertoprovidesignal-background271separation.yThe>NN(wasoptimizedbytestingdierentsetsoftopGologicalvqariablesasitsinputsand272byUUapplyingdierent6qȵE&T    signicancecuts.273T*opGologicalPVariables(sectionIX):sectionshowingnalanalysisplotsoftopGologicalvqariablesof274interest.275CrossSection(sectionX)Thesignalfractiondeterminationiscombinedwithintegratedluminosity276measurementYtocalculatethecrosssection.@sSystematicuncertaintiesaredeterminedby
uctuatingthe277signicantQcompGonentsupanddownbyonestandarddeviationoneatatime,RPpropagatingitthrough278theUUentireproGcedure.279!C%VI.͹GPRESELECTION280
                    404: TheSYpreselectionistherststepoftheanalysis.qThecutspresentedherewerechoseninordertoprovide281thebGestbackgroundreductionandenhancethet'#&btBcontentatthispGoint.dThecutsarethesimilartothose282usedinthep17analysis[3&]exceptthatforthistimeweoptedtooptimizethevqalueof6qȵE&T        ]signicancealong283withrthesetsofvqariablesweusedasinputstoNNrtraining(SectionVIGII).jCutsrshownbGelowwereapplied284toUUsamplesshowninT*ableVaswellastodataasshowninSectionIGI&A.285Atleast4jetswithp&T   >4:15GeVand<2.5,/withleading(inp&TL)jetp&T>4:35GeVandsecondand286thirdUUjetshaveUUp&T        ε>25GeV287atUUleastonewwithNN>0.3andp&T     ε>10GeV28815UUGeV6qȵE&T    500GeV2896qȵE&T    signicanceUU4.0290Noisolatedelectronormuon.ThisisdoneinordertoensureorthogonalitywithotherDmeasure-291ments/([31
                    405: ]and[32])-events/thatpasstheleptonpreselectioncutsfromthesemeasurementswere292vetoGed.Also$eventsthatpasstheall-jetsanalysispreselectioncuts(describGedinthealljetanalysis293noteUU[33
                    406: ])arerejectedhere.294
                    407: Amongf!allpreselectioncutsoneofthemrequiresamoredetaileddescriptionatthispGointsinceitrepresents295an^improvementupGontheoldp17analysis:6&,E&T
                    408: lsignicance.Missingtransverseenergysignicanceisa296measure;ofthelikelihoGod;of6sE&T
                    409: <arisingfromphysicalsources.BzItiscomputedfromcalculatedresolutions297ofphysicalob8jects(jets,electrons,muonsandunclusteredenergy)[3&,34
].7Initiallyno6jE&T  Ӳsignicancewas298appliedneitheronMCnorondata.Inthisanalysiswedecidedtooptimizethe6E&T
                    410: Vsignicancecutalong299withtheNNoptimizationitself.^Afternishingthe6E&T
                    411: dsignicanceoptimizationpartwewentbackand300appliedtheoptimizedcutalongwiththenon-optimizedNNeleccutonlytoMC.Theentireoptimization301proGcedureUUisdescribedinSectionVIII&C.302
                    412: Indata,initiallythesamplecontainedapproximately650millioneventsandthenumbGerofpreselected303eventsUU(onceagain,without6qȵE&T signicanceapplied)isapproximately2.8millionevents.304
                    413: AnotherrelevqantaspGectofthepreselectionistheusageofParticleSelector(onlyappliedtoMCsamples).305In
thisstepweaimedtoselectaparticulart'#&bt     /nalstate,{namely*,we
splitWdecayintoW/!\e==Բand306tracked4separateecienciesforeachoftheseproGcesses.fInthisstepweselectedhadronicdecaysoftau,;Kand307&82&E15jatFthesameeventsFwheretaudecaysintoelectronsandmuonswereputintoe+jetsF߲and+jetsF߲samples.308AsUUinp17,wedecidedtodonotsplitthedileptonsampleindierentlepton
avors.309
                    414: BeforeproGceedingtothenextstep,itisimportanttodescribetheresultofthepreselectionintermsof310itsZ]ecienciessincealltherestofanalysisstronglydepGendsonthecutsappliedatthislevel.Aspreviously311describGed,;ֵt'#&btwere5vgeneratedbyALPGEN.InALPGEN,dierentproGcesswithdierentnumbGersofpartons312have]dierentcross-sectionsandnumbGerofevents.XThisfactmustbGetakenintoaccountwhencalculating313the8meciencies,>5namely*,ecienciesmustbGeproperlyscaledtotheluminosity(4951.85pb^1
                    415: t)ofthesample.314T*ablesUUVIandIGIIUUshowthenumbGerbeforementionedfort'#&btc!lepton+jetsandt'#&bt!dileptonrespGectively*.315&dh.6ff&Y&h
                    416: ff{٘ProAcess
                    417: ffL#Tofev9ents&h
                    418: ff64cross-sectionT(pb)&h
                    419: ffʴalpgenTw9eight&h
                    420: ffΉff&ffff&롍&h
                    421: ff٘0Tligh9tparton
                    422: ffUf777068Gt&h
                    423: ffq1.4>&h
                    424: ffL0.00892&h
                    425: ffff&롍&h
                    426: ff٘1Tligh9tparton
                    427: ffUf457782Gt&h
                    428: ff9s0.577@&h
                    429: ffL0.00624&h
                    430: ffff&롍&h
                    431: ff٘T2ligh9tpartons
                    432: ffUf321166Gt&h
                    433: ff9s0.267@&h
                    434: ffL0.00412&h
                    435: ffff&뎎%+T:ABLETVIAI:tVۍ &%t!lepton+jetsALPGENw9eights.<30h.6ff&Y&h
                    436: ff{٘ProAcess
                    437: ffL#Tofev9ents&h
                    438: ff64cross-sectionT(pb)&h
                    439: ffʴalpgenTw9eight&h
                    440: ffΉff&ffff&롍&h
                    441: ff٘0Tligh9tparton
                    442: ffUf749642Gt&h
                    443: ff9s0.352@&h
                    444: ffL0.00233&h
                    445: ffff&롍&h
                    446: ff٘1Tligh9tparton
                    447: ffUf452177Gt&h
                    448: ff9s0.142@&h
                    449: ffL0.00156&h
                    450: ffff&롍&h
                    451: ff٘T2ligh9tpartons
                    452: ffUf281453Gt&h
                    453: ff9s0.068@&h
                    454: ffL0.00119&h
                    455: ffff&뎎/T:ABLETVIAII:tVۍ &%t!dileptonALPGENw9eights.!N9
                    456: T*ables_
                    457: IX,vX,XIandXIGIshowcut
owsforallpreselectioncutsappliedtodierentt'#&bt
                    458: ~decays(only316statisticalUUuncertaintiesareshown).317PYfӉff&Y"5SelectionksEv9entsRelativ9eŜCum9ulativeΉff&(DInitialmw11164
                    459: \P9articleTselectoroǸ2412c21:6080:03T%821:6080:03T%DuplicateTev9entsremov|raloǸ2411c99:9880:01T%821:6080:03T%lPEv9entTqualityoǸ2315c96:0080:04T%820:7480:03T%JetTselectionoǸ1307c59:4580:09T%811:7080:03T%dV:ertexTselectionoǸ1296c99:1880:02T%811:6180:03T%ElectronTv9etooǸ1282c98:9380:01T%811:4980:03T%MuonTv9etooǸ1282c99:9380:01T%811:4880:03T%6]METTselectionoǸ1218c95:0580:05T%810:9180:02T%METTsignicancer772c63:3980:12T%̈6:9280:02T%NNTtaucutr394c53:5180:15T%̈3:7080:02T%ff&O_T:ABLETIX:PreselectiontSaHWt!Ƽ7+8jetscut
o9w&2&E16bvፍhӉff&/       Y 0SelectiongEv9entsARelativ9eCum9ulativeΉff&/       &?Initialiѯ11164
                    460: P9articleTselectorl!4385Y39:2880:04T%ƒ39:2880:04T%DuplicateTev9entremov|rall!4383Y99:9680:01T%ƒ39:2680:04T%KEv9entTqualityl!4207Y95:9780:03T%ƒ37:6880:04T%JetTselectionl!1923Y45:7180:07T%ƒ17:2280:03T%_V:ertexTselectionl!1907Y99:2080:02T%ƒ17:0880:03T%ElectronTv9etol!1048Y54:9480:10T%9:3980:02T%0
                    461: MuonTv9etol!1047Y99:9580:01T%9:3880:02T%cXMETTselectionl!1002Y95:6480:05T%8:9780:02T%METTsignicancenq669Y66:7480:13T%5:9980:02T%NNTtaucutnq395Y59:1280:16T%3:5480:02T%ff&/ OqT:ABLETX:PreselectiontSaHWt!Ƽe8+jetsTcut
o9wFvፍhӉff&/      Y 0SelectiongEv9entsARelativ9eCum9ulativeΉff&/        &?Initialiѯ11164
                    462: P9articleTselectorl!4367Y39:1280:04T%ƒ39:1280:04T%DuplicateTev9entremov|rall!4366Y99:9680:04T%ƒ39:1080:04T%KEv9entTqualityl!4189Y95:9580:03T%ƒ37:5280:04T%JetTselectionl!1990Y47:5280:07T%ƒ17:8380:03T%_V:ertexTselectionl!1975Y99:2380:02T%ƒ17:6980:03T%ElectronTv9etol!1967Y99:5980:01T%ƒ17:6280:03T%0
                    463: MuonTv9etol!1170Y59:4880:09T%ƒ10:4880:02T%cXMETTselectionl!1127Y96:3180:04T%ƒ10:0980:02T%METTsignicancenq812Y72:0680:11T%7:2780:02T%NNTtaucutnq186Y22:9580:13T%1:6780:01T%ff&/       O#T:ABLETXI:PreselectiontSaHWt!Ƽ8+jetsTcut
o9wad)!Ӊff&
oY 0SelectiongEv9entsRelativ9eCum9ulativeΉff&
o&?Initiall!2799
                    464: P9articleTselectorl!2799Y100:0080:00T%2100:0080:00T%DuplicateTev9entremov|rall!2799Y100:0080:00T%2100:0080:00T%KEv9entTqualityl!2685FX95:9280:02T%͂95:9280:02T%JetTselectionnq145W5:4180:02T%ҭ5:1980:02T%_V:ertexTselectionnq144FX99:3280:03T%ҭ5:1680:02T%ElectronTv9etonq110FX76:1480:13T%ҭ3:9380:01T%0
                    465: MuonTv9etop83FX75:0880:16T%ҭ2:9580:01T%cXMETTselectionp80FX96:4580:08T%ҭ2:8480:01T%METTsignicancep60FX75:3280:19T%ҭ2:1480:01T%NNTtaucutp38FX63:2180:24T%ҭ1:3580:01T%ff&
oOWLT:ABLETXIAI:PreselectiontSaHWt!Ƽl4q+8l;cut
o9w&'2&E17j
                    466: VIKI.DbʺANDĝSELECTIONS318
                    467: In3thenextstepweappliedtherequirementsoftight&!Dz-andb-tagging.r`T*ableXIGII3showstheselection319criteriathatweappliedtodataandMC.Theb-tagopGeratingpointusedwasTIGHT,whichcorrespGonds320toENNbtag>0.775.lW*echosethegwiththehighestN&N&EasEthe&candidate.lAtthisstageoftheanalysis321weֵseparatedtheeventsdatasetwedealwithintoparts,
accordingtowhichtypGeof|thecandidatewith322highestaNN`bGelongs.ThiswasdoneprimarilytoseparatethetypGe3tauevents(whichareexpGectedto323havemuchhigherfakerateandthusweakert'#&bt ɲcrosssectionresult)fromthetypGe2events.Theseparate324measurementchannelswerelatercombinedtogetthenalresult(SectionX).Inprinciple,dtypGes1and2325shouldJbGeseparatedaswellbutasthereexistsaconsiderablecross-migrationbetweenJthem[20
                    468: ]andtype3261isasmallfractionofthetotal(10%oftypGe1,I\54.5%oftypGe2and35.5%oftypGe3),I\theyweretaken327togetther8inthisanalysis.oThetopGologicalNNusedtoenhancethesignalcontent8isdescribedinsection328VIGII&BUU.329
                    469: At]thispGoint,weusedtheseIDEalgorithmstodene3mutuallyexclusiveandexhastivesubsamplesout330ofUUtheoriginalpreselecteddatasample:331The$\non-bveto"or\signal"sample-the,candidatehasN&N&O>0:90(NN&       
                    470: YdenotestheNN
                    471: cut332commonlyrappliedtoalltaus)fortaustypGes1and2andN&N(&!Dz)q>0:95rfortaustypGe3,zXandatleast333onet)NNt"b-tag(asinT*ableXIGII).DTheset)N&N(&!Dz)cutswerechosenbasedonpreviousstudiesinvolving334hadronic8wdecaysoftaus[19
                    472: ,>=37
>?].h(Thisisthesampleusedtoextractthecrosssection.Jetsmatchedto335wcandidatesUUarenotb-tagged,althoughttheystillcountasjets.336The
                    473: &\+vetosample"or\loGose-tight+sample"-Sameselection,7Zbutwith0:3s<N&N&<0:7
                    474: &forall337taus.h&RNN^lowercutof0.3insteadof0.0waschosentobiastheirjetpropGertiesclosertothoseof338tight5taucandidates,<0inparticular,sotheyhave5narrowshowers.gMTheuppGercutisat0.7andnot0.95339or40.90toreducesignalcontamination.dInthissample,l1400000eventswereusedforNN(trainingfor340taus*typGe1and2and600000eventswereusedinthecaseoftypGe3taus.EInbothcases,therestof341theUUsamplesservedasQCDtemplate.342Theo\bveto"sample-Requireexactly0tightb-tags.Thisisthecontrolsampleusedtoverifythe343vqalidityoftheQCDmoGdellingmethod.KThebvetorequirementimpliesthissampleisalmostpurely344background.345
                    475: AlongDwiththeN&N&D4cutdescribGedabove,HDweDalsoappliedthecutNNelec>0.9onlytotype2taussince346thesearemorelikelytobGefakedbyelectrons.EThecutNNelec>0.9waschoseninordertomatchthelowest347cutUUofN&N&T>0.9appliedtotypGe2taus(SectionVII).348
                    476: AsbGothbandrIDuisthestepimmediatelyafterthepreselection,thenumberofeventsavqailableis2800000349million@events.jAsexplainedabGove1400000eventswereusedfortaustypGe1and2NN@
                    477: trainingand600000350fortypGe3tausNNtraining.Thus,\thereare1400000eventsavqailableineachsampleforthemeasurement351inh&thecaseoftypGes1and2and2200000inthecaseoftypGe3.:DetailsonNNh!trainingaregiveninSection352VIGII&B.353
                    478: TheUUQCDmoGdellingmethodusedhereisthesameasusedinp17andisdescribedinSectionIXAof[3&].354
                    479: The_nalnumbGer_ofevents_ineachchannelforbGothsignalandbvetosamplesisshownonT*ablesXIV,355XV,UUXVIandXVIGI(onlystatisticaluncertaintiesareshown).356
                    480: As$cimpGortantasdeterminingthesubsamplestobeusedinthisanalysis,X&adeterminationaspreciseas357pGossibleڭofbothsignalandelectroweakڭcontaminationinthe\loGose-tighttsample"hadbGedoneinorder358to6knowwhetherthissampleistotallyQCD%dominatedornot..iNumbGersshowingthecompGositionofsuch359sampleTareshownonT*ablesXVIGIITandXIXwiththeirrespGectivestatisticaluncertainties.QF*romthet'#&btbcontent360ineachcaseweareableestimatethesignalcontaminationintheloGose-tightsample.DSuchcontaminations361are?5.4%and3.0%fortaustypGe1and2andtypGe3respectivelywhenacrosssectionof7.46pbisassumed362(SectionIGI&C).qLikewiseweseethatelectroweakcontaminationsare2.2%and0.9%.qAsthisisthesample363usedotomoGdeltheQCDFbackgroundbothsignalandelectroweakocontaminationsweretakenintoaccount364whenUUmeasuringthecrosssectioninSectionX.365&72&E18aЍ`45ff&YFDZdata&ltaggingMC
                    481:   ]F1ȴwithj@Lj<2:5andp&&mTJ>20GeVjͷF1ȴwithj@Lj<2:5andp&&mTJ>20GeV5gF1NNb-tag!mcw08eig@Lht&,&T&r7igWeight&,&bT&agPr7ob&,&l
                    482: `umiR ,eW&eight&P&V&zI{R      ,eWeight&,&bF&r7agWeight&$&W&Z}PtR      ,ew08eig@LhtF4jetswithj@Lj<2:5andp&&mTJ>20GeVpF4jetswithj@Lj<2:5andp&&mTJ>20GeV)s0T:ABLEXIAII:b-taggingand&ID.IntheMC,w9eusetheb-taggingcertiedparameterizationratherthanactual
                    483: b-tagging,thaty)is,w9eappliedtheb-taggingweight.GW:ealsousedthetriggeringweightascomputedbythetriggereciencyparameterizationasw9ellasluminosityproleandP&HV&Z    reweightingweights. kmcw>eigRhtistheMCnormal-izationbfactors(toluminosit9y),vwhichbaredieren9tforMCbsampleswithdierentpartonmultiplicitiesinALPGENMCTsamples.&       s&o fftiY-Sample!w#Tev9entsΉffti3Ldataw386
                    484: 􍍑!mtSaHWt!Ƽ7+8jets~48.03T0.53!BtSaHWt!Ƽe8+jets~25.57T0.36!1^tSaHWt!Ƽ8+jets~3.21T0.14)1dtSaHWt!Ƽl4q+8l~4.01T0.07
                    485: W&Hbb8+jetsƾ!Tl&9+bb+jets~7.48T0.30ѼW&Hcc8+jetsƾ!Tl&9+cc+jets~4.68T0.17W&HjjI+8jetsƾ!Tl&9+jjI+jets~5.66T0.11"Zbb8+jetsƾ!T&7+bb+jets~0.93T0.08Zcc8+jetsƾ!T&7+cc+jets~0.51T0.04xFZjjI+8jetsƾ!T&7+jjI+jets~1.07T0.10gZbb8+jetsƾ!Tee+bb+jets~0.03T0.01۝Zcc8+jetsƾ!Tee+cc+jets~0.00T0.00EǼZjjI+8jetsƾ!Tee+jjI+jets~0.02T0.01Zbb8+jetsƾ!T+bb+jets~0.07T0.02ּZcc8+jetsƾ!T+cc+jets~0.02T0.01ZjjI+8jetsƾ!T+jjI+jets~0.01T0.01ۼZbb8+jetsƾ!Tq+bb+jets~0.08T0.03Zcc8+jetsƾ!Tq+cc+jets~0.00T0.00n;ZjjI+8jetsƾ!Tq+jjI+jets~0.04T0.01ffti~xT:ABLEmXIV:Finaln9umbAermofev9entsmineac9hchannelfortaustypAes1and2uafterb-tagging,IDmandtriggerin
                    486: theTsignalsamplewhentheassumedcrosssectionis7.46pb.pAnestimateofQCDbac9kgroundisnotincluded.&s&o fftiY-Sample#Tofev9entsΉffti3Ldataw459
                    487: 􍍑!mtSaHWt!Ƽ7+8jets~25.88T0.39!BtSaHWt!Ƽe8+jets~4.35T0.16!1^tSaHWt!Ƽ8+jets~3.43T0.14)1dtSaHWt!Ƽl4q+8l~2.80T0.06
                    488: W&Hbb8+jetsƾ!Tl&9+bb+jets~3.92T0.17ѼW&Hcc8+jetsƾ!Tl&9+cc+jets~3.26T0.15W&HjjI+8jetsƾ!Tl&9+jjI+jets~4.08T0.11"Zbb8+jetsƾ!T&7+bb+jets~0.74T0.07Zcc8+jetsƾ!T&7+cc+jets~0.41T0.03xFZjjI+8jetsƾ!T&7+jjI+jets~0.80T0.10gZbb8+jetsƾ!Tee+bb+jets~0.00T0.00۝Zcc8+jetsƾ!Tee+cc+jets~0.01T0.01EǼZjjI+8jetsƾ!Tee+jjI+jets~0.01T0.01Zbb8+jetsƾ!T+bb+jets~0.04T0.02ּZcc8+jetsƾ!T+cc+jets~0.01T0.01ZjjI+8jetsƾ!T+jjI+jets~0.00T0.00ۼZbb8+jetsƾ!Tq+bb+jets~0.12T0.04Zcc8+jetsƾ!Tq+cc+jets~0.19T0.04n;ZjjI+8jetsƾ!Tq+jjI+jets~0.06T0.01ffti~xT:ABLEXV:Finaln9umbAerofev9entsineac9hchannelfortaustypAe3߹Afterb-tagging,IDandtriggerinthesignal
                    489: sampleTwhentheassumedcrosssectionis7.46pb.pAnestimateofQCDbac9kgroundisnotincluded.&P2&E19S
                    490: ~:p ffgY-Sample-#Tofev9entsΉffg3Ldataw2494
                    491: 􍍑!mtSaHWt!Ƽ7+8jets~33.57T0.34!BtSaHWt!Ƽe8+jets~15.67T0.23!1^tSaHWt!Ƽ8+jets4}2.30T0.09)1dtSaHWt!Ƽl4q+8l4}2.69T0.04
                    492: W&Hbb8+jetsƾ!Tl&9+bb+jets4}9.29T0.27ѼW&Hcc8+jetsƾ!Tl&9+cc+jets~31.63T0.90W&HjjI+8jetsƾ!Tl&9+jjI+jets~169.95T2.68"Zbb8+jetsƾ!T&7+bb+jets4}1.30T0.11Zcc8+jetsƾ!T&7+cc+jets4}3.15T0.20xFZjjI+8jetsƾ!T&7+jjI+jets~16.86T1.14gZbb8+jetsƾ!Tee+bb+jets4}0.02T0.01۝Zcc8+jetsƾ!Tee+cc+jets4}0.00T0.00EǼZjjI+8jetsƾ!Tee+jjI+jets4}0.74T0.33Zbb8+jetsƾ!T+bb+jets4}0.08T0.02ּZcc8+jetsƾ!T+cc+jets4}0.07T0.03ZjjI+8jetsƾ!T+jjI+jets4}0.38T0.22ۼZbb8+jetsƾ!Tq+bb+jets4}0.10T0.03Zcc8+jetsƾ!Tq+cc+jets4}0.00T0.00n;ZjjI+8jetsƾ!Tq+jjI+jets4}1.36T0.49ffg~xT:ABLETXVI:b-v9etodatasetcompAositionfortypAes1and2Swhentheassumedcrosssectionis7.46pb.&q~:p ffgY-Sample-#Tofev9entsΉffg3Ldataw3688
                    493: 􍍑!mtSaHWt!Ƽ7+8jets~19.85T0.27!BtSaHWt!Ƽe8+jets4}3.53T0.13!1^tSaHWt!Ƽ8+jets4}2.80T0.10)1dtSaHWt!Ƽl4q+8l4}1.81T0.03
                    494: W&Hbb8+jetsƾ!Tl&9+bb+jets4}5.26T0.19ѼW&Hcc8+jetsƾ!Tl&9+cc+jets~22.43T0.80W&HjjI+8jetsƾ!Tl&9+jjI+jets~126.41T2.60"Zbb8+jetsƾ!T&7+bb+jets4}0.92T0.09Zcc8+jetsƾ!T&7+cc+jets4}2.86T0.20xFZjjI+8jetsƾ!T&7+jjI+jets~14.53T1.15gZbb8+jetsƾ!Tee+bb+jets4}0.00T0.00۝Zcc8+jetsƾ!Tee+cc+jets4}0.08T0.04EǼZjjI+8jetsƾ!Tee+jjI+jets4}0.31T0.18Zbb8+jetsƾ!T+bb+jets4}0.04T0.02ּZcc8+jetsƾ!T+cc+jets4}0.05T0.02ZjjI+8jetsƾ!T+jjI+jets4}0.05T0.04ۼZbb8+jetsƾ!Tq+bb+jets4}0.16T0.05Zcc8+jetsƾ!Tq+cc+jets4}0.83T0.15n;ZjjI+8jetsƾ!Tq+jjI+jets4}2.31T0.46ffg~x#JT:ABLETXVIAI:b-v9etodatasetcompositionfort9ype3Swhentheassumedcrosssectionis7.46pb.&fb2&E20S
                    495: ~:&o fftiY-Sample#Tofev9entsΉffti3Ldatax1217
                    496: 􍍑!mtSaHWt!Ƽ7+8jets~32.94T0.48!BtSaHWt!Ƽe8+jets~17.02T0.34!1^tSaHWt!Ƽ8+jets~14.37T0.32)1dtSaHWt!Ƽl4q+8l~2.43T0.06
                    497: W&Hbb8+jetsƾ!Tl&9+bb+jets~6.33T0.23ѼW&Hcc8+jetsƾ!Tl&9+cc+jets~4.63T0.19W&HjjI+8jetsƾ!Tl&9+jjI+jets~11.34T0.26"Zbb8+jetsƾ!T&7+bb+jets~0.50T0.06Zcc8+jetsƾ!T&7+cc+jets~0.58T0.06xFZjjI+8jetsƾ!T&7+jjI+jets~1.10T0.13gZbb8+jetsƾ!Tee+bb+jets~0.01T0.01۝Zcc8+jetsƾ!Tee+cc+jets~0.01T0.01EǼZjjI+8jetsƾ!Tee+jjI+jets~0.00T0.00Zbb8+jetsƾ!T+bb+jets~0.03T0.01ּZcc8+jetsƾ!T+cc+jets~0.04T0.01ZjjI+8jetsƾ!T+jjI+jets~0.02T0.01ۼZbb8+jetsƾ!Tq+bb+jets~1.07T0.17Zcc8+jetsƾ!Tq+cc+jets~0.57T0.10n;ZjjI+8jetsƾ!Tq+jjI+jets~0.36T0.04ffti~x       T:ABLETXVIAII:loose-tigh9tdatasetcompositionfort9ypes1and2Swhentheassumedcrosssectionis7.46pb.&q~:&o fftiY-Sample#Tofev9entsΉffti3Ldatax4733
                    498: 􍍑!mtSaHWt!Ƽ7+8jets~51.16T0.57!BtSaHWt!Ƽe8+jets~40.02T0.50!1^tSaHWt!Ƽ8+jets~48.00T0.56)1dtSaHWt!Ƽl4q+8l~2.16T0.05
                    499: W&Hbb8+jetsƾ!Tl&9+bb+jets~8.95T0.27ѼW&Hcc8+jetsƾ!Tl&9+cc+jets~7.80T0.23W&HjjI+8jetsƾ!Tl&9+jjI+jets~16.32T0.30"Zbb8+jetsƾ!T&7+bb+jets~0.52T0.05Zcc8+jetsƾ!T&7+cc+jets~0.46T0.04xFZjjI+8jetsƾ!T&7+jjI+jets~1.16T0.12gZbb8+jetsƾ!Tee+bb+jets~0.00T0.00۝Zcc8+jetsƾ!Tee+cc+jets~0.00T0.00EǼZjjI+8jetsƾ!Tee+jjI+jets~0.01T0.01Zbb8+jetsƾ!T+bb+jets~0.06T0.01ּZcc8+jetsƾ!T+cc+jets~0.07T0.01ZjjI+8jetsƾ!T+jjI+jets~0.11T0.02ۼZbb8+jetsƾ!Tq+bb+jets~2.49T0.24Zcc8+jetsƾ!Tq+cc+jets~1.90T0.14n;ZjjI+8jetsƾ!Tq+jjI+jets~1.28T0.08ffti~x>T:ABLETXIX:loAose-tigh9tdatasetcompositionfort9ype3Swhentheassumedcrosssectionis7.46pb.&vf2&E21jz\VIKII.ÄNEURALNETWCORKANALYSIS366A.
                    500: ^VariablesforNNtraining367F*ollowingmthesameproGcedureasinthepreviousanalysis,5wedeterminethecontentofsignalandbackground368in&thepreselectedsample,-increasesignal/backgroundrateandfromthis,measurethecross-section.wThe369proGcedureadoptedinthep17analysiswasfeedasetoftopologicalvqariablesintoanarticialneuralnetwork370inordertoprovidethebGestpossibleseparationbetweensignalandbackground.Asbefore,thecriteriafor371choGosing!Xsuchvqariableswere:      pGowerofdiscriminationand&!Dz-uncorrelatedvqariables.Thesetispresented372bGelow:373릍H&T -UUthescalarsumofalljet'sp&T(hereandbGelowincludingwleptoncandidates).374D6&
E&T]IF
C
                    501: 
                    502: cmbxti10Isignici>anceM-AsbGeingthevqariablethatprovidesthebestsignal-backgroundseparationwe375decidedUUtooptimizeit.376IAplanarityb"[35
                    503: ]UU-thenormalizedmomentumtensorisdenedas377֍ױvM="ԍKPop^o;Zir}p^o;ZjK^fe#Z񍍑&YPAo^j[q!Bɵp^o
                    504: j&((5)&S-where'!#ٍ&p^0ٲisthemomentum-vectorofareconstructedob8jectoandiandjVparecartesiancoGordinates.378F*romVthediagonalizationofMwendthreeeigenvqalues&1C&2&3withVtheconstraint&1+;|&2+&3C=3791.:TheIaplanarityA7isgivenbyA=|3|&&fes2       "&3andmeasuresthe
atnessofanevent.:Hence,itisdened380intherange0v̸M0:5.LargevqaluesofAcorrespGondtomoresphericalevents,liket'#&bt[3eventsfor381instance,sincedtheyaretypicalofdecaysofheavyob8jects.GwOntheotherhand,bGothQCDDandW+&;jets382eventsUUaremoreplanarsincejetsintheseeventsUUareprimarilyduetoinitialstateradiation.383ISphericity[35
                    505: ]2-bGeingdenedasS.=e3e&&fes2
                    506: *(&2&;+ȵ&3|s),andhavingarange0ܸSD1:0,sphericity2isa384measurerofthesummedp^2v?
                    507: 2ܲwithrespGecttotheeventraxis.XInthissensea2-jetseventrcorrespondsto385Sv|i
                    508: 0andanisotropiceventSi
                    509: 1.It'#&btReventsareveryisotropicastheyaretypicalofthedecaysof386heavyob8jectsandbGothQCDandWi+Ujets+eventsarelessisotropicduetothefactthatjetsinthese387eventsUUcomeprimarilyfrominitialstateradiation.388@jITopandWaPImasslikelihoi>od-a^2|s-likevqariable.gL@`텍mM&3j#m&tmŭfemʟ&t/`5ݱ2=+:`텍/QM&2j#M&&mW/Qŭfe$gx̴&&mW0`6ݱ2;?S,where389m&tV;&M&W       ;&t;&W
3MarehtopandW5masses(172.4GeVand81.02GeVrespGectively)andresolutionvqal-390ues(19.4GeVand8.28GeVrespGectively).#M&3jNandM&2jareinvqariantmassescompGosedofthejet391combinations.qW*eUUchoGosecombinationthatminimizesL.392ICentri>ality,UUdenedasH&&mT&7feWQH&&mEha,whereH&E
                    510: ²issumofenergiesofthejets.393cos&c(G)-Theanglebetweenthebeamaxisandthehighest-p&T     Ijetintherestframeofallthejetsin394theUUevent.395s0p#&s0fe㏟Ѝ(&㐵s)UU-TheinvqariantUUmassofalljetsand&!Dzsintheevent.396릍
                    511: ThechosenvqariablesareintheendaconsequenceofthemethoGdemployedinthisanalysis:useevents397frommtheQCD-enrichedloGose-tightsampletomoGdelQCDmeventsinthesignal-richsample,t
anduseab-tag398vetoUUsampleasanindepGendentcontrolsampletocheckthevqalidityofsuchbackgroundmoGdeling.399!)<B.
                    512: ^TopKologicalNN400
                    513: F*ortrainingtheNeuralNetworkweusedtheMultilayerPerceptronalgorithm,&asdescribGedin[38
                    514: ].As401explainedbGeforeinSectionVII,therst1400000eventsinthe\loose-tight"samplewereusedasbackground402forhNN\trainingfortaustypGes1and2,andtherst600000ofthesamesampleforNNtrainingfortypGe3403taus.ThisameansthatdierenttautypGesarebeingtreatedseparatelyinthetopologicalNN.Inbothcases404&k2&E22j1/3foftheAlpgensampleoft'#&btO!ݵ\+jetswasusedforNN5trainingand2/3ofitforthemeasurement.405Whendoingthemeasurementlateron(SectionX)wepickthetauwiththehighestN&N(&!Dz)inthesignal406sample|asthetaucadidateatsametimethattausintheloGose-tightsamplearepickedatrandomsinceall407ofthemareregardedasfaketausbybGeingbelowthecutN&N(&!Dz)=0.7.HBydoingthisweexpGecttoavoid408anybiaswhenselectingrealtausforthemeasurement.VFigures3and4showtheeectofeachofthechosen409theUUtopGologicaleventUUNNinputvqariablesonthenaloutput.410
                    515: FiguresP5and6showtheNNDoutputasaresultofthetrainingdescribGedabove.ItPisevidentfromboth411picturesUUthathighvqaluesofNNcorrespGondtothesignal-enrichedregion.4125@#MSPSfile="plots/SetI_NNout_SM_type2_tauQCD.eps" llx=0 lly=0 urx=567 ury=384 rwi=3402 FIG.3:
T:rainingoftopAologicalNeuralNet9workoutputfort9ype1and2c9hannel._Upperleft:
relativ9eimpactof
                    516: eac9hoftheinputv|rariables;uppAerright: topAologicalstructure;lowerright: nalsignal-backgroundseparationofthemethoAd;Tlo9werleft:pconvergencecurves.&2&E23GD/@#MSPSfile="plots/SetI_NNout_SM_type3_tauQCD.eps" llx=0 lly=0 urx=567 ury=384 rwi=3402 FIG.N4:&T:rainingoftopAologicalNeuralNet9workNoutputfort9ype3Vc9hannel.ȁUpperleft:&relativ9eimpactofeachof
                    517: the@inputv|rariables;uppAerrigh9t:ftopologicalstructure;lo9wer@right:fnalsignal-backgroundseparationofthemethoAd;lo9werTleft:pconvergencecurves.=\RPSfile="CONTROLPLOTS/Std_TypeI_II/nnout.eps" llx=0 lly=0 urx=567 ury=413 rwi=2835 RǷFIG.T5:pThetopAologicalNeuralNet9workToutputfort9ype1and2Sc9hannel&g2&E24G=\QPSfile="CONTROLPLOTS/Std_TypeIII/nnout.eps" llx=0 lly=0 urx=567 ury=413 rwi=2835 _FIG.T6:pThetopAologicalNeuralNet9workToutputfort9ype3Sc9hannel돺C.
                    518: ^NNoptimization413
                    519: OneLdierencebGetweenLthispresentanalysisandthepreviousp17isthatwepGerformedaNN,optimization414alongWwitha6& E&T
                    520: signicanceoptimization.y~Previouslyacutof>3.0wasappliedto6E&T
                    521: signicanceat415the
                    522: preselectionstageandthenitwasincludedasoneofthevqariablesforNNtraining.Thistimeaswe416chose]tooptimizeit,_sinceitisstillagoGod]vqariabletoprovidesignal-backgrounddiscrimination(Figure7).417It`isimpGortanttostressoutthataftertheoptimizationwepGerformedtheanalysiswiththeoptimized6/E&T418signicancecutappliedwhendoingbGoth.andbID(SectionVII),qthereforeafterthepreselectionwhereno4196qȵE&T        signicance>cutwasapplied.jMW*ethenwentbackanpreproGcessed(preselected)allMC>sampleswiththe420optimized_cut.Bothresults,!with6`,E&T
                    523: 1signicanceappliedduringandafterpreselectiowereidentical.W*e421then
                    524: chosetopresentthisanalyiswiththiscutappliedatthepreselectionlevelinordertohaveaconsistent422cutUU
owthroughouttheanalysis(SectionVI).423Ͷፍ\CPSfile="plots/metl_allEW.eps" llx=0 lly=0 urx=567 ury=381 rwi=2835 iFIG.T7:p6|rE&T:signicancedistributionforsignalandbac9kgrounds.&[2&E25j
                    525: BelowUUwedescribGehowwesplitthispartoftheanalysisintotwoparts:424w
81.Set&optimization:W*e'|appliedanarbitrarycuton6E&T
                    526: t2signicanceof4.0andvqariedthesetof425vqariblesUUgoingintoNNtraining426|r
82.6qȵE&T
                    527: signicanceVoptimization:lAfterKchosingthebGestsetbasedonthelowestRMS,wethenvqaried427theUU6qȵE&T     signicancecut428w
                    528: F*orqvthispartoftheanalysiswepresentthesetsofvqariablesthatweretakenintoaccounttopGerformthe429NNUUtraning430x䍍ISet$I²:UUH&TL,aplan(aplanarity),sqrts(pUWfe3荵s
W)431ISet$II²:UUH&TL,aplan,cent(centrality)432ISet$III²:UUH&TL,aplan,spher(spherecity)433ISet$IV2":UUH&TL,cent,spher434ISet$V2":UUaplan,cent,spher435ISet$VI²:UUH&TL,aplan,sqrts,spher436ISet$VII²:UUH&TL,aplan,sqrts,cent437ISet$VIII²:UUH&TL,aplan,sqrts,costhetastar(cos(G^&)438ISet$IX²:UUH&TL,aplan,sqrts,cent,spher439ISet$X²:UUH&TL,aplan,sqrts,cent,costhetastar440ISet$XI²:UUH&TL,aplan,sqrts,spher,costhetastar441ISet$XII²:UUmetl,H&TL,aplan,sqrts442ISet$XIII²:UUmetl,H&TL,aplan,cent443ISet$XIV2":UUmetl,H&TL,aplan,spher444ISet$XV2":UUmetl,H&TL,cent,spher445ISet$XVI²:UUmetl,H&TL,aplan446ISet$XVII²:UUmetl,H&TL,sqrts447ISet$XVIII²:UUmetl,aplan,sqrts448ISet$XIX²:UUmetl,H&TL,cent449ISet$XX²:UUmetl,H&TL,aplan,sqrts,cent450ISet$XXI²:UUmetl,H&TL,aplan,cent,spher451ISet$XXII²:UUmetl,H&TL,aplan,sqrts,spher452ISet$XXIII²:UUmetl,H&TL,aplan,sqrts,costhetastar453ISet$XXIV2":UUmetl,sqrts,cent,spher,costhetastar454ISet$XXV2":UUmetl,H&TL,cent,spher,costhetastar455ISet$XXVI²:UUmetl,aplan,cent,spher,costhetastar456ISet$XXVII²:UUmetl,H&TL,aplan,cent,costhetastar457ISet$XXVIII²:UUH&TL,aplan,topmassl458ISet$XXIX²:UUH&TL,aplan,sqrts,topmassl459&2&E26jISet$XXX²:UUH&TL,aplan,sqrts,cent,topmassl460ISet$XXXI²:UUH&TL,aplan,sqrts,costhetastar,topmassl461ISet$XXXII²:UUmetl,H&TL,topmassl,aplan,sqrts462ISet$XXXIII²:UUmetl,spher,costhetastar,aplan,cent463
                    529: TheUUcriteriausedformakingadecisiononwhichvqariableshouldbGeusedfollow:464Nomorethan5vqariablestokeepNNsimpleandstable.ZMorevariablesleadstoinstabilities(dierent465resultUUaftereachretraining)andrequirelargertrainingsamples.466W*eUUdonotwantUUtousehighlycorrelatedvqariablesinsameNN.467W*eUUwanttousevqariableswithhighdiscriminatingpGower.468
                    530: InordertomakethedecisionabGoutwhichofthese11choicesistheoptimalwecreatedanensembleof46920000)pseudo-datasetseachcontainingeventsrandomly(accordingtoaPoissondistribution)pickedfrom470QCD,5EWandt'#&btHtemplates.JgEachofthesedatasetswastreatedlikerealdata,meaningapplyingallthecuts471andMdoingtheshapGetofeventMtopologicalNN.QCD&templatesfortweremadefromthesame\loose-tight472?Esample"~fromwhichtheQCDocompGonentofthe\data"wasdrawn._*Thegureofmeritchosenisgivenby473EquationUU6bGelow:474C܍|µfڧ=<$K(N&fit
A8N&tr7ue)Kwfe?)        (֍ѵN&tr7ue&((6)whereN&fitƲisthenumbGeroft'#&btKvpairsgivenbythetandN&tr7ueisthenumbGeroft'#&btKvpairsfromthePoisson475distribution._PInbGothSetand6E&T 9signicanceoptimization,NthelowestRMSnwasusedtocaracterizewhich476congurationUUisthebGestineachcase.477
                    531: TheAplotsshowingresultsconcerningthesetoptimizationsarefoundinAppGendixEandaresummarized478inT*ableXXbGelow,$whereeachRMSandmeanareshown.5HF*orNNtrainingisstandardtochoGosethenumbGer479ofhiddennoGdesasbeingtwicethenumbGerthenumbGerofvqariablesusedforthetraining.aTheparenthesis480afterUUeachsetIDshowthenumbGerofhiddennodesinNNtraining.481
                    532: F*romaTableXXweseethatSetIahasthelowestRMS,thuswechoseitasthesettobGeusedin6&1kE&T482signicanceoptimizationpart,whoseresultsareshowninAppGendixFandthensummarizedinT*ableXXI483bGelow484
                    533: CombinedresultsfromT*ablesXXandXXIshowthatthebGestcongurationfoundwasSetIwith6qȵE&T    Osig-485nicance4.0.W=Therefore,thiswasthecongurationusedtopGerformthecross-sectionmeasurement.Figure4868UUshowsthevqariationoftheRMSasfunctionofthe6qȵE&T       signicanceweapplied.487Yލy
CPSfile="plots/METsig-RMS.eps" llx=0 lly=0 urx=567 ury=439 rwi=2268 lFIG.T8:pPlotofRMSasafunctionthe6|rE&T:signicanceapplied&ޠ2&E27&6*卍DsKff7Y&h
                    534: ff٘SetTofv|rariables
                    535: ffG.RMS}&h
                    536: fff<2meanq&h
                    537: ffΉff7ffff7&h
                    538: ff9٘Set1(6)
                    539: ffD0.1642&h
                    540: ffd.k0.0265&h
                    541: ffff7&h
                    542: ff9٘Set2(6)
                    543: ffD0.1840&h
                    544: ffd.k0.0054&h
                    545: ffff7&h
                    546: ff9٘Set3(6)
                    547: ffD0.1923&h
                    548: ffd.k0.0060&h
                    549: ffff7&h
                    550: ff9٘Set4(6)
                    551: ffD0.1978&h
                    552: ffd.k0.0175&h
                    553: ffff7&h
                    554: ff9٘Set5(6)
                    555: ffD0.2385&h
                    556: ffd.k0.0022&h
                    557: ffff7&h
                    558: ff9٘Set6(8)
                    559: ffD0.1687&h
                    560: ffd.k0.0115&h
                    561: ffff7&h
                    562: ff9٘Set7(8)
                    563: ffD0.1667&h
                    564: ffd.k0.0134&h
                    565: ffff7&h
                    566: ff骟٘Set8(10)
                    567: ffD0.1668&h
                    568: ffd.k0.0162&h
                    569: ffff7&h
                    570: ff骟٘Set9(10)
                    571: ffD0.1721&h
                    572: ffd.k0.0102&h
                    573: ffff7&h
                    574: ff
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                    576: ffd.k0.0210&h
                    577: ffff7&h
                    578: fff٘Se11(10)
                    579: ffD0.1716&h
                    580: ffd.k0.0180&h
                    581: ffff7&h
                    582: ff骟٘Set12(8)
                    583: ffD0.1662&h
                    584: ffd.k0.0039&h
                    585: ffff7&h
                    586: ff骟٘Set13(8)
                    587: ffD0.1819&h
                    588: ffd.k0.0018&h
                    589: ffff7&h
                    590: ff骟٘Set14(8)
                    591: ffD0.1879&h
                    592: ffd.k0.0019&h
                    593: ffff7&h
                    594: ff骟٘Set15(8)
                    595: ffD0.1884&h
                    596: ffb-0.0004&h
                    597: ffff7&h
                    598: ff骟٘Set16(6)
                    599: ffD0.1912&h
                    600: ffd.k0.0034&h
                    601: ffff7&h
                    602: ff骟٘Set17(6)
                    603: ffD0.1768&h
                    604: ffd.k0.0074&h
                    605: ffff7&h
                    606: ff骟٘Set18(6)
                    607: ffD0.2216&h
                    608: ffb-0.0030&h
                    609: ffff7&h
                    610: ff骟٘Set19(6)
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                    612: ffd.k0.0015&h
                    613: ffff7&h
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                    616: ffd.k0.0262&h
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                    620: ffd.k0.0010&h
                    621: ffff7&h
                    622: ff
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                    624: ffd.k0.0086&h
                    625: ffff7&h
                    626: ff
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                    627: ffD0.1683&h
                    628: ffd.k0.0132&h
                    629: ffff7&h
                    630: ff
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                    631: ffD0.2053&h
                    632: ffd.k0.0122&h
                    633: ffff7&h
                    634: ff
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                    635: ffD0.1906&h
                    636: ffd.k0.0038&h
                    637: ffff7&h
                    638: ff
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                    639: ffD0.2130&h
                    640: ffd.k0.0028&h
                    641: ffff7&h
                    642: ff
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                    643: ffD0.1859&h
                    644: ffd.k0.0004&h
                    645: ffff7&h
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                    647: ffD0.1910&h
                    648: ffb-0.0022&h
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                    651: ffD0.1587&h
                    652: ffd.k0.0214&h
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                    656: ffd.k0.0148&h
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                    659: ffD0.1543&h
                    660: ffd.k0.0203&h
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                    668: ffd.k0.0081&h
                    669: ffff7ȳT:ABLE+XX:Resultsforsetoptimizationpartwhit6|rE&Tȹsignicance>4.0appliedtoallsets.ΟThen9umbAer+inparen9thesis
                    670: refersTton9umbAerTofhiddennodesineac9hcase.鍟kщff"Y&h
                    671: ff٘SetTofv|rariables
                    672: ffD6|rE&T:signicanceTcut&h
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                    674: ffmean
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                    675: ffΉff"ffff"&h
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                    693: ff0.1511&h
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                    697: ffe+5.0"&h
                    698: ff0.1552&h
                    699: ff0.0205&h
                    700: ffff"0T:ABLEΩXXI:Resultsfor6UE&T       signicanceoptimizationpartwhenv|raryingthe6E&T    signicancecutThen9umbAerΩin
                    701: paren9thesisTreferstonumbAerofhiddennodesineac9hcase.&2&E286f\CPSfile="plots/gaus_ttbar.eps" llx=0 lly=0 urx=567 ury=380 rwi=2835 79FIG.T9:pDistributionoftheoutput\measuremen9t"foranensemblewith116.9tVۍ &%tzevents.v፟\APSfile="plots/pull1-40.eps" llx=0 lly=0 urx=567 ury=381 rwi=2835 sXFIG.T10:pTheensem9bletest'spull.
                    702: InlordertochecklthevqalidityofouremsembletestsproGcedure,&itisinstructivetoplotbGoththedistribution488ofUUthepredictednumbGerUUoft'#&btDzandwhatiscalled\pull",denedinEquation7below:489C܍5p=<$K(N&fit
A8N&tr7ue)Kwfe?)       (֍)˵&fit&((7)>]whereUU&fit^istheerroronthenumbGerUUoft'#&btDzpairsgivenbythet.490
                    703: FiguresUU9and10showbGothbeforementioneddistributions.491
                    704: F*rom}Figure9weseeagoGod}agreementbGetweenthenumbGeroft'#&btBpairsinitiallysetintheensembleand492the  measuredvqalue.AndFigure10showsanicegaussiancurve,vthatindicatesagoGod   behaviour  ofthet493uncertaintiesUUintheensembles.494&%2&E29jIX.>+TOPOLOGICALVARIABLES495
                    705: InԚthissectionweshowplotsofthetopGologicalvqariablesusedinthisanalysisinordertocheckthe496agreementjbGetweendataandMonteCarloinallcases.Plotsareseparatedintwokinds:!signalsampleand497b-vetoUUcontrolplots.498!C%A.
                    706: ^Signalsampleplots499
                    707: AsstatedinSectionVIGIthesignalsampleistheoneweusedtoperformthemeasurement.]>Thecutshere500consistuofN&N(&!Dz)
>0:90ufortaustypGes1and2,}
N&N()
>0:95ufortaustypGe3,}
andatleastoneNNub-tag.501This#GsamplecontainsagoGod#Gamountoft'#&bt(19.7%fortypGes1and2and8.6%fortypGe3)asshowninT*ables502XIV^andXV.NextweshowtheplotsofthetopGologicalvqariablesforthissample.Theerrorbarsrepresent503theUUstatisticaluncertaintiesonly*.504㵍'RPSfile="CONTROLPLOTS/Std_TypeI_II/aplan.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 kNOPSfile="CONTROLPLOTS/Std_TypeI_II/ht.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 'QPSfile="CONTROLPLOTS/Std_TypeI_II/cent.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 kNRPSfile="CONTROLPLOTS/Std_TypeI_II/spher.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 FIG.:'11:ThetopAologicalv|rariablesinthesignalsample(B&t9ypes1and2).aTheKolmogoro9v-Smirnov:'(KS)9probabilities
                    708: areTsho9wn,indicatingthelevelofagreement.&2&E30܍ON'RPSfile="CONTROLPLOTS/Std_TypeI_II/sqrts.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 kNYPSfile="CONTROLPLOTS/Std_TypeI_II/costhetastar.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 'QPSfile="CONTROLPLOTS/Std_TypeI_II/metl.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 kNPPSfile="CONTROLPLOTS/Std_TypeI_II/met.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 FIG.:'12:ThetopAologicalv|rariablesinthesignalsample(B&t9ypes1and2).aTheKolmogoro9v-Smirnov:'(KS)9probabilities
                    709: areTsho9wn,indicatingthelevelofagreement.&Q܍ON'QPSfile="CONTROLPLOTS/Std_TypeIII/aplan.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 kNNPSfile="CONTROLPLOTS/Std_TypeIII/ht.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 'PPSfile="CONTROLPLOTS/Std_TypeIII/cent.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 kNQPSfile="CONTROLPLOTS/Std_TypeIII/spher.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 FIG.S13:ThetopAologicalv|rariablesinthesignalsample(Rt9ypes3).      pTheKolmogoro9v-SmirnovS(KS)Dprobabilitiesare
                    710: sho9wn,Tindicatingthelevelofagreement.& 2&E31܍ON'QPSfile="CONTROLPLOTS/Std_TypeIII/sqrts.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 kNXPSfile="CONTROLPLOTS/Std_TypeIII/costhetastar.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 'PPSfile="CONTROLPLOTS/Std_TypeIII/metl.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 kNOPSfile="CONTROLPLOTS/Std_TypeIII/met.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 FIG.S14:ThetopAologicalv|rariablesinthesignalsample(Rt9ypes3).    pTheKolmogoro9v-SmirnovS(KS)Dprobabilitiesare
                    711: sho9wn,Tindicatingthelevelofagreement. &"2&E32jݏB.
                    712: ^b-vCetocontrolsampleplots505
                    713: TheSb-vetosampleistheoneusedtotestourQCDSmoGdellingVII.m'AsitrequiresnoNNSb-tagsitis506QCD-dominated:Kandhasatinyamountoft'#&btֽ(1.9%fortypGes1and2and0.7%fortypGe3)asshownin507T*ablesXVIandXVIGI.)ItconsistsofanidealsampletomakesurethattheQCDmodellingworksandcan508bGeIusedinthemeasurement.mNextweshowtheplotsofthetopGologicalvqariablesforthissample.mTheerror509barsUUrepresentthestatisticaluncertaintiesonly*.510㵍'TPSfile="CONTROLPLOTS/bveto_TypeI_II/aplan.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 kNQPSfile="CONTROLPLOTS/bveto_TypeI_II/ht.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 'SPSfile="CONTROLPLOTS/bveto_TypeI_II/cent.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 kNTPSfile="CONTROLPLOTS/bveto_TypeI_II/spher.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 FIG.f]15:ThetopAologicalv|rariablesintheb-v9etocontrolsample(n\typAes1and2).TheKolmogorov-Smirnov(KS)
                    714: probabilitiesTaresho9wn,indicatinghowgoAodTtheagreementis.!&ɠ2&E33܍ON'TPSfile="CONTROLPLOTS/bveto_TypeI_II/sqrts.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 kN[PSfile="CONTROLPLOTS/bveto_TypeI_II/costhetastar.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 'SPSfile="CONTROLPLOTS/bveto_TypeI_II/metl.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 kNRPSfile="CONTROLPLOTS/bveto_TypeI_II/met.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 FIG.f]16:ThetopAologicalv|rariablesintheb-v9etocontrolsample(n\typAes1and2).TheKolmogorov-Smirnov(KS)
                    715: probabilitiesTaresho9wn,indicatinghowgoAodTtheagreementis.&Q܍ON'SPSfile="CONTROLPLOTS/bveto_TypeIII/aplan.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 kNPPSfile="CONTROLPLOTS/bveto_TypeIII/ht.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 'RPSfile="CONTROLPLOTS/bveto_TypeIII/cent.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 kNSPSfile="CONTROLPLOTS/bveto_TypeIII/spher.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 FIG.917:eThetopAologicalv|rariablesintheb-v9etocontrolsample(AtypAes3).TheKolmogorov-Smirnov(KS)9proba-
                    716: bilitiesTaresho9wn,indicatinghowgoAodTtheagreementis."&W2&E34܍ON'SPSfile="CONTROLPLOTS/bveto_TypeIII/sqrts.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 kNZPSfile="CONTROLPLOTS/bveto_TypeIII/costhetastar.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 'RPSfile="CONTROLPLOTS/bveto_TypeIII/metl.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 kNQPSfile="CONTROLPLOTS/bveto_TypeIII/met.eps" llx=0 lly=0 urx=567 ury=413 rwi=1927 FIG.918:eThetopAologicalv|rariablesintheb-v9etocontrolsample(AtypAes3).TheKolmogorov-Smirnov(KS)9proba-
                    717: bilitiesTaresho9wn,indicatinghowgoAodTtheagreementis.#2&E35j[X.&ECRCOSSSECTION511
                    718: Having#presentedthepreselectionyeldsonSectionVIwenowshowtheresultsoftheecienciesfor7ID,512b-taggingUUandtriggerforallt'#&btDzchannels513%^4şωffWY9Selection.Relativ9e(%)cCum9ulative(%)ΉffWSID-22:2080:24j:22:2080:24
                    719: yTT:rigger,84:5480:55he18:7780:22b-tagging,61:8280:55he11:6180:16ffW%#gT:ABLETXXIAI:tSaHWt!Ƽ7+8jetsnalcut
o9wfortaustypAes1and234şωffWY9Selection.Relativ9e(%)cCum9ulative(%)ΉffWSID-12:3780:21j:12:3780:21
                    720: yTT:rigger,84:7980:75he10:4980:19b-tagging,59:6380:75jd6:2680:13ffWtraT:ABLETXXIAII:tSaHWt!Ƽ7+8jetsnalcut
o9wfortaustypAe34şωffWY9Selection.Relativ9e(%)cCum9ulative(%)ΉffWSID-10:8180:20j:10:8180:20
                    721: yTT:rigger,83:4080:81jd9:0280:18b-tagging,61:3080:82jd5:5280:12ffWfMT:ABLETXXIV:tSaHWt!Ƽe8+jetsTnalcut
o9wfortaustypAes1and2B损vݍ4şωffWY9Selection.Relativ9e(%)cCum9ulative(%)ΉffWSID/2:2580:11l2:2580:11
                    722: yTT:rigger,83:6281:77jd1:8880:09b-tagging,58:2681:76jd1:1080:06ffWv7T:ABLETXXV:tSaHWt!Ƽe8+jetsTnalcut
o9wfortaustypAe3Mbvݍ4şωffWY9Selection.Relativ9e(%)cCum9ulative(%)ΉffWSID/3:3880:19l3:3880:19
                    723: yTT:rigger,84:4482:13jd2:8680:17b-tagging,61:2582:16jd1:7580:11ffWdb.T:ABLETXXVI:tSaHWt!Ƽ8+jetsTnalcut
o9wfortaustypAes1and2.vݍ4şωffWY9Selection.Relativ9e(%)cCum9ulative(%)ΉffWSID/3:8880:21l3:8880:21
                    724: yTT:rigger,82:7982:04jd3:2180:18b-tagging,58:1182:05jd1:8780:11ffWrT:ABLETXXVIAI:tSaHWt!Ƽ8+jetsTnalcut
o9wfortaustypAe3vݍ4şωffWY9Selection.Relativ9e(%)cCum9ulative(%)ΉffWSID-21:1880:37j:21:1880:37
                    725: yTT:rigger,79:5680:90he16:8580:34b-tagging,62:8380:92he10:5980:25ffWbT:ABLETXXVIAII:tSaHWt!Ƽdil&9eptonnalcut
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                    726: yTT:rigger,78:7881:08he11:6080:30b-tagging,63:6281:11jd7:3880:22ffW%#sNT:ABLETXXIX:tSaHWt!Ƽdil&9eptonnalcut
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                    727: Afterhavingcomputedallecienciesitisworthytosummarizeallofthem(in%)forthedierenttau514typGes:515+7Hd@u ff&
@]YoChannel<GHPreselection茼SID{T:riggerNb-tagΉff&
@]oFtSaHWt!Ƽ7+8jets>pn3:7080:02pG22:2080:2418:7780:22n11:6180:16
                    728: 􍍑tSaHWt!Ƽe8+jets>pn3:5480:02pG10:8080:209:0280:18ܾ5:5380:12
                    729: ütSaHWt!Ƽ8+jets>pn1:6780:01sF3:3880:192:8680:17ܾ1:7580:11tSaHWt!Ƽdil&9epton>pn1:3680:01pG21:1880:3716:8580:34n10:5980:25ff&
@]*nT:ABLETXXX:Summaryofallselectionsfortaust9ypAe1&2.9ft ff&_YoChannel<GHPreselection茼SID{T:riggerb-tagΉff&_oFtSaHWt!Ƽ7+8jets>pn3:7080:02pG12:3780:2110:4980:19n6:2680:13
                    730: 􍍑tSaHWt!Ƽe8+jets>pn3:5480:02sF2:2580:111:8880:09n1:1080:06
                    731: ütSaHWt!Ƽ8+jets>pn1:6780:01sF3:8880:213:2180:18n1:8780:11tSaHWt!Ƽdil&9epton>pn1:3680:01pG14:7380:3411:6080:30n7:3880:22ff&_vQT:ABLETXXXI:Summaryofallselectionsfortaust9ypAe3.N9
                    732: T*ableUUbGelowsummarizesthenumbGerofeventsineachchannelafternalselection.516@^T:ABLETXXXIAI:Finaln9umberTofev9entsTinthet9woTanalysisc9hannels.K?=#?>'ff&XevYT%St9ypAeTI,IIjGSt9ypAeTI,II(tted)˰St9ypAeTIII&
                    733: ӼSt9ypAeTIII(tted)Ήff&Xevdatab
                    734: U386459
                    735: 􍍑ptSaHWt!Ƽ7+8jetsO]72.04T0.5338.82T0.39O1tSaHWt!Ƽe8+jetsO]38.35T0.36o6.52T0.16MtSaHWt!Ƽ8+jetsQ\4.81T0.14o5.14T0.14StSaHWt!Ƽl4q+8lQ\6.02T0.07o4.20T0.06BtSaHWtlototalTMC$121.22T0.43&B54.68T0.20tSaHWtlototalTtted5%133.04T17.09&33.12T15.04
                    736: W&H+jetsO]17.82T0.3311.26T0.23Z+jetsQ\2.78T0.14o2.39T0.12LQCD5%232.35T17.09&412.22T15.04SignalTsignicance86.77&&y1.54S/BTratio80.52&&y0.08%?2&E37j
                    737: Thecrosssectionwasmeasuredbyminimizingthesumofthenegativelog-likelihoGodfunctionsforeach517binVofbGoththetypes1and2channelandthetypGe3channel.ThesearefunctionsusedbyMINUIT=to518pGerform9tsshowninFigs5and6inSectionVIII&B.LiButthereLwasfunctionoff&(QCD)andnowwewant519toUUuseittomeasurethecrosssection,sowemustexpressitintermsof[ٲ(t'#&btR):520L(͠;x䍑~&N&i
׵;&N&obsi)l2`og[ٲ(Ytii<$x䍑O~N;&Nr,obsi;Yiwfe=      f&ϵN:&obs;Zi!,ߵe;1~&N&i@~)&((8)!&Hwherex䍑R~mHN&i=ġhȵBqR|L(t'#&btr)&i+N&bk+Bg#ismHnumbGereventspredictedinbiniofthedataNNm
distributionandN^&obs;Zi521isbtheactualcountobservedinthatbin.RThecross-sectionisthentheminimumvqalueofeachfunction.RBut,522as2stressedoutinSectionVIGI,9wehavetotakeintoaccountbGothsignal(t'#&bt)andelectroweakcontamination523inktheloGose-tightsampleweusetomoGdelQCDkinthehighNNregionusedforthemeasurement.:The524electroweakjcompGonentissmallandthereforeitiskeptxedduringthetandsubtractedfromtheloGose-525tightgsample.SHowever,
dasdicussedbGefore,thenumbGersforsignalcontaminationare5.4%and3.0%fortaus526typGes6B1and2andtypGe3respectivelywhenweassumedat'#&btҴcrosssectionof7.46pb.glThismeansthat5.4%527(12.55events)of232.35QCDeventsfortaustypGes1and2areactuallyt'#&bt   `eventsand3.0%(12.37events)528of412.22QCDkeventsfortaustypGe3areactuallyt'#&bt      events.\E12.55and12.37eventsrepresentincreasesof5299.43%'iand37.35%onthenumbGer'iofsignalevents'ifortypes1and2andtype3respectively*.bxHowever'ithisis530note
thenalmeasurementyetsincethecross-sectionmeasurementonlymakessenseifthecross-sectionwe531measure{intheandisthesameastheonewehaveassumedtonormalizet'#&btKMC{samples.TThismeansthat532wed  hadtoiteratebackbynormalizingthesignalsamplesuntilwefoundaconvergenceofthecross-section.533T*ableUUXXIGIIsummarizestheiterationprocess.534
ǟcff&Y&h
                    738: ff٘AssumedTR(tVۍ &%teS)(pb)
                    739: ffXPsignalTcon9taminationfortypAes1&2(%)&h
                    740: ff&signalTcon9taminationfortypAe3(%)&h
                    741: ff&7measuredTR(tVۍ &%teS)(pb)&h
                    742: ffΉff&ffff&&h
                    743: ff"
٘7.46
                    744: ff5.4OF\&h
                    745: ff&E3.0Du"&h
                    746: ff&8.37#k&h
                    747: ffff&&h
                    748: ff"
٘8.37
                    749: ff6.1OF\&h
                    750: ff&E3.3Du"&h
                    751: ff&8.42#k&h
                    752: ffff&&h
                    753: ff"
٘8.42
                    754: ff6.2OF\&h
                    755: ff&E3.4Du"&h
                    756: ff&8.46#k&h
                    757: ffff&&h
                    758: ff"
٘8.46
                    759: ff6.2OF\&h
                    760: ff&E3.4Du"&h
                    761: ff&8.46#k&h
                    762: ffff&*Ǎ_T:ABLETXXXIAII:Cross-sectioniterationprocess.!N9
                    763: T*ableabGoveshowsthatwhenweassumedacross-sectionof8.46pbwemeasuredtheexactsamevqalue,535which,meansthatwehadtotakeintoaccountsignalcontaminationsof6.2%(14.40events)and3.4%(14.02536events)(fortaustypGes1and2and3respectively*.bThisrepresentsanincreaseinthenumbGerofsignalevents537ofˠ10.82%fortypGes1and2and42.33%fortypGe3.CByconsideringsucheventsaspartofthesignalt'#&btsample538weUUmeasureforthecross-sections:539յ&!Dz+jetsUUtypGes1and2crosssection:n+[ٲ(t7ferYɍtr)=8:83䍑0+1:1401:12 1(stat)䍑0+0:8900:94(syst;)80:30(lumiq)pb;I&!Dz+jetsUUtypGe3crosssection:n+[ٲ(t7ferYɍtr)=6:06䍑0+2:7702:62 1(stat)䍑0+0:9400:99(syst;)80:30(lumiq)pb;kICombinedUUcrosssection:n+[ٲ(t7ferYɍtr)=8:46䍑0+1:0601:04 1(stat)䍑0+0:9200:88(syst;)80:30(lumiq)pb:ThecorrespGondentlikelihoGodsofthesemeasurementsareshowninFigures19,20and21.IFigures22,23540andUU24showzoGomedingraphsofthesamelikelihoGodUUfunctionsdescribGedabove.541
                    764: AllUUassoGciatedsystematicsconcerningthismeasurementcanbeseeninT*ableXXXVI.542& U2&E38        %~FPSfile="plots2/type2_llhood.eps" llx=0 lly=0 urx=567 ury=381 rwi=2154 j
FIG.T19:pTheloglik9elihoAodTfunctionfortypAe1and2Schannel{ٍ~FPSfile="plots2/type3_llhood.eps" llx=0 lly=0 urx=567 ury=381 rwi=2154 vFIG.T20:pTheloglik9elihoAodTfunctionfortypAe3Schannel~HPSfile="plots2/type123_llhood.eps" llx=0 lly=0 urx=567 ury=381 rwi=2154 fFIG.T21:pTheloglik9elihoAodTfunctionforallthreetypAescombined'72&E39S%~EPSfile="plots2/xsec12_pres.eps" llx=0 lly=0 urx=567 ury=381 rwi=2154 S!FIG.T22:pZoAominoftheloglik9elihoodfunctionfort9ype1and2Sc9hannel%~DPSfile="plots2/xsec3_pres.eps" llx=0 lly=0 urx=567 ury=381 rwi=2154 `FIG.T23:pZoAominoftheloglik9elihoodfunctionfort9ype3Sc9hannel&8Ǎ~FPSfile="plots2/xsecall_pres.eps" llx=0 lly=0 urx=567 ury=381 rwi=2154 PFIG.T24:pZoAominoftheloglik9elihoodfunctionforallthreet9ypescom9bined(:!2&E40j
                    765: Aftermeasuringthecombinedcrosssectionweobservedasignicanthigherstatisticaluncertaintyvqalueif543comparedtotheoneweexpGectedtoseebasedonthefactthatwehaveapproximately5timesmoredatathan544in3rp17,:9wherethesignalcontaminationwasnottakenintoaccount(seeAppGendixG).f{F*urtherinvestigation545showedAthatthecutNNelec>0.9appliedtotaustypGe2onlywasrespGonsibleforsuchdiscrepancy*.Below546weUUshowthesamemeasurementasdoneabGovebutnowwithnoNNeleccutapplied.547
                    766: T*ableUUbGelowsummarizesthenumbGerofeventsineachchannelafternalselection.548@]/T:ABLETXXXIV:Finaln9umbAerTofev9entsTinthet9woTanalysisc9hannels.K?:@>'ff&]tYV^$St9ypAeTI,II
                    767: ESt9ypAeTI,II(tted)kSt9ypAeTIII&ѼSt9ypAeTIII(tted)Ήff&]tdatadZT583?459
                    768: 􍍑ptSaHWt!Ƽ7+8jetsQ\85.46T0.58ؿ38.82T0.39O1tSaHWt!Ƽe8+jetsO]175.23T0.856.52T0.16MtSaHWt!Ƽ8+jetsT*[8.98T0.195.14T0.14StSaHWt!Ƽl4q+8lQ\12.62T0.104.18T0.06BtSaHWtlototalTMC%"282.27T1.05&54.67T0.41tSaHWtlototalTtted#260.71T20.74&35.73T15.28
                    769: W&H+jetsQ\39.65T0.50ؿ11.26T0.25Z+jetsT*[4.56T0.102.38T0.11LQCD#278.04T20.74&B409.62T15.28SignalTsignicance\710.80&+1.67S/BTratio60.80&+0.08Z(>
                    770: T*ableUUbGelowshowstheiterationproGcessinthiscaseandandthecrosssectionmeasurementfollows:549
ǟcff&Y&h
                    771: ff٘AssumedTR(tVۍ &%teS)(pb)
                    772: ffXPsignalTcon9taminationfortypAes1&2(%)&h
                    773: ff&signalTcon9taminationfortypAe3(%)&h
                    774: ff&7measuredTR(tVۍ &%teS)(pb)&h
                    775: ffΉff&ffff&&h
                    776: ff"
٘7.46
                    777: ff6.0OF\&h
                    778: ff&E3.0Du"&h
                    779: ff&6.84#k&h
                    780: ffff&&h
                    781: ff"
٘6.84
                    782: ff5.4OF\&h
                    783: ff&E2.7Du"&h
                    784: ff&6.91#k&h
                    785: ffff&&h
                    786: ff"
٘6.91
                    787: ff5.5OF\&h
                    788: ff&E2.8Du"&h
                    789: ff&6.92#k&h
                    790: ffff&&h
                    791: ff"
٘6.92
                    792: ff5.5OF\&h
                    793: ff&E2.8Du"&h
                    794: ff&6.92#k&h
                    795: ffff&*Ǎ+T:ABLETXXXV:Cross-sectioniterationproAcess.+N9յ&!Dz+jetsUUtypGes1and2crosssection:n+[ٲ(t7ferYɍtr)=7:03䍑0+0:5400:56 1(stat)䍑0+0:6500:61(syst;)80:30(lumiq)pb;I&!Dz+jetsUUtypGe3crosssection:n+[ٲ(t7ferYɍtr)=4:36䍑0+2:6202:50 1(stat)䍑0+0:6200:61(syst;)80:30(lumiq)pb;kICombinedUUcrosssection:n+[ٲ(t7ferYɍtr)=6:92䍑0+0:5400:54 1(stat)䍑0+0:6200:60(syst;)80:30(lumiq)pb;
                    796: Aswecanseethestatisticaluncertaintydecreasesto0.54pbwhichisinagoGodagreementtowhatwe550would%gexpGectifcomparedto1.2pbmeasuredinp17.aAppendixGshowscrosssectionsmeasurementswhen551signalcontaminationisnottakenintoaccountforbGothNNelec>0.9andnoNNeleccutapplied.@Onceagain552weUUobservedadiscrepancywhenNNelecisappliedandtheexpGectedvqaluewhenNNelecisnotapplied.553)<2&E41j6tXI.ߠSYSTEMATICUNCERTAINTIES554
                    797: Severalfactorscontributetosystematicuncertaintiesinthemeasurement.?HerewedescribGesuchuncer-555tainties.556!C%کA.
                    798: ^JES557Thetjetenergyscale(JES)tzsystematicisdeterminedbyshitingthejetenergyscaleby1НinallMC558samples.559!C%!B.
                    799: ^TES560TheWtauenergyscale(TES)Wsystematicisdeterminedbyshitingthetauenergyscalebyitsuncertaintyas561givenUUin[36
                    800: ].562!C%,C.
                    801: ^JetEnergyResolutionandJetID563The͓jetenergyresolution(JER)tsystematicisdeterminedbyshitingthejetenergyresolutionby1)lin564allUUMCsamples.565!C%D.
                    802: ^Trigger566EachjneventwascorrectedbytheratiooftheactualandpredictedtriggerresultasafunctionofH&TL,owhich567wasUUusedbasedonthefactthattheagreementvqariesasfunctionofit.568!C%hE.
                    803: ^b-quarkfragmenCtation569Thisc'uncertaintyisestimatedusingthestandardproGceduredescribedin[17
                    804: ]byreweightingt'#&bteventsusing570dierentUUfragmentationfunctions.571!C%uF.
                    805: ^b-tagging572b-tagginguncertaintyeectsaretakenintoaccountbyvqaryingthesystematicandstatisticalerrorsonthe573MCUUtaggingweights.574
                    806: TheseϹerrors(whicharecomputedusingstandardDbIDϚgrouptoGols)ariseformseveralindepGendent575sourcesUU[27
                    807: ]:576B-jetUUtaggingparameterization.577C-jetUUtaggingparameterization.578LightUUjettaggingparameterization(negativetagrate).579Semi-leptonicUUb-taggingeciencyparameterizationinMCandindata(System8).580T*aggability.gThisiincludesthestatisticalerrorduetonitestatisticinthesamplesfromwhichithad581bGeenUUderivedandsystematic,re
ectingthe(neglected)taggabilitydepGendenceonthejetmultiplicity*.582*N2&E42jEG.
                    808: ^ĝIDsystematics583HereweincludesystematicsassoGciatedtotheNNrcut(NN>0.90fortaustypGes1and2andNN>0.95for584taustypGe3)appliedtoselecthadronictaus.EAsrecommendedbythe&!Dz-IDѽgroupthesesystematicsare9.5%,5853.5%+and5.0%fortaustypGe1,١2and3respectively*.IHowever+inthisanalysiswechosetreattaustypGes1586andUU2together.qThisledustocombinetheiruncertaintiesinthefollowingway587sy[s&12?=7q7feE2.ɍ:2l1S8f:&2l1+:2l2f:&2l2&((9)\wheree&1[and&2aretheIDeecienciesfortaustypGes1and2respectivelyandf&1[andf&2arethefractions588ofUUtaustypGes1(0.16)and2(0.84)respectively*.589!C%H.
                    809: ^QCDsystematics590
                    810: As7explainedinthesectionVIGII&A7weusethecontrol(b-veto)datasettovqalidateourmethoGdofmodeling591themultijetbackground.LThereforewehavetousethesamesampletoevqaluatetheassoGciateduncertainties.592Thed'wayitwasdoneisbyreweightingtopGologicaleventNNd#forQCDtemplate(\loGose-tight"&!Dz),gsothatit593matchesUUtheonefor\tight"wdataexactly(electroweakbGeckgroundsweresubtracted).594!C%NI.
                    811: ^WandZscalefactors595
                    812: W*eSapplyaascalefactorof1.47tobGothWS+bbandW+cceventsSwithanuncertaintySof15%.qCAtthe596sametimeascalesfactorsof1.52and1.67areappliedtoZ+bbandZ+ccevents,բbGothwithanuncertainty597ofUU20%.598!C%qJ.
                    813: ^Templatestatistics599
                    814: When܄wepGerformedthetemplatettodata(SectionVIII)theQCDftemplatehadlimitedstatistics(1132600events)fortaustypGes1and2and4487eventsfortaustypGe3).BW*ehavetotakethestatisticaluncertainty601inthishistogramasoneofthecrosssectionsystematics.Itwascalculatedbyvqaryingthecontentofeach602bin\oftheQCD\templateNNdistributionwithinitsuncertainty\andobservinghowthecrosssectionresult603changed.604!C%~G0K.
                    815: ^tVۍ &%tconCtaminationintheloKose-tightsample605
                    816: WhenZmeasuringthecross-sectionwehadtotakeintoaccountthesignalcontaminationintheloGose-tight606sampleweusetomoGdelQCDɢinthehighNNregion.CBThesystematicuncertaintyinthiscaseiscalculatedby607vqaryingthenalassumedcrosssectionby1[ٲ,֔re-estimatingthesignalcontaminationandnallymeasuring608theUUupanddownvqaluesofthecrosssection.609!C%L.
                    817: ^PDF610
                    818: SystematicsyonPartonDistributionF*unctions(PDF)yDareestimatedbyreweightingsignalt'#&btMCyDfrom611CTEQ6L1ŗtoCTEQ6.1manditstwentyŗerrorPDF's.ThereweightingŗofthePDF'sisdonebyusing612FcafEff&fǫpdfreweight/packqagetoGolonPythiat'#&btDMC.W*ethenassignedtherelativePDFuncertaintyobtained613withUUPythiaontheAlpgent'#&btDzMC.614+X2&E43jM.
                    819: ^LuminositCy615
                    820: HereUUwetaketheDstandardmeasureduncertaintyonluminosityof6.1%.616
                    821: T*ables6XXXVIandXXXVIGIsummarizealloftheseuncertainty6sourcesandshowshowtheresultingcross617sectionUUshifts.618OT:ABLETXXXVI:Systematicuncertain9tiesonR(tVۍ &%tW)(inpb)forNNelec>0.9.Vs,ak-3:ff&YhChannelX*&2cmmi8r+jetsXtÎyp<res1and2P<r+jetsXtÎyp<re3~ComÎbined
                    822: 
                    823: uTJauXEnergyScalegv&q+0:068;0:102&q+0:340;0:306ݟ&q+0:136;0:136;JetXEnergyScalegv&q+0:051;0:034&q+0:051;0:085ݟ&q+0:051;0:000JetXEnergyResolutiongv&q+0:102;0:051&q+0:204;0:034ݟ&q+0:119;0:052|JetXIDgv&q+0:204;0:204&q+0:153;0:153ݟ&q+0:204;0:204!b-taggv&q+0:562;0:493&q+0:493;0:426ݟ&q+0:544;0:477
ab-fragmenÎtationgv&q+0:102;0:102&q+0:068;0:068ݟ&q+0:085;0:085!QCDXMo<rdelinggv&q+0:340;0:340&q+0:221;0:221ݟ&q+0:324;0:305"6IDgv&q+0:272;0:272&q+0:306;0:306ݟ&q+0:290;0:290
pTJriggergv&q+0:256;0:256&q+0:238;0:238ݟ&q+0:256;0:256QWXScaleFJactorgv&q+0:034;0:034&q+0:034;0:034ݟ&q+0:034;0:034ZXScaleFJactorgv&q+0:072;0:072&q+0:072;0:072ݟ&q+0:048;0:048DTJemplateXstatisticsgv&q+0:156;0:156&q+0:204;0:204ݟ&q+0:168;0:168;SignalXconÎtaminationgv&q+0:153;0:153&q+0:255;0:272ݟ&q+0:188;0:170"~*PDFgv&q+0:097;0:084&q+0:188;0:198ݟ&q+0:092;0:081u&2 ùT:ABLETXXXVIAI:Systematicuncertain9tiesonR(tVۍ &%tW)(inpb)whennoNNeleccutisapplied.ak-3:ff&YhChannelXr+jetsXtÎyp<res1and2P<r+jetsXtÎyp<re3~ComÎbined
                    824: 
                    825: uTJauXEnergyScalegv&q+0:101;0:002&q+0:238;0:255ݟ&q+0:102;0:017;JetXEnergyScalegv&q+0:016;0:001&q+0:017;0:000ݟ&q+0:016;0:000JetXEnergyResolutiongv&q+0:084;0:086&q+0:017;0:034ݟ&q+0:068;0:085|JetXIDgv&q+0:169;0:169&q+0:017;0:017ݟ&q+0:153;0:153!b-taggv&q+0:424;0:375&q+0:358;0:306ݟ&q+0:425;0:375
ab-fragmenÎtationgv&q+0:069;0:069&q+0:102;0:102ݟ&q+0:068;0:068!QCDXMo<rdelinggv&q+0:271;0:273&q+0:153;0:136ݟ&q+0:225;0:256"6IDgv&q+0:220;0:220&q+0:204;0:204ݟ&q+0:221;0:221
pTJriggergv&q+0:204;0:204&q+0:170;0:170ݟ&q+0:204;0:204QWXScaleFJactorgv&q+0:034;0:034&q+0:034;0:034ݟ&q+0:034;0:034ZXScaleFJactorgv&q+0:072;0:072&q+0:072;0:072ݟ&q+0:048;0:048DTJemplateXstatisticsgv&q+0:118;0:118&q+0:170;0:170ݟ&q+0:102;0:102;SignalXconÎtaminationgv&q+0:050;0:052&q+0:136;0:187ݟ&q+0:051;0:051"~*PDFgv&q+0:097;0:084&q+0:188;0:198ݟ&q+0:092;0:081,h42&E44jp @)0  f&z&@=`[1]cJ.TA.Coarasa,J.Guasc9h,andJ.Sola,RepAortNo.UAB-FT-451,1999,hep-ph/9903212619
                    826: [2]c9j          cmti9MeasurementN<oftoppairproductioncrosssectionfromthetau+jetschannel,TDNote5158.620[3]cMeasurementN<ofR(pDZp6{!ƼtVۍ &%tWX[)in7+8jetschannelusing1fb-=1
?ofdata,TDNote5765.621[4]cCommomTSampleGroup,JߤN       cmtt9Jhttp://www-d0.fnal.gov/Run2Physics/cs/index.html622[5]cSearchN<forneutralHiggsbosonsinbƾ!ba`&bbN<usingRÎunIIbdata,TDNote5709623[6]cCommomTSampleGroup,Jhttp://www-d0.fnal.gov/Run2Physics/cs/MC/MC.html624[7]cM.L.`Manganoet/al.,\ALPGEN:ageneratorforhardm9ultipartonproAcessinhadroniccollisions",JHEPX0307,625c001T(2003);626[8]cT.`Sjostrand,rP:.Eden,C.F:ribAerg,L.Lonn9blad,G.Miu,S.MrennaandE.norbin,ComputerPh9ys.Commun.627c135,T238(2001).628[9]cJhttp://c9harm.physics.ucsb.edu/pAeople/lange/EvtGen/629[10]cS.TJadac9h,Z.W:as,R.Decker,J.H.Kuehn,Comp.Phys.Commun.,361(1993)(CERNTH-6793preprint).630[11]cJhttp://www-d0.hef.ru.nl//askArchive.php?base=agenda&categ=a081895&id=a081895s0t3/transparencies.631[12]cS.TMuanza,AN<compilationofMCFMv5.1CrossSections.TDNote5300.632[13]cSystematicsN<UncertaintiesinTJopQuarkMeasurements,TDNote6024.633[14]cJhttps://plone4.fnal.gov/P1/D0Wiki/comp/caf/MCreweighting/lumiprofile-reweighting.634[15]cH.TSc9hellman,TheN<longitudinalshapeoftheluminousregionsatDcDTNote5885.635[16]cD.TPrice,W.Fisher,andJ.Haley:,StudiesN<ofAÎlpgenparameterscorrectionsanduncertainties,TDNote5966.636[17]cY.P9eters,M.Begel,K.Hamac9her,andD.Wic9ke,ReweightingNofthefragmentationfunctionfortheDMonte637cCarlo,TDNote5325.638[18]cN.TMak9ovecandJ.F.Griv|raz,Shiting,N<smearing,andremovingsimulatedjets,TDNote4914.639[19]cSearch$FJorMSSMHiggsBosonProduction$intheDecay$hƾ!&hadDwiththeDDetectoratatqp
                    827: vqaHqr1:96+ZTJeV,…D640cNoteT5708.641[20]cDN<V;IDcertication,TDNote4773.642[21]cS.EldelmanTetN<al.(P9articleDataGroup),Phys.Lett.B592,1(2004)and2005643[22]cG.C.TBlazeyetal.,arXiv.hep-ex/0005012(2000).644[23]cG.Bernardi, E.y+BusatoandJ.R.Vliman9t,ImprovementsfromtheT42AÎlgorithmoncalorimeterobjectsrecon-645cstruction,TDNote4335.646[24]cA.THarel,JetN<IDOptimization,TDnote4919.647[25]cJetN<EnergyScaleDeterminationatDRÎunII,TDNote5382.648[26]cA.THarel,CappingN<theJESmuoncorrections,TDNote5563.649[27]cT.Gadfort,A.Haas,D.Johnston,D.Lincoln,T.ScalonandS.Sc9hlobAohmPerformanceoftheDNNҲb-tagging650cTJoolN<onp20Data,TDNote5554651[28]cM.TAnastasoaie,S.Robinson,T.Scalon,PerformanceN<oftheNNb-taggingTJoolonp17Data,TDNote5213652[29]cT.TScalonandS.Greder,MeasurementN<ofthep20FJakeRateusingBinnedFitsdoData,TDNote6046653[30]cSearchN<forSingleTJopQuarkProductionN<with1.0fb-=1    ,TDNote5285654[31]cMeasurementN<ofthettbarcrosssectioninthelepton+jetschannelwith5.3fb-=1
,TDNote6028.655[32]cDTNote5350andDNote5360656[33]cMeasurementN<ofthetVۍ &%t!Ƽal&9l4q8jetsproductionN<crosssectionusingSecondaryVJertexTagging,TDNote4830657[34]c6|rE&T       *"signicanceN<AÎlgorithminRunIIData,TDNote4254658[35]cMeasurement|ofthetop-antitopquarkpairproductioncrosssectioninproton-antiprotoncolxlisionsatqp
                    828: ΟqaHqr1:96.
                    829: TJeV659cinN<thelepton+jetsnalstate,TDNote5262660[36]cJhttp://www-d0.hef.kun.nl//fullAgenda.php?ida=a092001&fid=57.661[37]cD SearchforNeutralHiggsBosonsathightan:inthenalstate&hڪbwith4.3fb-=1
`ofRÎun2bData,D662cNoteT6077.663[38]cJhttp://sc9hwind.home.cern.ch/schwind/MLPt.html664-y2&E45jpAPPENDIXA:TRIGGEREFFICIENCIES665InthisappGendixwepresentthetriggerweightdistributionsofallMCsamplesfordierentnumbGersof666b-taggedUUjets.qThesearetheweightUUdistributionswereferredtoinSectionsIGI&AandIII.667!C%y1.
                    830: ^TriggerEcienciesfor7+8jets668RI0JPSfile="trigger_eff/taujets0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/taujets1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 l_I0JPSfile="trigger_eff/taujets2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/taujets3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 DEFIG.T25:pT:riggerEcienciesfor7+8jets./C%4:2.
                    831: ^TriggerEcienciesfore8+jets669I0HPSfile="trigger_eff/ejets0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNHPSfile="trigger_eff/ejets1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 I0HPSfile="trigger_eff/ejets2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNHPSfile="trigger_eff/ejets3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 FIG.T26:pT:riggerEcienciesfore8+jets..Ӡ2&E46jV3.
                    832: ^TriggerEcienciesfor8+jets670RI0IPSfile="trigger_eff/mujets0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNIPSfile="trigger_eff/mujets1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 l_I0IPSfile="trigger_eff/mujets2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNIPSfile="trigger_eff/mujets3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 "FIG.T27:pT:riggerEcienciesfor8+jets./C%4.
                    833: ^TriggerEcienciesfordil&9epton671I0HPSfile="trigger_eff/dilep0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNHPSfile="trigger_eff/dilep1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 I0HPSfile="trigger_eff/dilep2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNHPSfile="trigger_eff/dilep3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 _FIG.T28:pT:riggerEcienciesfordil&9epton./T2&E47j5.
                    834: ^TriggerEcienciesforal&9ljets672RI0JPSfile="trigger_eff/alljets0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/alljets1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 l_I0JPSfile="trigger_eff/alljets2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/alljets3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 pFIG.T29:pT:riggerEcienciesforal&9ljets./C%6.
                    835: ^TriggerEcienciesforW&HjjI+8jets673I0JPSfile="trigger_eff/Wjjjets0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Wjjjets1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 I0JPSfile="trigger_eff/Wjjjets2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Wjjjets3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 FIG.T30:pT:riggerEcienciesforW&HjjI+8jets.0q2&E48jao7.
                    836: ^TriggerEcienciesforW&Hbb8+jets674RI0JPSfile="trigger_eff/Wbbjets0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Wbbjets1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 l_I0JPSfile="trigger_eff/Wbbjets2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Wbbjets3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 ;FIG.T31:pT:riggerEcienciesforW&Hbb8+jets./C%W
                    837: 8.
                    838: ^TriggerEcienciesforW&Hcc8+jets675I0JPSfile="trigger_eff/Wccjets0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Wccjets1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 I0JPSfile="trigger_eff/Wccjets2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Wccjets3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 ֹFIG.T32:pT:riggerEcienciesforW&Hcc8+jets.12&E49jr^9.
                    839: ^TriggerEcienciesforZjjI+8jetsƾ!ee+jjI+jets676RI0HPSfile="trigger_eff/Zlpee0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNHPSfile="trigger_eff/Zlpee1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 l_I0HPSfile="trigger_eff/Zlpee2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNHPSfile="trigger_eff/Zlpee3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 nsFIG.T33:pT:riggerEcienciesforZjjI+8jetsƾ!ee+jjI+jets./C%p_10.
                    840: ^TriggerEcienciesforZbb8+jetsƾ!ee8+bb+jets677I0HPSfile="trigger_eff/Zbbee0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNHPSfile="trigger_eff/Zbbee1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 I0HPSfile="trigger_eff/Zbbee2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNHPSfile="trigger_eff/Zbbee3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 oFIG.T34:pT:riggerEcienciesforZbb8+jetsƾ!ee8+bb+jets.22&E50jpJ11.
                    841: ^TriggerEcienciesforZcc8+jetsƾ!ee8+cc+jets678RI0HPSfile="trigger_eff/Zccee0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNHPSfile="trigger_eff/Zccee1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 l_I0HPSfile="trigger_eff/Zccee2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNHPSfile="trigger_eff/Zccee3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 okIFIG.T35:pT:riggerEcienciesforZcc8+jetsƾ!ee8+cc+jets./C%noI12.
                    842: ^TriggerEcienciesforZjjI+8jetsƾ!+jjI+jets679I0JPSfile="trigger_eff/Zlpmumu0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Zlpmumu1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 I0JPSfile="trigger_eff/Zlpmumu2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Zlpmumu3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 mFIG.T36:pT:riggerEcienciesforZjjI+8jetsƾ!+jjI+jets.3Š2&E51jo13.
                    843: ^TriggerEcienciesforZbb8+jetsƾ!8+bb+jets680RI0JPSfile="trigger_eff/Zbbmumu0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Zbbmumu1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 l_I0JPSfile="trigger_eff/Zbbmumu2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Zbbmumu3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 n:LFIG.T37:pT:riggerEcienciesforZbb8+jetsƾ!8+bb+jets./C%o14.
                    844: ^TriggerEcienciesforZcc8+jetsƾ!8+cc+jets681I0JPSfile="trigger_eff/Zccmumu0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Zccmumu1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 I0JPSfile="trigger_eff/Zccmumu2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Zccmumu3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 n%FIG.T38:pT:riggerEcienciesforZcc8+jetsƾ!8+cc+jets.42&E52jn珺15.
                    845: ^TriggerEcienciesforZjjI+8jetsƾ!&7+jjI+jets682RI0LPSfile="trigger_eff/Zlptautau0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNLPSfile="trigger_eff/Zlptautau1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 l_I0LPSfile="trigger_eff/Zlptautau2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNLPSfile="trigger_eff/Zlptautau3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 nFIG.T39:pT:riggerEcienciesforZjjI+8jetsƾ!&7+jjI+jets./C%o/16.
                    846: ^TriggerEcienciesforZbb8+jetsƾ!&7+8bb+jets683I0LPSfile="trigger_eff/Zbbtautau0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNLPSfile="trigger_eff/Zbbtautau1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 I0LPSfile="trigger_eff/Zbbtautau2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNLPSfile="trigger_eff/Zbbtautau3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 nFIG.T40:pT:riggerEcienciesforZbb8+jetsƾ!&7+8bb+jets.5S2&E53jo}e17.
                    847: ^TriggerEcienciesforZcc8+jetsƾ!&7+8cc+jets684RI0LPSfile="trigger_eff/Zcctautau0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNLPSfile="trigger_eff/Zcctautau1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 l_I0LPSfile="trigger_eff/Zcctautau2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNLPSfile="trigger_eff/Zcctautau3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 nȹFIG.T41:pT:riggerEcienciesforZcc8+jetsƾ!&7+8cc+jets./C%n݄18.
                    848: ^TriggerEcienciesforZjjI+8jetsƾ!q+jjI+jets685I0JPSfile="trigger_eff/Zlpnunu0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Zlpnunu1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 I0JPSfile="trigger_eff/Zlpnunu2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Zlpnunu3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 mFIG.T42:pT:riggerEcienciesforZjjI+8jetsƾ!q+jjI+jets.6R2&E54jo$19.
                    849: ^TriggerEcienciesforZbb8+jetsƾ!q+8bb+jets686RI0JPSfile="trigger_eff/Zbbnunu0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Zbbnunu1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 l_I0JPSfile="trigger_eff/Zbbnunu2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Zbbnunu3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 nFIG.T43:pT:riggerEcienciesforZbb8+jetsƾ!q+8bb+jets./C%osZ20.
                    850: ^TriggerEcienciesforZcc8+jetsƾ!q+8cc+jets687I0JPSfile="trigger_eff/Zccnunu0eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Zccnunu1eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 I0JPSfile="trigger_eff/Zccnunu2eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 kNJPSfile="trigger_eff/Zccnunu3eff.eps" llx=0 lly=0 urx=567 ury=381 rwi=1587 nFIG.T44:pT:riggerEcienciesforZcc8+jetsƾ!q+8cc+jets./C%9APPENDIXB:TURNONCURVESFCORTRIGGERJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX688HereYitisshownallturn-oncurvesforallthreelevelsofthetriggerJT2ff3JT15LffIPffVXYkasYdescribGedin689SectionUUIGII.6907I2&E55j[D1.
                    851: ^LevCel1jetturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX6913CPSfile="lowLum/l1jetspt8.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 DL(a)Xp&X.T8Z>8GeVyDPSfile="lowLum/l1jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 ʿ(b)Xp&X.T8Z>15GeV&0"DPSfile="lowLum/l1jetspt30.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 &TY(c)Xp&X.T8Z>30GeV1rFIG.T45:pLev9el1jetturn-oncurves,lowluminosity:.82&E56đ3CPSfile="medLum/l1jetspt8.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 DL(a)Xp&X.T8Z>8GeVyDPSfile="medLum/l1jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 ʿ(b)Xp&X.T8Z>15GeV&0"DPSfile="medLum/l1jetspt30.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 &TY(c)Xp&X.T8Z>30GeV1yFIG.T46:pLev9el1jetturn-oncurves,mediumluminosity:.Q3DPSfile="highLum/l1jetspt8.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 DL(a)Xp&X.T8Z>8GeVyEPSfile="highLum/l1jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 ʿ(b)Xp&X.T8Z>15GeV&0"EPSfile="highLum/l1jetspt30.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 &TY(c)Xp&X.T8Z>30GeVFIG.T47:pLev9el1jetturn-oncurves,highluminosity:.9c2&E57j[D2.
                    852: ^LevCel2jetturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX6923CPSfile="lowLum/l2jetspt8.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 3(a)XLoÎwluminosityp&X.T8Z>        VE8XGeVyCPSfile="medLum/l2jetspt8.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 ˡ(b)XMediumluminositÎyp&X.T8Z> 8XGeV&0"DPSfile="highLum/l2jetspt8.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 &EF(c)XhighluminositÎyp&X.T8Z> &g8XGeV9@IPFIG.T48:pLev9el2p&Tm>8GeVjetsturn-oncurves./C%Zֺ3.
                    853: ^LevCel2H&T    hturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX693c@PSfile="lowLum/l2ht75.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 :O(a)XH&X.T8Z>75GeVkNAPSfile="lowLum/l2ht100.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 &(b)XH&X.T8Z>100GeV17dFIG.T49:pL2H&T:turn-oncurv9es,lowluminosity:.Qc@PSfile="medLum/l2ht75.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 :O(a)XH&X.T8Z>75GeVkNAPSfile="medLum/l2ht100.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 &(b)XH&X.T8Z>100GeVFIG.T50:pL2H&T:turn-oncurv9es,mediumluminosity:.:S2&E58ʀcAPSfile="highLum/l2ht75.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 :O(a)XH&X.T8Z>75GeVkNBPSfile="highLum/l2ht100.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 &(b)XH&X.T8Z>100GeV1JFIG.T51:pL2H&T:turn-oncurv9es,highluminosity:.[T4.
                    854: ^LevCel26|rE&T      hturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX694cBPSfile="lowLum/l2mhtv15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 (a)X6E&X.T>>10GeVkNBPSfile="lowLum/l2mhtv16.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 &-(b)X6E&X.T>>20GeV1AFIG.T52:pL26|rE&T:turn-oncurv9es,lowluminosity:.QcBPSfile="medLum/l2mhtv15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 (a)X6E&X.T>>10GeVkNBPSfile="medLum/l2mhtv16.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 &-(b)X6E&X.T>>20GeVFIG.T53:pL26|rE&T:turn-oncurv9es,mediumluminosity:.;͵2&E59ʀcCPSfile="highLum/l2mhtv15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 (a)X6E&X.T>>10GeVkNCPSfile="highLum/l2mhtv16.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 &-(b)X6E&X.T>>20GeV1FIG.T54:pL26|rE&T:turn-oncurv9es,highluminosity:.I{5.
                    855: ^LevCel2SphericityturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX6953APSfile="lowLum/l2spher.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 -X(a)XSphericitÎy>0.1turn-on        :}ucurvÎe,XlowluminosityyAPSfile="lowLum/l2spher.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 7(b)XSphericitÎy>0.1turn-on       curvÎe,Xmediumluminosity&0"APSfile="medLum/l2spher.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 &?(c)XSphericitÎy>0.1turn-on    &JWpcurvÎe,Xhighluminosity:9)FIG.T55:pL2Sphericit9yturn-oncurves./C%Qe]6.
                    856: ^LevCel2STTIPturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX696cGPSfile="lowLum/l2stt01taglol.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 sz(a)XL2STTIPJ,0and1tighÎt    NNXtagskNGPSfile="lowLum/l2stt23taglol.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
(b)XL2STTIPJ,2and3tighÎt   &NNXtags;N9FIG.W56:L2STTIPWeciencyinthelo9wluminosityrange.-Left:eventswith0(red)and1(black)tightNNWb-tags.
                    857: Righ9t:peventsTwith2(red)and3(blac9k)tightNNb-tags.<Ѡ2&E60WǍcDPSfile="medLum/l2stt01tag.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 sz(a)XL2STTIPJ,0and1tighÎt        NNXtagskNDPSfile="medLum/l2stt23tag.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
(b)XL2STTIPJ,2and3tighÎt      &NNXtags;N9FIG.57:*L2STTIP|eciencyinthemediumluminosit9yrange.Left:ev9entswith0(red)and1(blac9k)tightNN
                    858: b-tags.pRigh9t:eventsTwith2(red)and3(black)tightNNb-tags.WǍcHPSfile="highLum/l2stt01taghil.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 sz(a)XL2STTIPJ,0and1tighÎt  NNXtagskNHPSfile="highLum/l2stt23taghil.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
(b)XL2STTIPJ,2and3tighÎt  &NNXtags;N9FIG.,58:K L2STTIP,eciencyinthehighluminosit9yrange.bxLeft:ev9ents,with0(red)and1(blac9k)tightNN,b-tags.
                    859: Righ9t:peventsTwith2(red)and3(blac9k)tightNNb-tags.[D7.
                    860: ^LevCel3jetturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX697cDPSfile="lowLum/l3jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 j(a)Xp&X.T8Z>15GeVkNDPSfile="lowLum/l3jetspt25.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 &'(b)Xp&X.T8Z>25GeV1չFIG.T59:pL3jetturn-oncurv9es,lowluminosity:.=$2&E61đcDPSfile="medLum/l3jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 j(a)Xp&X.T8Z>15GeVkNDPSfile="medLum/l3jetspt25.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 &'(b)Xp&X.T8Z>25GeV1RFIG.T60:pL3jetturn-oncurv9es,mediumluminosity:.QcEPSfile="highLum/l3jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 j(a)Xp&X.T8Z>15GeVkNEPSfile="highLum/l3jetspt25.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 &'(b)Xp&X.T8Z>25GeVƀFIG.T61:pL3jetturn-oncurv9es,highluminosity:./C%aO8.
                    861: ^LevCel3b-tagoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX698s
*w[HPSfile="lowLum/l3btag01taglol.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 =(a)X0and1b-tags.kNHPSfile="lowLum/l3btag23taglol.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 &0(b)X2and3b-tags.2@FIG.62:*(a)EciencyoftheL3b-tag(Lev9el3Eventb-tag<0.4)forthelowluminosityrangeintriggerlistv15.BThe
                    862: selected <ev9entspassedtherestofthetriggerandoineeventselectionandhadzero(red)orone(black)oineNN(TIGHT)Tb-tags.p(b)Sameforev9entsTwith2(red)and3(blac9k)oineNN(TIGHT)b-tags.>ठ2&E627w[EPSfile="medLum/l3btag01tag.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 =(a)X0and1b-tags.kNDPSfile="medLum/l3btag2tag.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 &0(b)X2and3b-tags.2@FIG.63:(a)EciencyoftheL3b-tag(Lev9el3Eventb-tag<0.4)forthemediumluminosityrangeintriggerlistv15.
                    863: Theselectedev9entspassedtherestofthetriggerandoineev9entselectionandhadzero(red)orone(blac9k)oineNNT(TIGHT)b-tags.p(b)Sameforev9entsTwith2(red)and3(blac9k)oineNN(TIGHT)b-tags.sS7w[IPSfile="highLum/l3btag01taghil.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 =(a)X0and1b-tags.kNIPSfile="highLum/l3btag23taghil.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 &0(b)X2and3b-tags.FIG.e64:(a)EciencyoftheL3b-tag(Lev9el3Eventb-tag<0.4)forthehighluminosityrangeintriggerlistv15.Theselected <ev9entspassedtherestofthetriggerandoineeventselectionandhadzero(red)orone(black)oineNN(TIGHT)Tb-tags.p(b)Sameforev9entsTwith2(red)and3(blac9k)oineNN(TIGHT)b-tags.YwTPSfile="lowLum/l3btag01tagv16lol.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 rhi=1133 >O(a)X0and1b-tags.kNSPSfile="lowLum/l3btag2tagv16lol.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 rhi=1133 &(b)X2and3b-tags.FIG.65:*(a)EciencyoftheL3b-tag(Lev9el3Eventb-tag<0.4)forthelowluminosityrangeintriggerlistv16.BTheselected <ev9entspassedtherestofthetriggerandoineeventselectionandhadzero(red)orone(black)oineNN(TIGHT)Tb-tags.p(b)Sameforev9entsTwith2(red)and3(blac9k)oineNN(TIGHT)b-tags.?梠2&E63'OYwQPSfile="medLum/l3btag01tagv16.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 rhi=1133 >O(a)X0and1b-tags.kNPPSfile="medLum/l3btag2tagv16.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 rhi=1133 &(b)X2and3b-tags.2@FIG.66:(a)EciencyoftheL3b-tag(Lev9el3Eventb-tag<0.4)forthemediumluminosityrangeintriggerlistv16.
                    864: Theselectedev9entspassedtherestofthetriggerandoineev9entselectionandhadzero(red)orone(blac9k)oineNNT(TIGHT)b-tags.p(b)Sameforev9entsTwith2(red)and3(blac9k)oineNN(TIGHT)b-tags.&9FwUPSfile="highLum/l3btag01tagv16hil.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 rhi=1133 >O(a)X0and1b-tags.kNTPSfile="highLum/l3btag2tagv16hil.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 rhi=1133 &(b)X2and3b-tags.2@FIG.e67:(a)EciencyoftheL3b-tag(Lev9el3Eventb-tag<0.4)forthehighluminosityrangeintriggerlistv16.The
                    865: selected <ev9entspassedtherestofthetriggerandoineeventselectionandhadzero(red)orone(black)oineNN(TIGHT)Tb-tags.p(b)Sameforev9entsTwith2(red)and3(blac9k)oineNN(TIGHT)b-tags.@z2&E64jzKAPPENDIXC:DISCRIMINANTVARIABLES699ThisappGendixshowsnormalizedplotsofsignalandbackgroundsamplesforalldiscriminantvqariablestested700forUUthisanalysis.701>CPSfile="plots/metl_allEW.eps" llx=0 lly=0 urx=567 ury=381 rwi=1701 kNFPSfile="variables/aplan_all.eps" llx=0 lly=0 urx=567 ury=381 rwi=1701 sӍ>EPSfile="variables/cent_all.eps" llx=0 lly=0 urx=567 ury=381 rwi=1701 kNFPSfile="variables/sqrts_all.eps" llx=0 lly=0 urx=567 ury=381 rwi=1701 >FPSfile="variables/spher_all.eps" llx=0 lly=0 urx=567 ury=381 rwi=1701 kNCPSfile="variables/ht_all.eps" llx=0 lly=0 urx=567 ury=381 rwi=1701 >IPSfile="variables/topmassl_all.eps" llx=0 lly=0 urx=567 ury=381 rwi=1701 kNMPSfile="variables/costhetastar_all.eps" llx=0 lly=0 urx=567 ury=381 rwi=1701 @FIG.T68:pDiscriminan9tv|rariables.A2&E65jAPPENDIXD:SETOPTIMIZATION702InthisappGendixitisshownplotsofthegureofmerit(Equation6)usedtoperformtheNNvqariablesset703optimizationUUasdescribGedinSectionVIII&C.704B2&E660e؍&K`FPSfile="SetOpt/ensemble1-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 TGPSfile="SetOpt/ensemble12-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &:HGPSfile="SetOpt/ensemble13-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 i&K`GPSfile="SetOpt/ensemble14-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 TGPSfile="SetOpt/ensemble15-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &:HFPSfile="SetOpt/ensemble3-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &K`FPSfile="SetOpt/ensemble4-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 TFPSfile="SetOpt/ensemble5-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &:HFPSfile="SetOpt/ensemble7-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &K`FPSfile="SetOpt/ensemble9-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 TGPSfile="SetOpt/ensemble10-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &:HHPSfile="SetOpt/ensemble12A-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &K`HPSfile="SetOpt/ensemble13A-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 THPSfile="SetOpt/ensemble14A-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &:HHPSfile="SetOpt/ensemble15A-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &K`HPSfile="SetOpt/ensemble16A-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 THPSfile="SetOpt/ensemble17A-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &:HHPSfile="SetOpt/ensemble18A-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 >FIG.T69:pSetsofNNinputsv|rariableswith6E&T:signicance>4.0forsetoptimization.C{2&E67jlAPPENDIXE:SETOPTIMIZATIONCONTINUED705InthisappGendixitisshownplotsofthegureofmerit(Equation6)usedtoperformtheNNvqariablesset706optimizationUUasdescribGedinSectionVIII&C.707pđCw&K`HPSfile="SetOpt/ensemble19A-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 TGPSfile="SetOpt/ensemble20-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &:HGPSfile="SetOpt/ensemble21-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 i&K`GPSfile="SetOpt/ensemble22-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 TGPSfile="SetOpt/ensemble23-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &:HGPSfile="SetOpt/ensemble24-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &K`GPSfile="SetOpt/ensemble25-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 TGPSfile="SetOpt/ensemble26-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &:HGPSfile="SetOpt/ensemble27-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &K`GPSfile="SetOpt/ensemble28-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 TGPSfile="SetOpt/ensemble29-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &:HGPSfile="SetOpt/ensemble30-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &K`GPSfile="SetOpt/ensemble31-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 TGPSfile="SetOpt/ensembleMS-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &:HGPSfile="SetOpt/ensemble33-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 >FIG.T70:pSetsofNNinputsv|rariableswith6E&T:signicance>4.0forsetoptimization.D 2&E68jjAPPENDIXF:6|rE&T  hSIGNIFICANCEOPTIMIZATION708&K`GPSfile="SetOpt/ensembleMS-30.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 TGPSfile="SetOpt/ensembleMS-35.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 &:HGPSfile="SetOpt/ensembleMS-40.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 iOZGPSfile="SetOpt/ensembleMS-45.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 kNFPSfile="SetOpt/ensembleMS50.eps" llx=0 lly=0 urx=567 ury=384 rwi=1530 /9FIG.T71:pV:ariationof6|rE&T:signicancecutforSetXXXIAI=metl,H&T,topmassl,aplan,sqrts.E2&E69jAPPENDIXG:CRCOSSSECTIONMEASUREMENTSWHENSIGNALCONTAMINATIONIS709
                    866: IGNORED710InthisappGendixitisshownplotsofthegureofmerit(Equation6)usedtoperformtheNNvqariablesset711optimizationUUasdescribGedinSectionVIII&C.712!C%a1.
                    867: ^ResultsforSet=metl,H&T,topmassl,aplan,sqrts,metl>4.0,lumi=4951.86/pb,VCCjetsand713׺NNelecʼ>0.9714
                    868: T*ableUUbGelowsummarizesthenumbGerofeventsineachchannelafternalselection.715@YT:ABLETXXXVIAII:Finaln9umbAerofeventsinthetwoanalysischannels.K?=#?>'ff&XevYT%St9ypAeTI,IIjGSt9ypAeTI,II(tted)˰St9ypAeTIII&
                    869: ӼSt9ypAeTIII(tted)Ήff&Xevdatab
                    870: U386459
                    871: 􍍑ptSaHWt!Ƽ7+8jetsO]72.04T0.5338.82T0.39O1tSaHWt!Ƽe8+jetsO]38.35T0.36o6.52T0.16MtSaHWt!Ƽ8+jetsQ\4.81T0.14o5.14T0.14StSaHWt!Ƽl4q+8lQ\6.02T0.07o4.20T0.06BtSaHWtlototalTMC$121.22T0.43&B54.68T0.20tSaHWtlototalTtted5%133.04T17.09&33.12T15.04
                    872: W&H+jetsO]17.82T0.3311.26T0.23Z+jetsQ\2.78T0.14o2.39T0.12LQCD5%232.35T17.09&412.22T15.04SignalTsignicance86.77&&y1.54S/BTratio80.52&&y0.08Z(>
                    873: Without^takingintoaccountthesignalcontaminationtheresultis(onlystatisticaluncertaintiesareshown)716յ&!Dz+jetsUUtypGes1and2crosssection:[ٲ(t7ferYɍtr)=8:05䍑0+1:0401:02 1(stat)80:30(lumiq)pb;I&!Dz+jetsUUtypGe3crosssection:[ٲ(t7ferYɍtr)=4:24䍑0+1:9401:80 1(stat)80:30(lumiq)pb;kICombinedUUcrosssection:[ٲ(t7ferYɍtr)=7:26䍑0+0:9200:92 1(stat)80:30(lumiq)pb;F Ơ2&E70ja2.
                    874: ^ResultsforSet=metl,H&T,topmassl,aplan,sqrts,metl>4.0,lumi=4951.86/pb,VCCjetsand717
                    875: BYnoNNeleccut718
                    876: T*ableUUbGelowsummarizesthenumbGerofeventsineachchannelafternalselection.719@]/T:ABLETXXXIX:Finaln9umbAerTofev9entsTinthet9woTanalysisc9hannels.K?:@>'ff&]tYV^$St9ypAeTI,II
                    877: ESt9ypAeTI,II(tted)kSt9ypAeTIII&ѼSt9ypAeTIII(tted)Ήff&]tdatadZT583?459
                    878: 􍍑ptSaHWt!Ƽ7+8jetsQ\85.46T0.58ؿ38.82T0.39O1tSaHWt!Ƽe8+jetsO]175.23T0.856.52T0.16MtSaHWt!Ƽ8+jetsT*[8.98T0.195.14T0.14StSaHWt!Ƽl4q+8lQ\12.62T0.104.18T0.06BtSaHWtlototalTMC%"282.27T1.05&54.67T0.41tSaHWtlototalTtted#260.71T20.74&35.73T15.28
                    879: W&H+jetsQ\39.65T0.50ؿ11.26T0.25Z+jetsT*[4.56T0.102.38T0.11LQCD#278.04T20.74&B409.62T15.28SignalTsignicance\710.80&+1.67S/BTratio60.80&+0.08Z(>
                    880: Without^takingintoaccountthesignalcontaminationtheresultis(onlystatisticaluncertaintiesareshown)720յ&!Dz+jetsUUtypGes1and2crosssection:[ٲ(t7ferYɍtr)=6:47䍑0+0:5300:53 1(stat)80:30(lumiq)pb;I&!Dz+jetsUUtypGe3crosssection:[ٲ(t7ferYɍtr)=4:58䍑0+1:9601:85 1(stat)80:30(lumiq)pb;kICombinedUUcrosssection:[ٲ(t7ferYɍtr)=6:35䍑0+0:5100:51 1(stat)80:30(lumiq)pb;&;&GFJߤN             cmtt9IF
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                    881: 
                    882: cmbxti10F<x
                    883: 
                    884: cmtt10E':
                    885: 
                    886: cmti10?"V
                    887: 
                    888: cmbx10:#cmex79j      cmti98s6cmss8,Kcmsy8+!",
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                    890: 
                    891: cmsy10O!cmsy70ncmsy5
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                    893: 
                    894: cmmi10    0ercmmi7O
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                    895: 
                    896: cmr10ٓRcmr7Zcmr5u
                    897: 
                    898: cmex10

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