Annotation of ttbar/p20_taujets_note/ttbarnote_v1.9.dvi, revision 1.2

1.2     ! uid12904    1: &; TeX output 2011.05.18:2304&2BPSfile="plots/d0logo.eps" llx=206 lly=343 urx=406 ury=449 rwi=800 &Rt:         cmbx9D0NoteXXXXVersion1.9tdlF'Ncmbx12Measurementof)gcmmi12n9&XQcmr12(pp     :+!",
1.1       uid12904    2: cmsy10!URt$)6܍t>6X)in&+jetschannelusing5.0fb2,Kcmsy8(|{Ycmr81|ofdataW8s6cmss81Pύ2%K`y
                      3: 
1.2     ! uid12904    4: cmr10DhimanChakrabGorty(NIU),PhillipGutierrez(Oklahoma),DiegoMenezes(NIU)W2󍍒o           cmr9(Dated:pMa9yT18,2011)W3mo, This"notepresen9ts"anewmeasurementof"5"            cmmi9pDZpL         cmsy9!<tVۍ &%tWX*proAductionatؾp
        !             5:  ؉aHO|(sw==1:96T:eV"using4951.86
        !             6: "pb-=q%cmsy6Aacmr61
nof|data|collectedwiththeDdetectorbAet9ween|2002and2010.SmW:efoAcusonthenalstate"where70the71WbAosonfromoneofthetopquarksdeca9ysinto71a?/leptonanditsassoAciatedneutrino,"whiletheotherWbAosondeca9ysintoaquark-antiquarkpair.W:eaimtoselectthoseev9entsinwhich"the߼߹leptonsubsequen9tlydecayshadronically:,meaningtooneorthreec9hargedhadrons,zeroor"more7Nneutral7Mhadronsandatauneutrino.]W:euseaneuralnet9work7Nb-taggingalgorithmasw9ellas"atopAologicalneuralnet9worktoenhancesignalo9verthebac9kground.F:oratopquarkmassof172.5"GeVTthepreliminaryresultforthemeasuredcrosssectionis:wϪR(tSaHWtW)=8:46=#+1;cmmi6:068Q#1:04A(statw)=#+0:928Q#0:88(systƻ)1ľ80:3#(lumij)pb:*2&F2j+ConCtents󍍑5I."InCtroKduction&zK#4Y7IKI."Dataset&6
        !             7: s%A.,tDataTSample&pbX6բB.,tBac9kgrounds&pL7C.,tMon9teTCarloSamples&M7RD.,tMCTsamplescorrections&D9       9IKII."TriggerPCarametrization&Di9s%A.,tLev9elT1&c010բB.,tLev9elT2&c010C.,tLev9elT3&c011IV."ObvjectIdenCtication&S 12s%A.,tT:aus&F12բB.,tJets&/12C.,t#g$-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߹492&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&wk702&F4jvغI.INTRCODUCTIONW4Since׋its׊discoveryatthe׊F*ermilabTEVATRONicolliderin1995,the׊topquarkhasbGeenoneofthemostW5impGortant}KtopicsinHigh}JEnergyPhysics.Thestudy}JofitsproGductionrateandproperties}JallowsustoW6pGerform&precisiontests%ofstandardmodel(SM)predictionsaswellasrepresentsa%chanceofobservingW7pGossiblej.deviationsj-fromsuchpredictions.PAmongstallsubsequentj-topdecays,odthej-proGcess
1.1       uid12904    9: b>
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1.2     ! uid12904   13: cmsy10!׵W&cb!&!&       0ercmmi75bW8representsaoneoftheamostimpGortanttoGolsforprobingbeyond-SMaphysics. F*orainstance,theMSSM(MinimalW9SupGersymmetricStandardModel)[1&]predictstheexistenceofthedecaytH!H^ٓRcmr7+sbifm"&HkZcmr5+ҍ0ncmsy5<Hm&t
lm&bD.[As101the0Higgs-fermion0couplingispropGortionaltothelatter'smass,g_thesubsequentdecay0ofachargedHiggs11bGoson0into1aleptonismuch1morefavoredthan1itsdecays1intoe'sand1's.NeTherefore,kforhigh0vqaluesoftan12WW(the<ratio;ofthevqacuumexpGectationvqaluesofthetwoHiggs<doublets)thecharged<Higgspreferentially13decaysto&!&5,͖whichincreasesthebranchingratio(BR)qoftgn!go&!&5brelativetotheSMpprediction.dThus,14anynon-standard
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        !            14: InthisanalysiswestudytheproGcesswhentheW^&bosonfromoneofthetopquarksdecaysintoa^lepton18andwitswassoGciatedneutrino,JwhiletheotherWBbGosondecaysintowaquark-antiquarkwpair.Thezisthe19heaviestleptonanditspromptdecayintootherparticlesandtheprobabilityofbGeingfakedbyelectrons,20muonsUUandjetsmakesitsreconstructionandidenticationmuchmoredicultthanothertopdecays.21
        !            15: HeretwefoGcusonteventswheretheidecayshadronically*,|vmeaningtooneorthreechargedthadrons,|uzero22orӌmoreneutralhadronsandaӍtauneutrino.FThisimpliesthatoursignalconsistsofanalstatewithfouror23moreejets.Figures1eand2showrespGectivelyetheF*eynmandiagramthatdecribGestheproGcesst'#&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. ٠2&F5rԱ=PSfile="plots/pie.ps" llx=14 lly=14 urx=612 ury=792 rwi=2392 FIG.T2:pT:opquarkdeca9ypiechart.
        !            16: The@presentworkisthe@thirdmeasurementofthet'#&btcrosssectionin@the15+njetschannelpGerformedwith26theq!Ddetector.*Previousresults[2&,x3x]usedusingq p14RunIqandp17RunIGIaDataandaresummarizedin27T*ableUUI(onlystatisticaluncertaintiesareshown).28"Dzff<&h
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1.2     ! uid12904   28: TheUUmainimprovementsUUupGonpreviousp17analysisarelistedbelow:295UUtimesmoredata(RunIGIb1,RunIIb2andRunIIb3).30T*riggerused:"weuseanewsetofmultijettriggersthatrepresentsagaimof$10%inthenaleciency*.31UseUUofvertexconrmedjets.32T*auUUenergyscaleaddedtotheanalysis.33ImprovedUUneuralnet(NN)optimization.34NewUUsetofp20b-tagTRF's.35/32&F6j1LIKI.!=DCATASET36wA.
        !            29: ^DataSample37F*orYthisanalysisZtheframeworkusedwasvjetsffcafeZv04-00-08(Releasep21.18.00)andthedatasetconsisted38ofO3JET/skimproGducedbythecommomPsamplesgroup[4&]andrecordedbGetweenOAugust2002andMay201039(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
1.1       uid12904   30: InUUthisanalysiswechosethethreejetstriggerJT2ff3JT15LffIPffVX.49
                     31: This
1.2     ! uid12904   32: particular
        !            33: triggerwaschosen
        !            34: basedonourneedsofloGokingforevents
        !            35: withmultiple
        !            36: jetsandthefact50thatitrepresentsagainof20%eciencyonsignalselectionifcomparedtopreviousp17analysis.X:Sincethe51eciencies4 for4!suchtriggerarenotcurrentlypartofcaffftriggerpackqage,:inthisanalysiswebGenetfromthe52triggermoGdellingprovidedbythehbbgroup[5&]forthebP5!P6b\qUbJbanalysis.hT*riggerweightdistributionsfor53allcMCWsamplesusedinthedanalysisasafunctionofthenumbGercofb-taggedjetsarefoundinAppGendixA54andUUT*ableIGIsummarizestheirmeanvqalues:55x8a-ff&  Y&h
        !            37: ff-!٘ProAcess-!
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1.2     ! uid12904  159: F*orQthisQtriggerwealsomeasuredtheluminosityofourdatasample.pT*ableIGIIQshowstheresultsforbGoth56v15UUandv16triggerversions.576`2&F7Wtff&J_&h
1.1       uid12904  160: ff٘T:riggerTv9ersion]T:riggerTnameDeliv9eredTL(pb-=1    )0RecordedTL(pb-=1      )&70ReconstructedTL(pb-=1 )&h
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                    162: ff٘V15.0T-V15.99C    #JT2ffgTy3JT15LffgIPffgVXŒu1682.08&u1544.71&y?1385.99&h
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1.2     ! uid12904  168: ffff&J_&+T:ABLE{IAII:The|resultsofluminosit9ycalculationfortheRun2b3JETpdataskimfordieren9tD0triggerlistv9ersionsd!B.
1.1       uid12904  169: ^BacCkgrounds58
1.2     ! uid12904  170: InthisanalysisthelargestbackgroundsourcesareQCD(\fake&!Dz"),Iwhichisestimatedfromdataand59WG=qZ+jets,7which       are  simulatedMonte    Carlosamples.Otherbackgroundsthatwere    notincludedinthis60analysisduetotheirsmallcontributionaresingletopanddibGosonproduction.GA֬listofbackgroundssources61isUUfoundinSectionIGIIUUof[3&].qInthefollowingsectionswedescribGebothsignalandbackgroundsimulation.62!C%غC.
        !           171: ^MonCteCarloSamples63W*eBusep20AcertiedMCsamplesasproGducedbyCSGandcaedwithp21.11.00(version3)[6&].?AllWG=qZv^and64t'#&btMweregeneratedwithALPGENv2.11[7&]interfacedwithPythiav6.409[8&]forproGductionofparton-level65showersandhadronization.]EvtGen[9&]isusedtomoGdelbhadronsdecaysandT*AUOLA
        !           172: [10
        !           173: ]usedtomoGdel66tauUUleptonsdecays.67ALPGEN7isdaleadingeorder(LL)generator.5Inorderetocorrectittomatchwithnext-to-leadingorder(NLO)68crossCsectionsDweapplyE':
        !           174: 
        !           175: cmti10Ec}'orrection3>factorsCandthenprovideacorrectnormalization.NThesecorrectionfactors69were(takenfromF<x
        !           176: 
        !           177: cmtt10FvjetsEff&fǫcafeframeworkandaredescribGedin(Ref.[11
        !           178: ].Therearetwokindsofcorrection70factors:?Ek-factors,(whicharetheresultoftheratiobGetweenNLOfandLLcrosssections(&N,LO^_=&LLx)and71Ehe}'avy
avorfactors,WwhichW6areW5inturntheratiobGetweenk-factorsW5forHF+: 0l2`p(incl)W5and2lp(incl)W5proGcess72from'iMCFM'][12
        !           179: ].bxHereHFdenotesZ$+&bb,0Z+cc,0W@+bb'iorW@+cc'handl2`pstandsforElightip}'arton.bxHeavy73
avorgfactorsarefappliedonthetopofk-factorsinordertoprovidethecorrectnormalizationforproGcess74where3Fheavy3Equarksarepresent.fmF*orZaproGduction,:samplesaresplitintoZb+lightjets,:Z޲+&bbandZݲ+&µcc.75ZE+)light(partoncrosssectionsaremultipliedbyak-factor(of1.3,whileZg+&bbandZg+&ccaremultipliedby76additional`hheavy`i
avorfactorsof`i1.52and1.67respGectively*.&W+jetssamples`iarealsosplitthesameway:77W߽+|-light|.jets,WU+RŵbbandWT+RƵcc.QInW+|-lightjetscaseak-factorof1.3isappliedwhileanadditional78heavyUU
avorfactorof1.47isappliedtobGothWo+8bbandW+8ccsamples.79
1.1       uid12904  180: T*ableUUIVsummarizesthecorrectionfactorsapplied.806Aיffw>Y&h
1.2     ! uid12904  181: ff"0٘ProAcess"/
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1.2     ! uid12904  325: ffff&6玎&K{kdT:ABLETV:MCSamples.pHerel;standsforthethreelepton
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1.1       uid12904  326: ^MCsamplescorrections84
                    327: StandardUUDcorrectionsareappliedtoMCinordertoobtainabGetterMC-dataagreement[13
                    328: ].85?"V
                    329: 
                    330: cmbx10T
1.2     ! uid12904  331: riggerFeciency:3anadditionalscalefactor(weight)isappliedtoMCخtoaccountforthetriggereciency86inUUdata.qF*urtherdetailsaregiveninSectionIGII.87Luminosit9y&xreweighting:inordertoreproGduceluminosityeectsfromrealdata,simulatedsamplesare88overlaidItoHZeroBiasdataDuetoadierenceinintantaneousluminosityIbGetweentheHoverlayandHrealdata,89theUUluminosityproleofallMCsamplesisreweightedtomatchtheluminosityproleindata[14
        !           332: ].90PrimaryVBv9ertexreweighting:Rz6       vertexqdistributionsraredierentqbGetweendataandqMC.Thisdierence91iscorrectedbyreweightingMCzowvertexdistributionsusingthereweightproGcessorfromtheFcafEff&fǫmcEff&futil92packqageUU[15
        !           333: ].93WZ@andZp&TCgrew9eighting:iforPbGothPW+jetsandZ+jets,thep&T
        !           334: distributionfromMCPsamplesis94reweightedUUtomatchtheequivqalentdistributionindata,accordinglytothestandardway[16
1.1       uid12904  335: ].95bfragmen9tation:
1.2     ! uid12904  336: thejwsystematicsonjvthereweightjwoftheb-fragmentationfunctionfromthedefaultin96PythiatothevqaluetunedtoreproGducecolliderdatawasassumedtobGethesymmetrizeddierencebetween97theUUAODandSLDtunes[17
        !           337: ].98JetShiftingSmearingandRemo9ving(JSSR):)&duetodierencesin)'energyscale,^resolution,recon-99structionandidenticationbGetweendataandMC,MCjetsareshifted,  smearedandpGossiblyremovedusing100standard}JSSR}proGcessor[18
1.1       uid12904  338: ]._Inthisanalysisshiftingisturnedotosignalt'#&btOandontoWG=qZ4+jets101samples.102T
1.2     ! uid12904  339: au0EnergyScale(TES):DduetotheCanalysissensitivitytoanydierencebGetweendataandMC/inthe103energy&scaleoftausdecayinghadronicallyweapplya%E=pcorrectiontothisenergyscaleasdescribGedin104[19
1.1       uid12904  340: ].105!C%{IKII.TRIGGERPARAMETRIZATION106
1.2     ! uid12904  341: AsaforementionedthetriggerusedinthisanalysisisJT2ff3JT15LffIPffVX.InbGothv15andv16trigger107versions,$thistriggerhas4termsatlevel2.]Currently*,$onlythreeofthese,$theL2H&TL,$missingE&T        eo(6qȵE&T)and108sphericitybasedbrancheshavebGeenmodelledbythehbbgroup[5&].gaThereforethesearetheonesusedin109this<analysis.i[Themissing<termistheacoplanarityterm,Anamely*,AL2JET(1,20,2.4)L2HT(35,6)MJT(20,10)110L2ACOP(168.75),UUwhichisthesameinbGothv15andv15triggerlists.111
1.1       uid12904  342: T*ableUUVIshowstheL1,L2andL3requirementsofthetrigger.112
1.2     ! uid12904  343: 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&~bythe&probabilitiesof0,,1,,2and3ormorejetsbGeingtagged,,whicharethemselvesgotfrom117TRF's,UUasdescribGedinsectionIV&D.118
        !           344: The3trigger3eciencyiscomputedasaprobability(ET;rigWeight)whichwe3assoGciatetoeach3MC2event119with:120|"fP*=P&t0 8P&b0
1.1       uid12904  345: 9+P&t1P&b1
                    346: 9+P&t2P&b2
1.2     ! uid12904  347: 9+P&tO!cmsy73P&b3&((1)whereP&ti    Y@isthetriggerprobabilityfortheeventifithasib-tagsandP&bi    .isinturntheprobabilityofhaving121iUUb-tagsintheeventUUoinereconstruction.122123
        !           348: Whatfollowsisabriefdescriptionofhowthetriggerprobabilitiesateachlevelwerecalculated.s%Single-124ob8jectturn-oncurvesweredeterminedusingmuontriggeredeventsfromtheTOPJETTRIGskim.>Some125turn-onUUcurvesarefoundinAppGendixB.qAmorecompletedescriptioncanbefoundin[5&].126
        !           349: u2&E103/B37ff&PMffff&PMY&Lev9elv15Ήff&PM&L1MCSWJT(3,8,3.2)CSWJT(2,15,2.4)CSWJT(1,30,2.4)
1.1       uid12904  350: &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
                    351: 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)
                    352: &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
1.2     ! uid12904  353: оjƼ<35cm>FHBT:A9G(0.4)ff&Z>Y&NameJT2ffgTy3JT15LffgIPffgVXff&Z>ffff&Z>?㩍T:ABLEgnVI:gmLev9el-by-leveldescriptiongmoftriggerJT2ffgTy3JT15LffgIPffgVX.ThegmCSWJT(x,y:,z)termcorrespAondstoxL1
        !           354: jetsabAo9veyGeVandwithinjRjƼ<z8b.WTheJT(x,y:,z)termcorrespAondstoxjetsreconstructedatL2orL3withp&Tm>yGeVEandFjRjƼ<zc.TheFHT(x,y)termF  isusedonlyatL2andrequiresthatthesumofthetransv9ersemomentaF   ofL2jetsciwithp&Tϼ>yGeVcUisabAo9vecixGeV.TheSPHER(0.1)termrequirestheev9entcjsphericitycicalculatedfromL2jetstobAegreaterthan0.1.7TheMJT(x,y)termcorrespAondstoamissingtransv9erseenergy>xGeVncalculatedfromjetslwithE&T>yGeV.TheSTTIP(1,5.5,3)termrequiresoneL2STTltrac9kwithanimpactparametersignicancegreaterthanorequaltothreeanda-=2m<ƹ5:5.KThejz&PV
        !           355: оj<35cm>3htermrequirestheprimaryv9ertexreconstructedatL35>tobAewithin35cmofthecen9terofthedetector5=andtheBT:AG(0.4)termisusedonlyatL3andcorrespAondstoaTcutof0.4ontheprobabilit9yfortheeventtonotcontainab-quark.-dA.
        !           356: ^LevCel1127Level1consistsofjettermsonly:X1jetwithE&T       Ƶ>30GeV
andj[ٸj3<32:4,OasecondjetwithE&T Ƶ>15GeV128andUUj[ٸj<2:4andathirdjetwithE&T   ε>8GeVandj[ٸj<3:2.qThetotalL1probabilityisgivenby129'{@&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$q)]ɍ&((2)Ɏ'pzwhereP&c(dXxjets)istheprobabilityofhavingxormorejetspresentintheeventandP&c(=dXxjets)is130the)yprobability)zofhaving)zexactlyxjetsintheevent.  5The)ytermEnoiseBjetsreferstoallthoseL1jets131that­didn'tmatchto®anoinejetwithin&R;<'0:5.IntheequationabGove®therstlinecorrespGonds132to#thetermCSWJT(3,8,j[ٸj<3:2$),`thesecondtothetermCSWJT(2,15,j[ٸj<2:4)"andthethirdtotheterm133CSWJT(1,30,j[ٸj<2:4$).:L1jetsthatmatchedoineoneshadtheirturn-oncurvesparametrizedasfunctions134ofkqoinejetkppT&c's.ThenumbGerkqofnoisejetskppereventkqwasparametrizedkpasafunctionofoineH&TL.AllL1135turn-onUUcurvesarefoundinAppGendixB&1.136 WϠB.
        !           357: ^LevCel2137Levelm#2partofthistriggerconsistsofanORmofthreeterms(hereclassiedasEtop,sEhbbandEmjt),seachwith138aUUvqariationforv15andv16:139|v15Ttop:-5G3UUjetswithp&T      ε>8GeV,2withp&T>15GeV,1withp&T>30GeVandH&T>100GeV1401v16Ttop:-5G3$jets$withp&T      ε>8GeV,2withp&T  ε>15GeV,1withp&T ε>30GeV,H&T        ε>75GeV$andSTTIPwith141IPSIGUU3and^2C<5:5.1422v15Th9bb:/q3UUjetswithp&T    ε>6GeV,H&T>75GeVandsphericity>0.1143v16Th9bb:/q3jetswithp&T     ε>6GeV,H&T>75GeV,sphericity>0.1andSTTIPwithIPSIG3and^2C<5:5.144H2&E11jv15Tmjt:.*3jetswithp&T        o>8GeV,2jetswithp&T>15GeV,1jetwithp&T o>30GeV,H&T>75GeVand6E&T145>UU10GeV.146v16Tmjt:.*3jetswithp&T   o>8GeV,2jetswithp&T>15GeV,1jetwithp&T o>30GeV,H&T>75GeVand6E&T147>UU20GeV.148
        !           358: 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*ableVIwe3seethatforv15triggerversion,:L2jetsterms3areactuallysubsetsof151L1.OAsv.herev-conditionalprobabilityisused,~citmeansthattheprobabilityofL2jettermsringifL1terms152redaisunity*.1Howeverainv16thebPtrequirementofjetsinthersttriggertermwasloGosenedfrom8to6153GeVNandhArequirementon8gGeVOjetsinthethirdtriggertermwastightenedhfromj[ٸjj<3:2tohj[ٸj<2:4.154As"in#theL1case,VallL2jetsmatchingoineoneshadtheirturn-oncurvesparametrizedasfunctionsof155oine=jet=p&TL's,BWexceptfornoisejets,BWwhosenumbGerin=eachevent=whichparatrizedas=funcionsofoineH&tV.156T*urn-onUUcurvesforthesecasesarefoundinAppGendixB&2.157Lev9elς2σH&T8term:$this.term.consistsofacutofH&T
        !           359: {>175GeV.forv15andH&T
        !           360: {>`100GeV.forv16).158CorrespGondentUUturn-oncurvesareshowninAppGendixB&3.159Lev9el?2>6E&T
        !           361: Iterm:3thexcorrespGondent6E&T       cutsx
        !           362: are>10GeVxand>x20GeVforv15x
        !           363: andv16respGectively*.160TheirUUturn-onareshowninAppGendixB&4.161L2ASphericit9yAT
        !           364: erm:1this"termrequiresasphericity!cutof>0.1.GCorrespGondingturn-oncurvesareshown162inUUAppGendixB&5.163L2STT:DtheDL2STTIPDeciencywasmeasuredforeventsinv16DwhichhavepassedDtherestoftheL1,164L2}(L2topOR}L2hbb)andL3}(exceptL3b-tag)triggerrequirements}andtheoinethreetovejetselec-165tion.Theםeciencywasלmeasuredversustheinvqariantלmassofthetwoלleadingjets,/separatelyfor0,.1,/2166and3oinetightNNb-taggedevents,yin
        !           365: thethreedierentluminosityregions.AppGendixB&6showsthe167STTIP(1,5.5,3)+eciencyversustheleadinginvqariantdi-jetmassinthelow,mediumandhighluminosity168rangeUUfordierentnumbGerofoineb-tags.169!C%ϐ2C.
        !           366: ^LevCel3170L3dconsistsdofajetpartandab-tagone.F*orthejetpartofL3,gturn-oncurvesweredetermineddforevents171passingUUbGothL1andL2requirements.qCorrespondingprobabilityisgiventheequationbGelow172@&ʍP&c(L3)+=[P&c(3jetsUW)8+P(=2jetsUW)P(1noiseUUjet$q)+P(=1jetc)P(2noiseUUjets(c)+P(=0jetsUW)P(3noiseUUjets(c)]V8[P&c(2jetsUW)+P(=1jetc)P(1noiseUUjet$q)+P(=0jetsUW)P(2noiseUUjets(c)]ɍ&((4)Ɏ!InrtheequationabGovestherrstlinecorrespondstothetermJT(3,15,j[ٸj<3:6$),9thessecondtotheterm173JT(2,25,j[ٸj<3:6$).YxHerewasappliedthesametreatmenttoL3jetsmatchingoineonesandtonoisejets174asUUinL1andL2jetterms.qCorrespGondingturn-oncurvesareshowninAppGendixB&1.175
        !           367: Ecienciessfortheb-tagpartrofL3weremeasuredintwodierentwaysrdepGendingwhetherthetriggerlist176was
        !           368: v15or      v16.?YInthev15caseeventswere       recordedwiththeJT2ff4JT20andJT2ff3JT12LffMM3ffVtriggers,177sinceI^theirL1I_andL2conditionswereexactlythesame.mEventsI^werefurtherI_requiredtopasstherestofL3178conditionsYofJT2ff3JT15LffIPffVXYandYtheoineeventYselection.Inthev16caseecienciesweremeasured179inasimilarfashion,+butusingtriggerJT4ff3JT15LffVX(whichhasnoL2STTorL3BT*AGrequirements).180Events`wereathenrequiredtohavearedoneofthethreeL2branchesofJT2ff3JT15LffIPffVXRandtoapassthe181oineUUthreetovejetselection.qAllturn-oncurvesforbGothtriggerlistsarefoundinAppendixB&8.182!2&E12jўIV.zOBJECTIDENTIFICATION183InUUthissectionwedescribGethemainob8jectsusedinthisstudy:qǸ6qȵE&T,jetsandhadronictaucandidates.184!c%ںA.
        !           369: ^Taus185T*ausarereconstructedintheDdetectorfromenergyinthecalorimeterandoneormoretracks.Thetau186
P\reconstructionyalgorithmyusesaconeof&Rʲ=n5u
1.1       uid12904  370: 
1.2     ! uid12904  371: cmex10p
n5fe*e       ˍ`
        !           372: %2+8`
2:'m<0:5andaninnerconeof&R<0:3isusedto187calculateUUtauisolationvqariables.188
1.1       uid12904  373: F*orUUus,themostimpGortantdiscriminatingvqariablesfor&!Dz-leptonsare[20
                    374: ]:189poProleUU-iErb}1O
\cmmi5T+Erb}2Tɉfe$M.:#cmex7P
1.2     ! uid12904  375: 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[;&ofradiusRMaroundthe191
$calorimeterUUclustercentroid.192𐍍T*rackȒisolation,%adenedasscalarsumoftheȑp^0bTHofnon-Ytracksina[;&coneof0.5aroundthe193calorimeterUUclustercentroiddividedbysimilarsumfortracksassoGciatedwith&!Dz.194g
        !           376: 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).199gwhichleadsusclassicatereconstructedtausintothreedierenttypGesdependingonthenumberoftracks200andUUelectromagnetic(EM)clusters[21
        !           377: ]: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^twoormore(amatchedchargedtracksandwith(aorwithoutEM(UsubGcluster.206MainlyUU߸![ٟ^ڵ[ٟ^[ٟ^+i([ٟ^0L)&5.207g
        !           378: InKrorderKstoprovideanoptimaltauidentication,threeNeuralNetworks(NNs)Kraretrainedtoidentifythe208threeUUtypGesofthetaus(1,2and3).209
        !           379: TheeoutputoftheseNNsprovideseasetofthreevqariables(Fnnout=1,2,3)tobGeusedtoselectthetauin210the~event.\*ThetypGesroughlycorrespondtothe6EleptondecaymoGdes.\*HighvqaluesofNNncorrespGondtothe211physicalUUtaus,whilelowonesshouldindicatejetsmisidentiedastaus(fakes).212!c!B.
        !           380: ^Jets213JetsareidentiedusingtheRunIGIconealgorithm[22
        !           381: ]withconesizeof&RB</!0:5.-
        !           382: ThejetalgorithmT42214[23
        !           383: ]]isranbGeforejet^reconstructiontoremove]isolatedsmallenergydepositsduetonoise.Dstandardjet215qualityIcuts[24
        !           384: ]HincludeL1T*riggerinformation,
calorimeterelectromagneticfractionandcoarsehadronic216fraction.217
        !           385: JetsusedinthisanalysisarerequiredtohaveatleasttwoprimaryvertextracksassoGciatedtothem218(vertexZconrmedjets).pItimpliesthatalthoughacalorimeter[clusterisstillreconstructedasajet,itwill219bGe#Ddiscardedif#Cithaslessthan2assoGciatedPV#tracks.۔Inordertocorrecttheenergiesofreconstructed220jets\indataand[MCIbacktoparton-levelenergies,weapplycertiedjet[energyscalecorrection(JES)[25
        !           386: ].221Additionally*,cjets`containinga`muonwith`&RDz(;&jet)P<O0:5from`ab-quark`decayare`correctedtotakeinto222accountUUthemomentumcarriedawaybythemuonandtheneutrino[26
        !           387: ].223
ٶ2&E13jvyC.
        !           388: ^6hET224Presenceofneutrinosin    aneventcausesanimbalanceofenergyinthetransverseplane(6qȵE&T).SXThisquantity225is calculated
        !           389: fromthetransverseenergiesofallcalorimetercellsthatpasstheT42algorithm,exceptthose226of
        !           390: thecoarsehadroniclayers
        !           391: duetohighnoiselevel.iHowever,they
        !           392: areincludedinthecasethattheyare227clustered?within?areconstructedjet.jWThisraw6qȵE&TXiscorrectedfortheenergiesofotherob8jectslikephotons,228electrons,kvtaus3and3jets.
KAsmuonsdepGositonlyasmallpGortionoftheirenergyinthecalorimeter,kvtheir229momentaUUissubtractedfromthe6qȵE&Tvector.230!C%|6D.
1.1       uid12904  393: ^TheNeuralNetCworkb-taggingAlgorithm231
1.2     ! uid12904  394: BeingLQCDLandLWP+jetsthemainsourcesofbackgroundsinthisanalysis,requiringthepresenceof232atleastonejetcomingfromab-quarkisaverypGowerfulmethoGdofbackgroundrejection.*Theb-tagging233algorithm:eused:finthismeasurementisaNeuralNetwork(NN):*tagging:ealgorithmdevelopGed:ebythe:eb-ID234group[27
        !           395: ],which
        !           396: combines7characteristic
        !           397: vqariablesofSVT,JLIPandCSIPtaggingalgorithmsintothe235NNdiscriminant.2AsinthepreviousanalysiswehavechosentheopGeratingpointTIGHT,whichisequivqalent236to,requiring,theNN,discriminantoutputtobGegreaterthan0.775.dNBoththeaverage,eciencyandfakerate237areUUcomparablebGetweenUUthisp20versionofthealgorithmandtheversionusedinp17[28
1.1       uid12904  398: ].238
                    399: Ea.
                    400: 8bE-taggingZ"eciency
1.2     ! uid12904  401: &Indataweapplytheb-taggingalgorithmdirectlytojetsselectedinoursample.239InMCsuch\directtag"isnotdone.5InsteadwehavetoapplyacertaineciencytoMCsamples.5This240inclusive5!b-decay5 eciency(&bD)ismeasuredindataanditistheproGductoftheprobabilitytotagab-jetin241anlMCVsample(^M,Cvb6)containinginclusivedecaysmofthebquarktimesascalefactor.zThisdata/MCUscale242factorCisgivenbytheratioofdatasemileptoniceciency(^D7AT&Avb!Ͳ)andDaMC2semileptoniceciency(^M,Cvb!).243This9vscalefactor,?      thatmeasurestheeectonthe9utaggingratecausedbythedierencesintrackingbGetween244data5andMC,isthenusedto5propGerlyscaletheMC-derivedeciency*.gEItisassumedthatsuchfactorcould245bGeUUappliedtoanyMCtaggingeciency[27
1.1       uid12904  402: ].246
                    403: Eb.
                    404: 8cE-taggingeciency
1.2     ! uid12904  405: &ItF;isassumedF<thatthesameproGcedureadoptedintheb-jetcaseisalsovqalidfor247c-jets,+namely*,+a!c-jetscale!factor(^D7AT&Avb!Ͳ)/(^M,Cvb!)multipliestheprobabilitytotagac-jet!inanMC!sample248
(^M,Cvb6)UUtogetthec-taggingeciency*.249
1.1       uid12904  406: Ec.
                    407: 8Lightjettaggingeciency
1.2     ! uid12904  408: &Theصb-tagfakeratefromlightquarksiscomputedbymeasuringthe250negativetagrateasdenedin[29
        !           409: ].U/ThemethoGdusestsofb-,c-andlightjetstaggingratestobinneddata251combinediwithisamplecompGositionestimatedfromdata.BinnedNNioutput(N&N&out25)distributionsforb,nc252andUUlightjetsisttedtodatadistributionusingb-andc-jetecienciesprovidedbystandardbIDTRF's.253
1.1       uid12904  410: Ed.
                    411: 8T;aggability
                    412: &b-tag\
1.2     ! uid12904  413: algorithmcan'tbGe\       appliedtoanyjet,]butonlytheonesthatcontain\    tracks.Such254jetsearecalled\taggable"andaredenedbymatchingewithin&Ry<0.5toatrackjet,compGosedofat255least<Ftwotracks.ilJustlikeb-tagging,AItaggabilityisdierentindataandMC,<EduetoimpGerfectsimulationof256trackingssystem.#T*oaccounttforthis,{taggabilitytratefunctionsareappliedtoMCUevents.#Suchsfunctions257areparametrizedintermsofjetp&TL,jetʲandprimaryvertexzp.TheywerederivedonthesingletoploGose258data{samples,whereztheisolationqualityoftheleptonisloGose.Thevqalidityofthesefunctionsistested259by[comparingobservedandpredictedtaggabilitytotightsamples.TheresultsshowagoGod[agreementas260describGedUUin[30
        !           414: ].2612&E14jV.`ANALYSISOUTLINE262
        !           415: Up~to~thispGointwe~havepresented~thedatasampleusedinthisanalysis(SectionIGI&A)theMonteCarlo263samplesandcorrectionsappliedtothem(SectionsIGI&CandII&D),thetriggerusedanditssimulation(Section264IGII)andtheob8jectIDmethoGd(SectionIV).INowwedescribGethenextstepsoftheanalysistowardsthenal265crosseUUsectionmeasurement:266Preselections(sectionVI):atleasts4jets,{atleastonewithNN>0.3andp&T    Fٵ>#10GeV/c,15GeVs2676qȵE&T   UU500GeVand6E&T     signicance>4.0.268&!Dz-} and}b-ID}cuts(sectionVIGI):\atleastonegood}leptoncandidateandatleastonetightNN}b-tag269areUUrequired.270T*opGologicalhNNX(sectionVIII&B):Rafeed-forwardgNN'sistrainedinordertoprovidesignal-background271separation.yThe?NN'wasoptimized>bytesting?dierentsets?oftopGologicalvqariablesasitsinputsand272byUUapplyingdierent6qȵE&T  signicancecuts.273T*opGologicalPVariablesO(sectionIX):sectionshowingnalanalysisplotsoftopGologicalvqariablesof274interest.275CrossSection(sectionX)Thesignalfractiondeterminationiscombinedwithintegratedluminosity276measurementYtoZcalculatethecrosssection.@tSystematicuncertaintiesaredeterminedby
uctuatingthe277signicantQcompGonentsupanddownbyoneQstandarddeviationoneatatime,RPpropagatingitthrough278theUUentireproGcedure.279!C%VI.͹GPRESELECTION280
        !           416: TheSYpreselectionSXistherststepoftheanalysis.qThecutspresentedherewerechosenSXinordertoprovide281thebGestbackgroundreductionandenhancethet'#&btBcontentatthispGoint.dThecutsarethesimilartothose282usedinthep17analysis[3&]exceptthatforthistimeweoptedtooptimizethevqalueof6qȵE&T     ]signicancealong283withrthesetsrofvqariablesweusedasinputstoNNrtraining(SectionVIGII).iCutsrshownbelowrwereapplied284toUUsamplesshowninT*ableVaswellastodataasshowninSectionIGI&A.285Atleast4jetswithp&T   >4915GeVand<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
        !           417: ]/&and[32])-/&events/thatpasstheleptonpreselectioncutsfromthesemeasurementswere292vetoGed.Also$eventsthat$passtheall-jetsanalysispreselectioncuts(describGedinthealljetanalysis293noteUU[33
1.1       uid12904  418: ])arerejectedhere.294
1.2     ! uid12904  419: Amongf!allpreselectionf cutsoneofthemrequiresamoredetaileddescriptionatthispGointsinceitrepresents295an^improvement^upGontheoldp17analysis:6&,E&T
        !           420: lsignicance.Missingtransverseenergysignicanceisa296measure;of<thelikelihoGodof;6sE&T
        !           421: <arisingfromphysicalsources.B{Itiscomputedfromcalculatedresolutions297ofphysicalob8jects(jets,electrons,muonsandunclusteredenergy)[3&,34
].7 Initiallyno6jE&T        Ӳsignicancewas298appliedneitheronMCnorondata.Inthisanalysiswedecidedtooptimizethe6E&T
        !           422: Vsignicancecutalong299withtheNNoptimizationitself.^Afternishingthe6E&T
        !           423: dsignicanceoptimizationpartwewentbackand300appliedtheoptimizedcutalongwiththenon-optimizedNNeleccutonlytoMC.Theentireoptimization301proGcedureUUisdescribedinSectionVIII&C.302
        !           424: Indata,initiallythesamplecontainedapproximately650millioneventsandthenumbGerofpreselected303eventsUU(onceagain,without6qȵE&T      signicanceapplied)isapproximately2.8millionevents.304
        !           425: AnotherrelevqantaspGectofthepreselectionistheusageofParticleSelector(onlyappliedtoMCsamples).305In
thisstepweaimedtoselectaparticulart'#&bt     /nalstate,{namely*,|wesplitWdecayintoW/!\e==Բand306tracked4separateeciencies4foreachoftheseproGcesses.fInthisstepweselected4hadronicdecaysoftau,;Kand307&2&E15jatFtheFsameeventswhereFtaudecaysintoFelectronsandmuonswereFputintoe+jetsF߲and+jetsF߲samples.308AsUUinp17,wedecidedtodonotsplitthedileptonsampleindierentlepton
avors.309
        !           426: BeforeproGceedingtothenextstep,itisimportanttodescribetheresultofthepreselectionintermsof310itsZ]ecienciessinceZ^alltherestofanalysisstronglydepGendsonthecutsappliedatthislevel.Aspreviously311describGed,;ֵt'#&btwere5vgeneratedby5wALPGEN.InALPGEN,dierentproGcesswithdierentnumbGers5wofpartons312have]dierentcross-sectionsandnumbGerofevents.XThisfactmustbGetakenintoaccountwhencalculating313the8meciencies,>4namely*,>5ecienciesmust8lbGeproperlyscaled8ltotheluminosity(4951.85pb^1
        !           427: t)ofthesample.314T*ablesUUVIandIGIIUUshowthenumbGerbeforementionedfort'#&btc!lepton+jetsandt'#&bt!dileptonrespGectively*.315&dh.6ff&Y&h
1.1       uid12904  428: ff{٘ProAcess
                    429: ffL#Tofev9ents&h
                    430: ff64cross-sectionT(pb)&h
                    431: ffʴalpgenTw9eight&h
                    432: ffΉff&ffff&롍&h
                    433: ff٘0Tligh9tparton
1.2     ! uid12904  434: ffUf777068Gs&h
        !           435: ffq1.4=&h
        !           436: ffL0.00892&h
1.1       uid12904  437: ffff&롍&h
                    438: ff٘1Tligh9tparton
1.2     ! uid12904  439: ffUf457782Gs&h
        !           440: ff9s0.577?&h
        !           441: ffL0.00624&h
1.1       uid12904  442: ffff&롍&h
                    443: ff٘T2ligh9tpartons
1.2     ! uid12904  444: ffUf321166Gs&h
        !           445: ff9s0.267?&h
        !           446: ffL0.00412&h
1.1       uid12904  447: ffff&뎎%+T:ABLETVIAI:tVۍ &%t!lepton+jetsALPGENw9eights.<30h.6ff&Y&h
                    448: ff{٘ProAcess
                    449: ffL#Tofev9ents&h
                    450: ff64cross-sectionT(pb)&h
                    451: ffʴalpgenTw9eight&h
                    452: ffΉff&ffff&롍&h
                    453: ff٘0Tligh9tparton
1.2     ! uid12904  454: ffUf749642Gs&h
        !           455: ff9s0.352?&h
        !           456: ffL0.00233&h
1.1       uid12904  457: ffff&롍&h
                    458: ff٘1Tligh9tparton
1.2     ! uid12904  459: ffUf452177Gs&h
        !           460: ff9s0.142?&h
        !           461: ffL0.00156&h
1.1       uid12904  462: ffff&롍&h
                    463: ff٘T2ligh9tpartons
1.2     ! uid12904  464: ffUf281453Gs&h
        !           465: ff9s0.068?&h
        !           466: ffL0.00119&h
1.1       uid12904  467: ffff&뎎/T:ABLETVIAII:tVۍ &%t!dileptonALPGENw9eights.!N9
                    468: T*ables_
1.2     ! uid12904  469: IX,vX,XIand_    XIGIshowcut
owsforallpreselectioncutsappliedtodierentt'#&bt
        !           470: }decays(only316statisticalUUuncertaintiesareshown).317PYfӉff&Y"5SelectionksEv9entsRelativ9eŜCum9ulativeΉff&(DInitialmw11164
        !           471: \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
1.1       uid12904  472: 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
                    473: 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
                    474: 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
                    475: 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
                    476: 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
1.2     ! uid12904  477: 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
1.1       uid12904  478: VIKI.DbʺANDĝSELECTIONS318
1.2     ! uid12904  479: In3the2nextstepweappliedtherequirementsoftight&!Dz-andb-tagging.r`T*ableXIGII3showstheselection319criteriathatweappliedtodataandMC.Theb-tagopGeratingpointusedwasTIGHT,whichcorrespGonds320toENNbtagEʵ>0.775.lW*echosethegwiththehighestN&N&EasEthe&gcandidate.lAtthisstageoftheanalysis321weֵseparatedtheeventsdatasetwedealwithֶintoparts,accordingֶtowhichtypGeof|thecandidatewith322highestaNN`bGelongs.Thisa&wasdoneprimarilytoseparatethetypGe3tauevents(whichaareexpGectedto323havemuchhigherfakerateandthusweakert'#&bt      ɲcrosssectionresult)fromthetypGe2events.Theseparate324measurementchannelswerelatercombinedtogetthenalresult(SectionX).Inprinciple,ctypGes1and2325shouldJbGeseparatedaswellbutasthereexistsaconsiderablecross-migrationbetweenJthem[20
        !           480: ]andtype3261isasmallfractionofthetotal(10%oftypGe1,I\54.5%oftypGe2and35.5%oftypGe3),I[theyweretaken327togetther8in7thisanalysis.oThetopGologicalNNusedtoenhancethesignalcontent8isdescribGedinsection328VIGII&BUU.329
        !           481: At]this^pGoint,weused]theseIDEalgorithmstodene3mutuallyexclusive^andexhastive^subsamplesout330ofUUtheoriginalpreselecteddatasample:331The$\non-bveto"or#\signal"sample-the,candidatehasN&N&O>0:90(NN&      
        !           482: Ydenotes$theNN
        !           483: cut332commonlyrappliedtoallrtaus)fortaustypGes1and2andN&N(&!Dz)q>0:95rfortaustypGe3,zXandatleast333onet)NNt"b-tagt*(asinT*ableXIGII).ETheset)N&N(&!Dz)cutst)werechosent)basedonpreviousstudiesinvolving334hadronic8wdecaysoftaus[19
1.1       uid12904  484: ,>=37
>?].h(Thisisthesampleusedtoextractthecrosssection.Jetsmatchedto335wcandidatesUUarenotb-tagged,althoughttheystillcountasjets.336The
1.2     ! uid12904  485: &\+vetosample"or
        !           486: %\loGose-tight+sample"-Sameselection,7Zbutwith
        !           487: %0:3s<N&N&<r0:7
        !           488: &forall337taus.h&RNN^lowercutof0.3insteadof0.0waschosentobiastheirjetpropGertiesclosertothoseof338tight5tau5candidates,</inparticular,sothey5havenarrow5showers.gLTheuppGer5cutisat0.7andnot0.95339or40.90toreducesignalcontamination.dInthissample,l1400000eventswereusedforNN(trainingfor340taus*typGe)1and2and600000events*wereused*inthecaseoftypGe3taus.EInbGothcases,therestof341theUUsamplesservedasQCDtemplate.342Theo\bnveto"sample-Requireexactly0tightb-tags.Thisisthecontrolsampleusedtoverifythe343vqalidityoftheQCDmoGdellingmethod.KThebvetorequirementimpliesthissampleisalmostpurely344background.345
        !           489: AlongDwithEtheN&N&D4cutdescribGedabove,HCwealsoDappliedthecutNNelec>0.9onlytotypGe2taussince346thesearemorelikelytobGefakedbyelectrons.EThecutNNelec>0.9waschoseninordertomatchthelowest347cutUUofN&N&T>0.9appliedtotypGe2taus(SectionVII).348
        !           490: AsbGothbandrIDuisthestepimmediatelyafterthepreselection,thenumbGerofeventsavqailableis2800000349million@events.jAsexplainedabGove@1400000events@wereused@fortaustypGe1and2NN@
        !           491: trainingand600000350fortypGe3tausNNtraining.Thus,\thereare1400000eventsavqailableineachsampleforthemeasurement351inh&thecaseoftypGesh'1and2and2200000inthecaseoftypGe3.:DetailsonNNh"trainingaregiveninSection352VIGII&B.353
1.1       uid12904  492: TheUUQCDmoGdellingmethodusedhereisthesameasusedinp17andisdescribedinSectionIXAof[3&].354
1.2     ! uid12904  493: The_nal`numbGerofevents`ineachchannel`forbGothsignalandbvetosamplesisshownonT*ablesXIV,355XV,UUXVIandXVIGI(onlystatisticaluncertaintiesareshown).356
        !           494: As$cimpGortantasdeterminingthesubsamplestobeusedinthisanalysis,X&adeterminationaspreciseas357pGossibleڭofbothsignalandelectroweakڭcontaminationinthe\loGose-tighttsample"hadbGedoneinorder358to6know5whetherthissampleistotallyQCD%dominatedornot..hNumbGersshowing5thecompGositionofsuch359sampleTareTshownonT*ablesXVIGIIandTXIXwiththeirrespGectivestatisticaluncertainties.QF*romthet'#&btbcontent360ineachcaseweareableestimatethesignalcontaminationintheloGose-tightsample.DSuchcontaminations361are?5.4%and3.0%?fortaustypGe1and2andtypGe3respectivelywhenacrosssectionof?7.46pbisassumed362(SectionIGI&C).qLikewiseweseethatelectroweakcontaminationsare2.2%and0.9%.qAsthisisthesample363usedotopmoGdeltheQCDFbackgroundbGothsignalandelectroweakocontaminationswereotakenintooaccount364whenUUmeasuringthecrosssectioninSectionX.365&<2&E18aЍ`45ff&YFDZdata&ltaggingMC
1.1       uid12904  495:   ]F1ȴwithj@Lj<2:5andp&&mTJ>20GeVjͷF1ȴwithj@Lj<2:5andp&&mTJ>20GeV5gF1NNb-tag!mcw08eig@Lht&,&T&r7igWeight&,&bT&agPr7ob&,&l
1.2     ! uid12904  496: `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
        !           497: b-tagging,thaty(is,w9ey)appliedtheb-taggingw9eight.GW:ey)alsousedthetriggeringw9eightasy)computedb9ythetriggereciencyparameterizationasw9ellasluminosityproleandP&HV&Z       reweightingweights. kmcw>eigRhtistheMCnormal-izationbfactors(toluminosit9y),vwhichbarebdierentforMCbsampleswithdierentbpartonmultiplicitiesinALPGENMCTsamples.&        s&o fftiY-Sample!w#Tev9entsΉffti3Ldataw386
1.1       uid12904  498: 􍍑!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
1.2     ! uid12904  499: 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:mFinaln9umbAerofmeventsinmeachchannelmfortaustypAesm1and2uafterb-tagging,IDmandtriggermin
1.1       uid12904  500: theTsignalsamplewhentheassumedcrosssectionis7.46pb.pAnestimateofQCDbac9kgroundisnotincluded.&s&o fftiY-Sample#Tofev9entsΉffti3Ldataw459
                    501: 􍍑!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
1.2     ! uid12904  502: 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:Finaln9umbAerofeventsineachchannelfortaustypAe3߹Afterb-tagging,IDandtriggerinthesignal
        !           503: sampleTwhentheassumedcrosssectionis7.46pb.pAnestimateofQCDbac9kgroundisnotincluded.&V2&E19S
1.1       uid12904  504: ~:p ffgY-Sample-#Tofev9entsΉffg3Ldataw2494
                    505: 􍍑!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
                    506: 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
                    507: 􍍑!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
1.2     ! uid12904  508: 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.&l2&E20S
1.1       uid12904  509: ~:&o fftiY-Sample#Tofev9entsΉffti3Ldatax1217
                    510: 􍍑!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
                    511: 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
                    512: 􍍑!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
1.2     ! uid12904  513: 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.&|2&E21jz\VIKII.ÄNEURALNETWCORKANALYSIS366A.
        !           514: ^VariablesforNNtraining367F*ollowingmthesameproGcedureasinthepreviousanalysis,6wedeterminethecontentofsignalandbackground368in&the&preselectedsample,-increasesignal/backgroundrateandfromthis,-measurethecross-section.wThe369proGcedureadoptedinthep17analysiswasfeedasetoftopGologicalvqariablesintoanarticialneuralnetwork370inordertoprovidethebGestpossibleseparationbetweensignalandbackground.Asbefore,thecriteriafor371choGosing!Xsuch!Yvqariableswere:   pGowerofdiscrimination!Yand&!Dz-uncorrelatedvqariables.Thesetispresented372bGelow:373릍H&T    -UUthescalarsumofalljet'sp&T(hereandbGelowincludingwleptoncandidates).374D6&
E&T]IF
C
1.1       uid12904  515: 
1.2     ! uid12904  516: cmbxti10Isignici>anceM-AsbGeingthevqariablethatprovidesthebestsignal-backgroundseparationwe375decidedUUtooptimizeit.376IAplanarityb"[35
        !           517: ]UU-thenormalizedmomentumtensorisdenedas377֍ױvM="ԍKPop^o;Zir}p^o;ZjK^fe#Z񍍑&YPAo^j[q!Bɵp^o
        !           518: j&((5)&S.where'!#ٍ&p^0ٲisthemomentum-vectorofareconstructedob8jectoandiandjVparecartesiancoGordinates.378F*romVtheVdiagonalizationofMwendthreeeigenvqalues&1C&2&3withVtheconstraintV&1+;|&2+&3C=3791.:TheHaplanarityIA7isgivenHbyAH=|3|&&fes2        "&3andmeasuresthe
atnessofanevent.:Hence,itisIdened380intherange0v̸M0:5.
LargevqaluesofAcorrespGondtomoresphericalevents,liket'#&bt[4eventsfor381instance,sincedtheyareetypicalofdecaysofeheavyob8jects.GwOntheeotherhand,bGothQCDDandW+&;jets382eventsUUaremoreplanarsincejetsintheseeventsUUareprimarilyduetoinitialstateradiation.383ISphericity[35
        !           519: ]2-1bGeingdenedasS-=e3e&&fes2
        !           520: *(&2&;+ȵ&3|s),andhavingarange0ݸSD1:0,sphericity2isa384measurerofthersummedp^2v?
        !           521: 2ܲwithrespGecttotheeventraxis.XInthissensea2-jetseventrcorrespGondsto385Sv|i
        !           522: 0andanisotropiceventSv|i
        !           523: 1.It'#&btReventsareveryisotropicastheyaretypicalofthedecaysof386heavyob8jectsandbGothQCDandWi+Ujets+eventsarelessisotropicduetothefactthatjetsinthese387eventsUUcomeprimarilyfrominitialstateradiation.388@kITopandWaPImasslikelihoi>od-a^2|s-likevqariable.hL@@`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
        !           524: ²issumofenergiesofthejets.393ፍcos&c(G)-Theanglebetweenthebeamaxisandthehighest-p&T  Ijetintherestframeofallthejetsin394theUUevent.395s0p#&s0fe㏟Ѝ(&㐵s)UU-TheinvqariantUUmassofalljetsand&!Dzsintheevent.396릍
        !           525: ThechosenvqariablesareintheendaconsequenceofthemethoGdemployedinthisanalysis:useevents397frommtheQCD-enrichedloGose-tightsampletomoGdelQCDmeventsinthesignal-richsample,t
anduseab-tag398vetoUUsampleasanindepGendentcontrolsampletocheckthevqalidityofsuchbackgroundmoGdeling.399!)<B.
1.1       uid12904  526: ^TopKologicalNN400
1.2     ! uid12904  527: F*ortrainingtheNeuralNetworkweusedtheMultilayerPerceptronalgorithm,&asdescribGedin[38
        !           528: ].As401explainedbGeforeinSectionVII,therst1400000eventsinthe\loose-tight"samplewereusedasbackground402forhNN\trainingfortausgtypGes1and2,andtherst600000ofthesamesampleforNN\trainingfortypGe3403taus.ThisameansathatdierenttautypGesareabeingtreatedseparatelyinthetopologicalaNN.Inbothcases404&Ġ2&E22j1/3fofetheAlpgensampleoft'#&btO!ܵ]+jetswasusedforNN5trainingand2/3ofitforthemeasurement.405Whendoingthemeasurementlateron(SectionX)wepickthetauwiththehighestN&N(&!Dz)inthesignal406sample|asthetau|cadidateatsametimethattausintheloGose-tightsamplearepicked|atrandomsinceall407ofthemareregardedasfaketausbybGeingbelowthecutN&N(&!Dz)=0.7.HBydoingthisweexpGecttoavoid408anybiaswhenselectingrealtausforthemeasurement.VFigures3and4showtheeectofeachofthechosen409theUUtopGologicaleventUUNNinputvqariablesonthenaloutput.410
        !           529: FiguresP5and6showOtheNNEoutputasaresultofthetrainingdescribGedabove.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
        !           530: 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:rainingoftopAologicalNeuralNet9workNoutputfort9ype3NVc9hannel.ȁUpperleft:&relativ9eimpactofeachof
        !           531: 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&}2&E24G=\QPSfile="CONTROLPLOTS/Std_TypeIII/nnout.eps" llx=0 lly=0 urx=567 ury=413 rwi=2835 _FIG.T6:pThetopAologicalNeuralNet9workToutputfort9ype3Sc9hannel돺C.
1.1       uid12904  532: ^NNoptimization413
1.2     ! uid12904  533: OneLdierencebGetweenKthisLpresentanalysisandKthepreviousp17isthatwepGerformedaNN,optimization414alongWwithWa6& E&T
        !           534: signicanceoptimization.y~Previouslyacutof>3.0wasappliedto6& E&T
        !           535: signicanceat415the
        !           536: preselectionstageandthenitwasincludedasoneofthevqariables  forNNtraining.Thistimeaswe416chose]tooptimizeit,_sinceitisstillagoGod]vqariabletoprovidesignal-backgrounddiscrimination(Figure7).417It`isimpGortanttostressoutthataftertheoptimizationwepGerformedtheanalysiswiththeoptimized6/E&T418signicancecutappliedwhendoingbGoth.andbID(SectionVIGI),qthereforeafterthepreselectionwhereno4196qȵE&T       signicance>cut>wasapplied.jMW*ethenwent>backanp>reproGcessed(preselected)allMC>sampleswiththe420optimized_cut.Bothresults, with6`,E&T
        !           537: 1signicance^appliedduringandafterpreselectiowereidentical.W*e421then
        !           538: 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.&t2&E25j
        !           539: BelowUUwedescribGehowwesplitthispartoftheanalysisintotwoparts:424w
81.Set&optimization:W*e'|appliedan'}arbitrarycuton6E&T
        !           540: t3signicanceof4.0andvqariedthesetof425vqariblesUUgoingintoNNtraining426|r
82.6qȵE&T
        !           541: signicanceUoptimization:mAfterKchosingKthebGestsetbasedonthelowestKRMS,weKthenvqaried427theUU6qȵE&T  signicancecut428w
        !           542: F*orqvthisqupartoftheanalysiswepresentquthesetsofvqariablesthatweretakenquintoaccounttoqupGerformthe429NNUUtraning430x㍍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,spher434|qISet$V2":UUaplan,cent,spher435ISet$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$XXXIII²:UUmetl,spher,costhetastar,aplan,cent463
        !           543: TheUUcriteriausedformakingadecisiononwhichvqariableshouldbGeusedfollow:464Nomorethan5vqariablestokeepNNsimpleandstable.ZMorevariablesleadstoinstabilities(dierent465resultUUaftereachretraining)andrequirelargertrainingsamples.466W*eUUdonotwantUUtousehighlycorrelatedvqariablesinsameNN.467W*eUUwanttousevqariableswithhighdiscriminatingpGower.468
        !           544: InordertomakethedecisionabGoutwhichofthese11choicesistheoptimalwecreatedanensembleof46920000)pseudo-datasetseachcontainingeventsrandomly(accordingtoaPoissondistribution)pickedfrom470QCD,5EWand4t'#&btHtemplates.JhEachofthesedatasetswastreatedlikerealdata,meaningapplyingallthecuts471andMdoingtheshapGeLtofeventMtopologicalNN.QCD&templatesfortweremadeLfromthesame\loose-tight472?Esample"}from~whichtheQCDpcompGonentofthe\data"wasdrawn._*The}gureofmeritchosenisgivenby473EquationUU6bGelow:474C܍|µfڧ=<$K(N&fit
A8N&tr7ue)Kwfe?)    (֍ѵN&tr7ue&((6)whereN&fitƲisthenumbGeroft'#&btKvpairsgivenbythetandN&tr7ueisthenumbGeroft'#&btKwpairsfromthePoisson475distribution._PInbGothSetand6E&T        8signicanceoptimization,NthelowestRMSnwasusedtocaracterizewhich476congurationUUisthebGestineachcase.477
        !           545: TheAplotsAshowingresultsconcerningthesetoptimizationsarefoundinAppGendixEandaresummarized478inT*ableXXbGelow,%whereeachRMSandmeanareshown.5IF*orNNtrainingisstandardtochoGosethenumbGer479ofhiddennoGdesasbeingtwicethenumbGerthenumberofvqariablesusedforthetraining.aTheparenthesis480afterUUeachsetIDshowthenumbGerofhiddennodesinNNtraining.481
        !           546: F*romaTableaXXweseethatSetIahasthelowestRMS,athuswechoseaitasthesettobGeusedin6&1kE&T482signicanceoptimizationpart,whose        resultsareshowninAppGendixFandthensummarizedinT*ableXXI483bGelow484
        !           547: 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&82&E27&6*卍DsKff7Y&h
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1.2     ! uid12904  714: ffff"0T:ABLEΩXXI:Resultsfor6TE&T       signicanceoptimizationpartwhenv|raryingthe6UE&T signicancecutThen9umbAerΩin
        !           715: 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.
        !           716: InlorderktochecklthevqalidityofouremsembletestsproGcedure,&itisinstructivetoplotbGoththedistribution488ofUUthepredictednumbGerUUoft'#&btDzandwhatiscalled\pull",denedinEquation7below:489C܍5p=<$K(N&fit
A8N&tr7ue)Kwfe?)        (֍)˵&fit&((7)>]whereUU&fit^istheerroronthenumbGerUUoft'#&btDzpairsgivenbythet.490
1.1       uid12904  717: FiguresUU9and10showbGothbeforementioneddistributions.491
1.2     ! uid12904  718: F*rom}Figure}9weseeagoGod}agreementbGetween}thenumbGer}oft'#&btBpairsinitiallysetintheensembleand492the     measuredvqalue.AndFigure10
        !           719: showsanicegaussiancurve,wthatindicatesagoGod       behaviour
        !           720: of  thet493uncertaintiesUUintheensembles.494&2&E29jIX.>+TOPOLOGICALVARIABLES495
        !           721: InԚthisԛsectionweshowԚplotsofthetopGologicalvqariablesusedinthisanalysisinordertocheckԚthe496agreementjbGetweendataandjMonteCarloinallcases.Plotsareseparatedintwokinds:"signalsampleand497b-vetoUUcontrolplots.498!C%A.
1.1       uid12904  722: ^Signalsampleplots499
1.2     ! uid12904  723: AsstatedinSectionVIGIthesignalsampleistheoneweusedtopGerformthemeasurement.]>Thecutshere500consistuofuN&N(&!Dz)>
0:90forutaustypGes1and2,}N&N(&!Dz)
>0:95forutaustypGe3,}
andatleastoneNNub-tag.501This#Gsample#HcontainsagoGodamount#Goft'#&bt(19.7%fortypGes1and2and8.6%fortypGe3)asshowninT*ables502XIV^and^XV.Nextweshow^theplotsofthetopGologicalvqariablesforthissample.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|rariablesinthesignal:(sample(B&t9ypes1and2).aThe:(Kolmogoro9v-Smirnov:'(KS)9probabilities
        !           724: 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|rariablesinthesignal:(sample(B&t9ypes1and2).aThe:(Kolmogoro9v-Smirnov:'(KS)9probabilities
1.1       uid12904  725: 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
1.2     ! uid12904  726: 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
        !           727: sho9wn,Tindicatingthelevelofagreement. &B2&E32jݏB.
1.1       uid12904  728: ^b-vCetocontrolsampleplots505
1.2     ! uid12904  729: TheSb-vetosampleSistheoneusedtotestourQCDSmoGdellingVII.m&AsitSrequiresnoNNSb-tagsitis506QCD-dominated:Kandhas:Jatinyamountof:Jt'#&btֽ(1.9%fortypGes:J1and2and0.7%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:ThetopAologicalf\v|rariablesintheb-v9etocontrolsamplef\(n\typAes1f]and2).Thef\Kolmogorov-Smirnov(KS)
        !           730: probabilitiesTaresho9wn,indicatinghowgoAodTtheagreementis.!&2&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:ThetopAologicalf\v|rariablesintheb-v9etocontrolsamplef\(n\typAes1f]and2).Thef\Kolmogorov-Smirnov(KS)
        !           731: 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:eThe9topAologicalv|rariablesintheb-v9etocontrolsample9(AtypAes3).TheKolmogorov-Smirnov9(KS)9proba-
        !           732: bilitiesTaresho9wn,indicatinghowgoAodTtheagreementis."2&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:eThe9topAologicalv|rariablesintheb-v9etocontrolsample9(AtypAes3).TheKolmogorov-Smirnov9(KS)9proba-
        !           733: bilitiesTaresho9wn,indicatinghowgoAodTtheagreementis.#ޠ2&E35j[X.&ECRCOSSSECTION511
        !           734: Having#presented"thepreselectionyeldsonSectionVIwenow#showthe"resultsoftheecienciesfor7ID,512b-taggingUUandtriggerforallt'#&btDzchannels513%^4şωffWY9Selection.Relativ9e(%)cCum9ulative(%)ΉffWSID-22:2080:24j:22:2080:24
1.1       uid12904  735: yTT:rigger,84:5480:55he18:7780:22b-tagging,61:8280:55he11:6180:16ffW%#gT:ABLETXXIAI:tSaHWt!Ƽ7+8jetsnalcut
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                    736: yTT:rigger,84:7980:75he10:4980:19b-tagging,59:6380:75jd6:2680:13ffWtraT:ABLETXXIAII:tSaHWt!Ƽ7+8jetsnalcut
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                    737: 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
                    738: 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
                    739: 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
                    740: 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
1.2     ! uid12904  741: yTT:rigger,79:5680:90he16:8580:34b-tagging,62:8380:92he10:5980:25ffWbT:ABLETXXVIAII:tSaHWt!Ƽdil&9eptonnalcut
o9wfortaustypAes1and2$2&E36bvݍ4şωffWY9Selection.Relativ9e(%)cCum9ulative(%)ΉffWSID-14:7380:34j:14:7380:34
1.1       uid12904  742: yTT:rigger,78:7881:08he11:6080:30b-tagging,63:6281:11jd7:3880:22ffW%#sNT:ABLETXXIX:tSaHWt!Ƽdil&9eptonnalcut
o9wfortaustypAe3.
1.2     ! uid12904  743: 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
1.1       uid12904  744: 􍍑tSaHWt!Ƽe8+jets>pn3:5480:02pG10:8080:209:0280:18ܾ5:5380:12
                    745: 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
                    746: 􍍑tSaHWt!Ƽe8+jets>pn3:5480:02sF2:2580:111:8880:09n1:1080:06
                    747: 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
                    748: T*ableUUbGelowsummarizesthenumbGerofeventsineachchannelafternalselection.516@^T:ABLETXXXIAI:Finaln9umberTofev9entsTinthet9woTanalysisc9hannels.K?=#?>'ff&XevYT%St9ypAeTI,IIjGSt9ypAeTI,II(tted)˰St9ypAeTIII&
                    749: ӼSt9ypAeTIII(tted)Ήff&Xevdatab
                    750: U386459
                    751: 􍍑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$121.22T0.43&B54.68T0.20tSaHWtlototalTtted5%133.04T17.09&33.12T15.04
1.2     ! uid12904  752: W&H+jetsO]17.82T0.3311.26T0.23Z+jetsQ\2.78T0.14o2.39T0.12LQCD5%232.35T17.09&412.22T15.04SignalTsignicance86.77&&y1.54S/BTratio80.52&&y0.08%2&E37j
        !           753: Thecrosssectionwasmeasuredbyminimizingthesumofthenegativelog-likelihoGodfunctionsforeach517binVofUbGoththetypes1Uand2channelandthetypGe3channel.ThesearefunctionsusedbyMINUIT=to518pGerform9tsshowninFigs:5and6inSectionVIII&B.LiButthereLwasfunctionof:f&(QCD)andnowwewant519toUUuseittomeasurethecrosssection,sowemustexpressitintermsof[ٲ(t'#&btR):520L(͠;x䍑~&N&i
׵;&N&obsi)l2`og[ٲ(Ytii<$x䍑O~N;&Nr,obsi;Yiwfe=  f&ϵN:&obs;Zi!,ߵe;1~&N&i@~)&((8)!&Hwherex䍑R~mHN&i=ġhȵBqR|Lhɵ(t'#&btr)&i+N&bk+Bg#ismGnumbGermHeventspredictedmHinbiniofthedataNNm
distributionandN^&obs;Zi521isbtheactualcountobservedinthatbin.RThecross-sectionisthentheminimumvqalueofeachafunction.RBut,522as2stressedoutinSection2VIGI,9wehavetotake2intoaccountbGothsignal(t'#&bt)andelectroweakcontamination523inkthekloGose-tightsamplewekusetomoGdelQCDkinthehighNNkregionusedforthemeasurement.:The524electroweakjcompGonentisksmallandthereforeitiskeptkxedduringthetandsubtractedfromtheloGose-525tightgsample.SHowever,
dasdicussedbGefore,thenumbGersforsignalcontaminationare5.4%and3.0%fortaus526typGes6B16Cand2andtypGe3respGectivelywhenweassumedat'#&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-sectionemeasurementonlymakessenseifthecross-sectionwe531measure{in{theandisthesameastheonewehaveassumed{tonormalizet'#&btKMC{samples.SThismeansthat532wed      hadd
        !           754: toiteratebackd
        !           755: bynormalizingthed
        !           756: signalsamplesuntilwefoundd
        !           757: aconvergenceofd
        !           758: thecross-section.533T*ableUUXXIGIIsummarizestheiterationprocess.534
ǟcff&Y&h
1.1       uid12904  759: ff٘AssumedTR(tVۍ &%teS)(pb)
                    760: ffXPsignalTcon9taminationfortypAes1&2(%)&h
                    761: ff&signalTcon9taminationfortypAe3(%)&h
                    762: ff&7measuredTR(tVۍ &%teS)(pb)&h
                    763: ffΉff&ffff&&h
                    764: ff"
٘7.46
                    765: ff5.4OF\&h
                    766: ff&E3.0Du"&h
                    767: ff&8.37#k&h
                    768: ffff&&h
                    769: ff"
٘8.37
                    770: ff6.1OF\&h
                    771: ff&E3.3Du"&h
                    772: ff&8.42#k&h
                    773: ffff&&h
                    774: ff"
٘8.42
                    775: ff6.2OF\&h
                    776: ff&E3.4Du"&h
                    777: ff&8.46#k&h
                    778: ffff&&h
                    779: ff"
٘8.46
                    780: ff6.2OF\&h
                    781: ff&E3.4Du"&h
                    782: ff&8.46#k&h
                    783: ffff&*Ǎ_T:ABLETXXXIAII:Cross-sectioniterationprocess.!N9
1.2     ! uid12904  784: T*ableabGoveshowsthatwhenweassumedacross-sectionof8.46pbwemeasuredtheexactsamevqalue,535which,meansthat+wehadtotake+intoaccountsignalcontaminations+of6.2%(14.40events)+and3.4%(14.02536events)(fortaus(typGes1and2and3respGectively*.bThisrepresents(anincreaseinthenumbGerof(signalevents537ofˠ10.82%fortypGes1and2and42.33%for˟typGe3.CByconsideringsuchevents˟aspartofthesignalt'#&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:ThecorrespGondentlikelihoodsofthesemeasurementsareshowninFigures19,20and21.IFigures22,23540andUU24showzoGomedingraphsofthesamelikelihoGodUUfunctionsdescribGedabove.541
        !           785: AllUUassoGciatedsystematicsconcerningthismeasurementcanbeseeninT*ableXXXVI.542&(ɠ2&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{ڍ~HPSfile="plots2/type123_llhood.eps" llx=0 lly=0 urx=567 ury=381 rwi=2154 fFIG.T21:pTheloglik9elihoAodTfunctionforallthreetypAescombined'@2&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(CG2&E40j
        !           786: Aftermeasuringthecombinedcrosssectionweobservedasignicanthigherstatisticaluncertaintyvqalueif543comparedtotheoneweexpGectedtoseebasedonthefactthatwehaveapproximately5timesmoredatathan544in3rp17,:9where3qthesignalcontaminationwas3qnottakenintoaccount3q(seeAppGendixG).f{F*urtherinvestigation545showedAthatthe@cutNNelec>0.9appliedtotaustypGe2onlywasrespGonsibleforsuchdiscrepancy*.Below546weUUshowthesamemeasurementasdoneabGovebutnowwithnoNNeleccutapplied.547
1.1       uid12904  787: T*ableUUbGelowsummarizesthenumbGerofeventsineachchannelafternalselection.548@]/T:ABLETXXXIV:Finaln9umbAerTofev9entsTinthet9woTanalysisc9hannels.K?:@>'ff&]tYV^$St9ypAeTI,II
                    788: ESt9ypAeTI,II(tted)kSt9ypAeTIII&ѼSt9ypAeTIII(tted)Ήff&]tdatadZT583?459
                    789: 􍍑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
                    790: 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(>
                    791: T*ableUUbGelowshowstheiterationproGcessinthiscaseandandthecrosssectionmeasurementfollows:549
ǟcff&Y&h
                    792: ff٘AssumedTR(tVۍ &%teS)(pb)
                    793: ffXPsignalTcon9taminationfortypAes1&2(%)&h
                    794: ff&signalTcon9taminationfortypAe3(%)&h
                    795: ff&7measuredTR(tVۍ &%teS)(pb)&h
                    796: ffΉff&ffff&&h
                    797: ff"
٘7.46
                    798: ff6.0OF\&h
                    799: ff&E3.0Du"&h
                    800: ff&6.84#k&h
                    801: ffff&&h
                    802: ff"
٘6.84
                    803: ff5.4OF\&h
                    804: ff&E2.7Du"&h
                    805: ff&6.91#k&h
                    806: ffff&&h
                    807: ff"
٘6.91
                    808: ff5.5OF\&h
                    809: ff&E2.8Du"&h
                    810: ff&6.92#k&h
                    811: ffff&&h
                    812: ff"
٘6.92
                    813: ff5.5OF\&h
                    814: ff&E2.8Du"&h
                    815: ff&6.92#k&h
                    816: 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;
1.2     ! uid12904  817: Aswecanseethestatisticaluncertaintydecreasesto0.54pbwhichisinagoGodagreementtowhatwe550would%gexpGectifcomparedto1.2pbmeasuredin%hp17.aAppendixGshowscrosssectionsmeasurementswhen551signalcontaminationisnottakenintoaccountforbGothNNelec>0.9andnoNNeleccutapplied.@Onceagain552weUUobservedadiscrepancywhenNNelecisappliedandtheexpGectedvqaluewhenNNelecisnotapplied.553)Eؠ2&E41j6tXI.ߠSYSTEMATICUNCERTAINTIES554
        !           818: Severalfactorscontributetosystematicuncertaintiesinthemeasurement.>HerewedescribGesuchuncer-555tainties.556!C%کA.
        !           819: ^JES557Thetjettenergyscale(JES)tzsystematicisdeterminedbyshitingthejetenergyscaleby1НinallMC558samples.559!C%!B.
        !           820: ^TES560TheWtauenergyscaleW(TES)systematicisdeterminedbyshitingthetauenergyscalebyitsuncertaintyas561givenUUin[36
1.1       uid12904  821: ].562!C%,C.
1.2     ! uid12904  822: ^JetEnergyResolutionandJetID563The͓jetenergy͒resolution(JER)tsystematicisdeterminedbyshitingthejetenergyresolutionby1)lin564allUUMCsamples.565!C%D.
        !           823: ^Trigger566EachjneventjowascorrectedjobythejoratiooftheactualandpredictedtriggerresultasafunctionofH&TL,owhich567wasUUusedbasedonthefactthattheagreementvqariesasfunctionofit.568!C%hE.
1.1       uid12904  824: ^b-quarkfragmenCtation569Thisc'uncertaintyisestimatedusingthestandardproGceduredescribedin[17
                    825: ]byreweightingt'#&bteventsusing570dierentUUfragmentationfunctions.571!C%uF.
1.2     ! uid12904  826: ^b-tagging572b-tagginguncertaintyeectsaretakenintoaccountbyvqaryingthesystematicandstatisticalerrorsonthe573MCUUtaggingweights.574
        !           827: TheseϹerrorsϺ(whicharecomputedusingstandardDbIDϙgrouptoGols)ariseformseveralindepGendent575sourcesUU[27
        !           828: ]:576B-jetUUtaggingparameterization.577C-jetUUtaggingparameterization.578LightUUjettaggingparameterization(negativetagrate).579Semi-leptonicUUb-taggingeciencyparameterizationinMCandindata(System8).580T*aggability.gThisiincludesithestatisticalerrorduetonitestatisticinthesamplesfromwhichithad581bGeenUUderivedandsystematic,re
ectingthe(neglected)taggabilitydepGendenceonthejetmultiplicity*.582*W2&E42jEG.
        !           829: ^ĝIDsystematics583HereweincludesystematicsassoGciatedtotheNNqcut(NNr>0.90fortaustypGes1and2andNNq>0.95for584taustypGe3)appliedtoselecthadronictaus.EAsrecommendedbythe&!Dz-IDѽgroupthesesystematicsare9.5%,5853.5%+and5.0%for,taustypGe1,١2and3respectively*.JHowever+inthisanalysiswechose,treattaustypGes1586andUU2together.qThisledustocombinetheiruncertaintiesinthefollowingway587sy[s&12?=7q7feE2.ɍ:2l1S8f:&2l1+:2l2f:&2l2&((9)\wheree&1\and&2[aretheeIDeecienciesfortaustypGes1and2respGectivelyandf&1[andf&2areethefractions588ofUUtaustypGes1(0.16)and2(0.84)respectively*.589!C%H.
1.1       uid12904  830: ^QCDsystematics590
1.2     ! uid12904  831: As7explained6inthesectionVIGII&A7weusethecontrol(b-veto)data6settovqalidateourmethoGdofmoGdeling591themultijetbackground.LThereforewehavetousethesamesampletoevqaluatetheassoGciateduncertainties.592Thed'wayd&itwasd&doneisbyreweightingtopGologicald&eventNNd"forQCDd#templated&(\loGose-tight"&!Dz),gsod&thatit593matchesUUtheonefor\tight"wdataexactly(electroweakbGeckgroundsweresubtracted).594!C%NI.
1.1       uid12904  832: ^WandZscalefactors595
1.2     ! uid12904  833: W*eSapplyaSascalefactorof1.47tobGothW+bbandW+cceventsSwithanuncertaintySof15%.qCAtthe596sametimeascalesfactorsof1.52and1.67areappliedtoZ+bbandZ+ccevents,բbGothwithanuncertainty597ofUU20%.598!C%qJ.
1.1       uid12904  834: ^Templatestatistics599
1.2     ! uid12904  835: When܄we܅pGerformedthetemplatettodata(SectionVIGII)܄theQCDftemplatehadlimitedstatistics(1132600events)for(taustypGes1and2and4487eventsfor)taustypGe3).BW*ehaveto)takethe(statisticaluncertainty601inthishistogramasoneofthecrosssectionsystematics.Itwascalculatedbyvqaryingthecontentofeach602bin\of\theQCD\templateNNdistributionwithinits\uncertainty\andobservinghowthecrosssectionresult603changed.604!C%~G0K.
1.1       uid12904  836: ^tVۍ &%tconCtaminationintheloKose-tightsample605
1.2     ! uid12904  837: WhenZmeasuringthecross-sectionwehadtotake[intoaccountthesignalcontaminationintheloGose-tight606sampleweusetomoGdelQCDɢinthehighNNregion.CBThesystematicuncertaintyinthiscaseiscalculatedby607vqaryingthenalassumedcrosssectionby1[ٲ,֔re-estimatingthesignalcontaminationandnallymeasuring608theUUupanddownvqaluesofthecrosssection.609!C%L.
1.1       uid12904  838: ^PDF610
1.2     ! uid12904  839: SystematicsyonPartonyDistributionF*unctions(PDF)yEareestimatedbyreweightingsignalt'#&btMCyDfrom611CTEQ6L1ŗtoCTEQ6.1manditstwentyŗerrorPDF's.ŽThereweightingŗofthePDF'sisdonebyusing612FcafEff&fǫpdfreweight/packqage.toGolonPythiat'#&btDMC.W*ethenassignedtherelativePDFuncertainty/obtained613withUUPythiaontheAlpgent'#&btDzMC.614+b%2&E43jM.
1.1       uid12904  840: ^LuminositCy615
                    841: HereUUwetaketheDstandardmeasureduncertaintyonluminosityof6.1%.616
1.2     ! uid12904  842: T*ables6XXXVI7andXXXVIGIsummarizealloftheseuncertainty6sourcesandshowshow6theresultingcross617sectionUUshifts.618OT:ABLETXXXVI:Systematicuncertain9tiesonR(tVۍ &%tW)(inpb)forNNelec>0.9.Vs,ak-3:ff&YhChannelX*&2cmmi8r+jetsXtÎyp<res1and2P<r+jetsXtÎyp<re3~ComÎbined
1.1       uid12904  843: 
                    844: 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
                    845: 
1.2     ! uid12904  846: 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,rH2&E44jp @)0  f&z&@=`[1]cJ.TA.Coarasa,J.Guasc9h,andJ.Sola,RepAortNo.UAB-FT-451,1999,hep-ph/9903212619
        !           847: [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:ageneratorforhardm9ultiparton_proAcessinhadroniccollisions",JHEPX0307,625c001T(2003);626[8]cT.`Sjostrand,rP:.Eden,rC.FribAerg,rL.Lonn9blad,G.Miu,rS.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.Hamacher,andD.Wicke,ReweightingNofNthefragmentationfunctionfortheDMonte637cCarlo,TDNote5325.638[18]cN.TMak9ovecandJ.F.Griv|raz,Shiting,N<smearing,andremovingsimulatedjets,TDNote4914.639[19]cSearch$FJor#MSSMHiggsBosonProductionin$theDecay$hƾ!&hadCwiththe#DDetectoratatqp
        !           848: vqaHqr1:96+YTJeV,…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+Busatoy*andJ.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|ofthe}top-antitopquarkpairproductioncross}sectioninproton-antiprotoncolxlisions}atqp
1.1       uid12904  849: ΟqaHqr1:96.
1.2     ! uid12904  850: TJeV659cinN<thelepton+jetsnalstate,TDNote5262660[36]cJhttp://www-d0.hef.kun.nl//fullAgenda.php?ida=a092001&fid=57.661[37]cD Search¡forNeutral¡HiggsBosonsathightan:inthenalstate&hڪbwith4.3fb-=1
`ofRÎun2bData,D662cNoteT6077.663[38]cJhttp://sc9hwind.home.cern.ch/schwind/MLPt.html664-Ԡ2&E45jpAPPENDIXA:TRIGGEREFFICIENCIES665InthisappGendixwepresentthetriggerweightdistributionsofallMCsamplesfordierentnumbGersof666b-taggedUUjets.qThesearetheweightUUdistributionswereferredtoinSectionsIGI&AandIII.667!C%y1.
1.1       uid12904  851: ^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.
1.2     ! uid12904  852: ^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..)2&E46jV3.
1.1       uid12904  853: ^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.
1.2     ! uid12904  854: ^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./2&E47j5.
1.1       uid12904  855: ^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.
1.2     ! uid12904  856: ^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.0ՠ2&E48jao7.
1.1       uid12904  857: ^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
                    858: 8.
1.2     ! uid12904  859: ^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.
1.1       uid12904  860: ^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.
1.2     ! uid12904  861: ^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.2g2&E50jpJ11.
1.1       uid12904  862: ^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.
1.2     ! uid12904  863: ^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.3)2&E51jo13.
1.1       uid12904  864: ^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.
1.2     ! uid12904  865: ^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.
1.1       uid12904  866: ^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.
1.2     ! uid12904  867: ^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.52&E53jo}e17.
1.1       uid12904  868: ^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.
1.2     ! uid12904  869: ^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.62&E54jo$19.
1.1       uid12904  870: ^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.
1.2     ! uid12904  871: ^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~3JT15Lff1뎎IPff1뎎VX688HereYitisYshownallturn-oncurvesforallYthreelevelsofthetriggerJT2ff3JT15LffIPffVXYjasYdescribGedin689SectionUUIGII.6907ĭ2&E55j[D1.
        !           872: ^LevCel1jetturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX691v3CPSfile="lowLum/l1jetspt8.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           873: EC(a)p&X.T8Z>X8GeVyDPSfile="lowLum/l1jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           874: *x(b)p&X.T8Z>X15GeV&0"DPSfile="lowLum/l1jetspt30.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           875: &Us(c)p&X.T8Z>X30GeV"rFIG.T45:pLev9el1jetturn-oncurves,lowluminosity:.82&E563CPSfile="medLum/l1jetspt8.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           876: EC(a)p&X.T8Z>X8GeVyDPSfile="medLum/l1jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           877: *x(b)p&X.T8Z>X15GeV&0"DPSfile="medLum/l1jetspt30.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           878: &Us(c)p&X.T8Z>X30GeV"yFIG.T46:pLev9el1jetturn-oncurves,mediumluminosity:.vQ3DPSfile="highLum/l1jetspt8.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           879: EC(a)p&X.T8Z>X8GeVyEPSfile="highLum/l1jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           880: *x(b)p&X.T8Z>X15GeV&0"EPSfile="highLum/l1jetspt30.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           881: &Us(c)p&X.T8Z>X30GeVFIG.T47:pLev9el1jetturn-oncurves,highluminosity:.9ɠ2&E57j[D2.
        !           882: ^LevCel2jetturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX692v3CPSfile="lowLum/l2jetspt8.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           883: 'O(a)LoÎwXluminosityp&X.T8Z>8GeVyCPSfile="medLum/l2jetspt8.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           884: (b)MediumXluminositÎyp&X.T8Z>8GeV&0"DPSfile="highLum/l2jetspt8.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           885: &9S(c)highXluminositÎyp&X.T8Z>8GeV"IPFIG.T48:pLev9el2p&Tm>8GeVjetsturn-oncurves./C%Zֺ3.
        !           886: ^LevCel2H&T    hturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX693c@PSfile="lowLum/l2ht75.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           887: (a)H&X.T8Z>X75GeVkNAPSfile="lowLum/l2ht100.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           888: &
0(b)H&X.T8Z>X100GeV7dFIG.T49:pL2H&T:turn-oncurv9es,lowluminosity:.vQc@PSfile="medLum/l2ht75.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           889: (a)H&X.T8Z>X75GeVkNAPSfile="medLum/l2ht100.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           890: &
0(b)H&X.T8Z>X100GeVFIG.T50:pL2H&T:turn-oncurv9es,mediumluminosity:.:Ѳ2&E58ـcAPSfile="highLum/l2ht75.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           891: (a)H&X.T8Z>X75GeVkNBPSfile="highLum/l2ht100.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           892: &
0(b)H&X.T8Z>X100GeV"JFIG.T51:pL2H&T:turn-oncurv9es,highluminosity:.[T4.
        !           893: ^LevCel26|rE&T      hturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX694vcBPSfile="lowLum/l2mhtv15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           894: m(a)6E&X.T>>X10GeVkNBPSfile="lowLum/l2mhtv16.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           895: &(b)6E&X.T>>X20GeV"AFIG.T52:pL26|rE&T:turn-oncurv9es,lowluminosity:.vQcBPSfile="medLum/l2mhtv15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           896: m(a)6E&X.T>>X10GeVkNBPSfile="medLum/l2mhtv16.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           897: &(b)6E&X.T>>X20GeVFIG.T53:pL26|rE&T:turn-oncurv9es,mediumluminosity:.;ܠ2&E59ـcCPSfile="highLum/l2mhtv15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           898: m(a)6E&X.T>>X10GeVkNCPSfile="highLum/l2mhtv16.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           899: &(b)6E&X.T>>X20GeV"FIG.T54:pL26|rE&T:turn-oncurv9es,highluminosity:.I{5.
        !           900: ^LevCel2SphericityturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX695v3APSfile="lowLum/l2spher.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           901: "(a)SphericitÎyX>0.1turn-oncurve,        G&loÎwXluminosityyAPSfile="lowLum/l2spher.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           902: (b)SphericitÎyX>0.1turn-oncurve,        3ZmediumXluminositÎy&0"APSfile="medLum/l2spher.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           903: &4fJ(c)SphericitÎyX>0.1turn-oncurve,        &VhighXluminositÎy+9)FIG.T55:pL2Sphericit9yturn-oncurves./C%Qe]6.
        !           904: ^LevCel2STTIPturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX696cGPSfile="lowLum/l2stt01taglol.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           905: d(a)L2STTIPJ,X0and1tighÎtNNtagskNGPSfile="lowLum/l2stt23taglol.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           906: (b)L2STTIPJ,X2and3tighÎtNNtags#@FIG.W56:L2STTIPWeciencyinthelo9wluminosityrange..Left:eventswith0(red)and1(black)tightNNWb-tags.
        !           907: Righ9t:peventsTwith2(red)and3(blac9k)tightNNb-tags.<2&E60cDPSfile="medLum/l2stt01tag.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           908: d(a)L2STTIPJ,X0and1tighÎtNNtagskNDPSfile="medLum/l2stt23tag.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           909: (b)L2STTIPJ,X2and3tighÎtNNtags#@FIG.57:*L2STTIP|eciencyinthemediumluminosit9yrange.Left:)eventswith0(red)and1(black)tightNN
        !           910: b-tags.pRigh9t:eventsTwith2(red)and3(black)tightNNb-tags.cHPSfile="highLum/l2stt01taghil.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           911: d(a)L2STTIPJ,X0and1tighÎtNNtagskNHPSfile="highLum/l2stt23taghil.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           912: (b)L2STTIPJ,X2and3tighÎtNNtags#@FIG.,58:K L2STTIP,eciencyinthehighluminosit9yrange.byLeft:ev9ents,with0(red)and1,(blac9k)tightNN,b-tags.
1.1       uid12904  913: Righ9t:peventsTwith2(red)and3(blac9k)tightNNb-tags.[D7.
1.2     ! uid12904  914: ^LevCel3jetturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX697vcDPSfile="lowLum/l3jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           915: (a)p&X.T8Z>X15GeVkNDPSfile="lowLum/l3jetspt25.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           916: &M(b)p&X.T8Z>X25GeV"չFIG.T59:pL3jetturn-oncurv9es,lowluminosity:.=2&E61cDPSfile="medLum/l3jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           917: (a)p&X.T8Z>X15GeVkNDPSfile="medLum/l3jetspt25.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           918: &M(b)p&X.T8Z>X25GeV"RFIG.T60:pL3jetturn-oncurv9es,mediumluminosity:.vQcEPSfile="highLum/l3jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           919: (a)p&X.T8Z>X15GeVkNEPSfile="highLum/l3jetspt25.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 
        !           920: &M(b)p&X.T8Z>X25GeVƀFIG.T61:pL3jetturn-oncurv9es,highluminosity:./C%aO8.
        !           921: ^LevCel3b-tagoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX698i
*w[HPSfile="lowLum/l3btag01taglol.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 
        !           922: [(a)0Xand1b-tags.kNHPSfile="lowLum/l3btag23taglol.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 
        !           923: &P(b)2Xand3b-tags.#@FIG.62:*(a)EciencyoftheL3b-tag(Lev9el3Eventȼb-tag<0.4)forthelo9wluminosityrangeintriggerlistv15.BThe
        !           924: selected <ev9entspassedtherestofthetriggerandoineevent ;selectionandhadzero(red)orone(black)oineNN(TIGHT)Tb-tags.p(b)Sameforev9entsTwith2(red)and3(blac9k)oineNN(TIGHT)b-tags.>Y2&E627w[EPSfile="medLum/l3btag01tag.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 
        !           925: [(a)0Xand1b-tags.kNDPSfile="medLum/l3btag2tag.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 
        !           926: &P(b)2Xand3b-tags.#@FIG.63:(a)EciencyoftheL3b-tag(Lev9el3Eventb-tag<̹0.4)forthemediumluminosit9yrangeintriggerlistv15.
        !           927: Theselectedev9entspassedtherestofthetriggerandoineev9entselectionandhadzero(red)orone(blac9k)oineNNT(TIGHT)b-tags.p(b)Sameforev9entsTwith2(red)and3(blac9k)oineNN(TIGHT)b-tags.iS7w[IPSfile="highLum/l3btag01taghil.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 [(a)0Xand1b-tags.kNIPSfile="highLum/l3btag23taghil.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 &P(b)2Xand3b-tags.FIG.e64:(a)EciencyoftheL3b-tag(Lev9el3Eventb-tag<0.4)forthehighluminosityrangeintriggerlistv15.Theselected <ev9entspassedtherestofthetriggerandoineevent ;selectionandhadzero(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 (a)0Xand1b-tags.kNSPSfile="lowLum/l3btag2tagv16lol.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 rhi=1133 &P<(b)2Xand3b-tags.FIG.65:*(a)EciencyoftheL3b-tag(Lev9el3Eventȼb-tag<0.4)forthelo9wluminosityrangeintriggerlistv16.BTheselected <ev9entspassedtherestofthetriggerandoineevent ;selectionandhadzero(red)orone(black)oineNN(TIGHT)Tb-tags.p(b)Sameforev9entsTwith2(red)and3(blac9k)oineNN(TIGHT)b-tags.?^2&E63OYÀwQPSfile="medLum/l3btag01tagv16.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 rhi=1133 
        !           928: (a)0Xand1b-tags.kNPPSfile="medLum/l3btag2tagv16.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 rhi=1133 
        !           929: &P<(b)2Xand3b-tags.#@FIG.66:(a)EciencyoftheL3b-tag(Lev9el3Eventb-tag<̹0.4)forthemediumluminosit9yrangeintriggerlistv16.
        !           930: Theselectedev9entspassedtherestofthetriggerandoineev9entselectionandhadzero(red)orone(blac9k)oineNNT(TIGHT)b-tags.p(b)Sameforev9entsTwith2(red)and3(blac9k)oineNN(TIGHT)b-tags.&MÀwUPSfile="highLum/l3btag01tagv16hil.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 rhi=1133 
        !           931: (a)0Xand1b-tags.kNTPSfile="highLum/l3btag2tagv16hil.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 rhi=1133 
        !           932: &P<(b)2Xand3b-tags.#@FIG.e67:(a)EciencyoftheL3b-tag(Lev9el3Eventb-tag<0.4)forthehighluminosityrangeintriggerlistv16.The
        !           933: selected <ev9entspassedtherestofthetriggerandoineevent ;selectionandhadzero(red)orone(black)oineNN(TIGHT)Tb-tags.p(b)Sameforev9entsTwith2(red)and3(blac9k)oineNN(TIGHT)b-tags.@@2&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.AԠ2&E65jAPPENDIXD:SETOPTIMIZATION702InthisappGendixitisshownplotsofthegureofmerit(Equation6)usedtoperformtheNNvqariablesset703optimizationUUasdescribGedinSectionVIII&C.704B&2&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.CR2&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.E 2&E69jAPPENDIXG:CRCOSSSECTIONMEASUREMENTSWHENSIGNALCONTAMINATIONIS709
1.1       uid12904  934: IGNORED710InthisappGendixitisshownplotsofthegureofmerit(Equation6)usedtoperformtheNNvqariablesset711optimizationUUasdescribGedinSectionVIII&C.712!C%a1.
                    935: ^ResultsforSet=metl,H&T,topmassl,aplan,sqrts,metl>4.0,lumi=4951.86/pb,VCCjetsand713׺NNelecʼ>0.9714
                    936: T*ableUUbGelowsummarizesthenumbGerofeventsineachchannelafternalselection.715@YT:ABLETXXXVIAII:Finaln9umbAerofeventsinthetwoanalysischannels.K?=#?>'ff&XevYT%St9ypAeTI,IIjGSt9ypAeTI,II(tted)˰St9ypAeTIII&
                    937: ӼSt9ypAeTIII(tted)Ήff&Xevdatab
                    938: U386459
                    939: 􍍑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$121.22T0.43&B54.68T0.20tSaHWtlototalTtted5%133.04T17.09&33.12T15.04
                    940: W&H+jetsO]17.82T0.3311.26T0.23Z+jetsQ\2.78T0.14o2.39T0.12LQCD5%232.35T17.09&412.22T15.04SignalTsignicance86.77&&y1.54S/BTratio80.52&&y0.08Z(>
1.2     ! uid12904  941: Without^taking^intoaccountthesignal^contaminationtheresult^is(onlystatisticaluncertainties^areshown)716յ&!Dz+jetsUUtypGes1and2crosssection:[ٲ(t7ferYɍtr)=8:05䍑0+1:0401:02 1(stat)80:30(lumiq)pb;I&!Dz+jetsUUtypGe3crosssection:[ٲ(t7ferYɍtr)=4:24䍑0+1:9401:80 1(stat)80:30(lumiq)pb;kICombinedUUcrosssection:[ٲ(t7ferYɍtr)=7:26䍑0+0:9200:92 1(stat)80:30(lumiq)pb;F2&E70ja2.
1.1       uid12904  942: ^ResultsforSet=metl,H&T,topmassl,aplan,sqrts,metl>4.0,lumi=4951.86/pb,VCCjetsand717
                    943: BYnoNNeleccut718
                    944: T*ableUUbGelowsummarizesthenumbGerofeventsineachchannelafternalselection.719@]/T:ABLETXXXIX:Finaln9umbAerTofev9entsTinthet9woTanalysisc9hannels.K?:@>'ff&]tYV^$St9ypAeTI,II
                    945: ESt9ypAeTI,II(tted)kSt9ypAeTIII&ѼSt9ypAeTIII(tted)Ήff&]tdatadZT583?459
                    946: 􍍑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
                    947: 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(>
1.2     ! uid12904  948: Without^taking^intoaccountthesignal^contaminationtheresult^is(onlystatisticaluncertainties^areshown)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;d&;&GFJߤN         cmtt9IF
C
1.1       uid12904  949: 
                    950: cmbxti10F<x
                    951: 
                    952: cmtt10E':
                    953: 
                    954: cmti10?"V
                    955: 
                    956: cmbx10:#cmex79j      cmti98s6cmss8,Kcmsy8+!",
                    957: cmsy10*&2cmmi8)gcmmi12(|{Ycmr8'Ncmbx12&XQcmr12#g$-R         cmbsy9!1cmmib6 W6      cmmib9q%cmsy6       cmsy9;cmmi65"        cmmi9Aacmr6t:         cmbx9o             cmr9
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                    958: 
                    959: cmsy10O!cmsy70ncmsy5
                    960: b>
                    961: 
                    962: cmmi10    0ercmmi7O
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                    963: 
                    964: cmr10ٓRcmr7Zcmr5u
                    965: 
1.2     ! uid12904  966: cmex10'

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