; TeX output 2011.05.18:23042BPSfile="plots/d0logo.eps" llx=206 lly=343 urx=406 ury=449 rwi=800 Rt : cmbx9D0NoteXXXXVersion1.9tdlF'N cmbx12Measurementof)g cmmi12n9&XQ cmr12(pp :+!", cmsy10!URt$)6܍t>6X)in+jetschannelusing5.0fb2,K cmsy8(|{Ycmr81|ofdataW8s6cmss81Pύ2%K`y cmr10DhimanChakrabGorty(NIU),PhillipGutierrez(Oklahoma),DiegoMenezes(NIU)W2󍍒o cmr9(Dated:pMa9yT18,2011)W3mo, This"notepresen9ts"anewmeasurementof"5" cmmi9pDZpL cmsy9!V."AnalysisoutlineiŹ14VI."Preselection|U14OVIKI."bʺandĝselectionsaL17VIKII."NeuralNetCworkAnalysis?h21s%A.,tV:ariablesTforNNtraining='21բB.,tT:opAologicalTNNe921C.,tNNToptimization`x;24IX."TopKologicalvhariablesS29s%A.,tSignalTsampleplotsV829բB.,tb-v9etoTcontrolsampleplots6tc32 >X."Crosssectionw35XI."SystematicuncertainCtiesB|}41s%A.,tJES41բB.,tTES/41C.,tJetTEnergyResolutionandJetID#41RD.,tT:rigger8W41iE.,tb-quarkTfragmen9tationIL41Y0F.,tb-tagging~41 G.,tM'IDTsystematics_M42s%H.,tQCDTsystematics^ ;42" I.,tWTandZscalefactorsK'42 J.,tT:emplateTstatisticsWӞ421^K.,ttVۍ %tlocon9taminationTintheloAose-tightsamplea42L.,tPDF42{M.,tLuminosit9yv43"ʺReferences44 >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:riggerTEcienciesforWHjjI+8jetsZϹ47 7.,tT:riggerTEcienciesforWHbb8+jetso48 8.,tT:riggerTEcienciesforWHcc8+jets48 9.,tT:riggerTEcienciesforZjjI+8jetsƾ!ee+jjI+jets߹492F3j"ʹ10.,tT:riggerTEcienciesforZbb8+jetsƾ!ee8+bb+jetsU49 "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.,tLev9elT2HT:turnoncurvesfortriggerJT2ffgTy3JT15LffgIPffgVXMn57 4.,tLev9elT26|rET:turnoncurvesfortriggerJT2ffgTy3JT15LffgIPffgVX)58 5.,tLev9elT2SphericityturnoncurvesfortriggerJT2ffgTy3JT15LffgIPffgVX159 6.,tLev9elT2STTIPturnoncurvesfortriggerJT2ffgTy3JT15LffgIPffgVX59 7.,tLev9elT3jetturnoncurvesfortriggerJT2ffgTy3JT15LffgIPffgVXFP60 8.,tLev9elT3b-tagoncurvesfortriggerJT2ffgTy3JT15LffgIPffgVXQ61 mC."DiscriminanCtvhariablesLG64 D."Setoptimizationg65 VE."SetoptimizationconCtinued7J67 F."ʾ6|rET hsigni canceoptimization2768 NG."CrosssectionmeasuremenCtswhensignalcontaminationisignoredf69 1.,tResultsforSet=metl,ҼHT,topmassl,aplan,sqrts,metl>4.0,lumi=4951.86/pb,V9CjetsandNNelec,t>T0.9369 2.,tResultsTforSet=metl,HT,topmassl,aplan,sqrts,metl>4.0,lumi=4951.86/pb,V9Cjetsandno,tNNelecTcutwk702F4jvغI.INTRCODUCTIONW4Since׋its׊discoveryatthe׊F*ermilabTEVATRONicolliderin1995,the׊topquarkhasbGeenoneofthemostW5 impGortant}KtopicsinHigh}JEnergyPhysics.Thestudy}JofitsproGductionrateandproperties}JallowsustoW6pGerform&precisiontests%ofstandardmodel(SM)predictionsaswellasrepresentsa%chanceofobservingW7pGossiblej.deviationsj-fromsuchpredictions.PAmongstallsubsequentj-topdecays,odthej-proGcess b> cmmi10t !", cmsy10!׵Wcb!! 0ercmmi75bW8representsaoneoftheamostimpGortanttoGolsforprobingbeyond-SMaphysics. F*orainstance,theMSSM(MinimalW9SupGersymmetricStandardModel)[1]predictstheexistenceofthedecaytH!H^ٓRcmr7+sbifm"&HkZcmr5+ҍ 0ncmsy5<Hmt lmbD.[As101the0Higgs-fermion0couplingispropGortionaltothelatter'smass,g_thesubsequentdecay0ofachargedHiggs11bGoson0into1a leptonismuch1morefavoredthan1itsdecays1intoe'sand1's.NeTherefore,kforhigh0vqaluesoftan12 WW(thee+CVjets24andUUthepiechartoftopdecay*.qInSectionIGIwediscussorsignalandmainbackgrounds.25z4CPSfile="plots/feynman.eps" llx=73 lly=382 urx=522 ury=721 rwi=2245 WMFIG.T1:pF:eynmandiagramfortVۍ %t!Ƽ7+8jets. ٠2F5rԱ=PSfile="plots/pie.ps" llx=14 lly=14 urx=612 ury=792 rwi=2392 FIG.T2:pT:opquarkdeca9ypiechart. The@presentworkisthe@thirdmeasurementofthet'#btcrosssectionin@the15+njetschannelpGerformedwith26 theq!Ddetector.*Previousresults[2,x3x]usedusingq p14RunIqandp17RunIGIaDataandaresummarizedin27T*ableUUI(onlystatisticaluncertaintiesareshown).28"Dzff<&h ff٘DataTset(pb-=1 ) ffE=crossTsection(pb)&h ffΉfffactorsCandthenprovideacorrectnormalization.NThesecorrectionfactors69were(takenfromFY&h ff"0٘ProAcess"/ ffUyvk-factor&h ffΉffw>ffffw>&h ff٘WT+ligh9tpartons ff]41.3 Ÿ&h ffffw>&h ffR٘WT+bb ffQb[1.31.47&h ffffw>&h ffn٘WT+cc ffQb[1.31.47&h ffffw>&h ff'٘ZT+ligh9tpartons& ff]41.3 Ÿ&h ffffw>&h ffy٘ZT+bbx ffQb[1.31.52&h ffffw>&h ff٘ZT+cc ffQb[1.31.67&h ffffw>5ǍaT:ABLETIV:k-factorsforMC.9 AllMCsamplesusedinthisanalysisareshowninT*ableVwiththeirsrespGectivecrosssectionsandnumbGer81ofGevents.=nThecrosssectionsshownareHtheaveragesofthecross-sectionsHofeachsetofMC proGcessgenerated82andUUarecalculatedfrom/cafffmcffutil/mcffsampleffinfo/MC.list83TZ2F82]0Œff6Y&h ffIh٘Sample鱼R(pb)S#TofEv9ents&h ffΉff6硍&h ff 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Z8+82c+1l&9pƾ!q+82c+1lpffgTyexcla3.002712199012&h ff&h ff٘ Z8+82b+2l&9pƾ!q+82b+2lpffgTyincla1.63574696147&h ffff6玎K{kdT:ABLETV:MCSamples.pHerel;standsforthethreelepton a9vorT(e,and).Sdeca9ysarenotrestricted. iݠ2F9jD. ^MCsamplescorrections84 StandardUUDcorrectionsareappliedtoMCinordertoobtainabGetterMC-dataagreement[13 ].85 ?"V cmbx10T riggerFeciency:3anadditionalscalefactor(weight)isappliedtoMCخtoaccountforthetriggereciency86inUUdata.qF*urtherdetailsaregiveninSectionIGII.87Luminosit9y&xreweighting:inordertoreproGduceluminositye ectsfromrealdata,simulatedsamplesare88overlaidItoHZeroBiasdataDuetoadi erenceinintantaneousluminosityIbGetweentheHoverlayandHrealdata,89theUUluminositypro leofallMCsamplesisreweightedtomatchtheluminositypro leindata[14 ].90PrimaryVBv9ertexreweighting:Rz6 vertexqdistributionsraredi erentqbGetweendataandqMC.Thisdi erence91iscorrectedbyreweightingMCzowvertexdistributionsusingthereweightproGcessorfromtheFcafEff&fǫmcEff&futil92packqageUU[15 ].93WZ@andZpT Cgrew9eighting:iforPbGothPW+jetsandZ+jets,thepT distributionfromMCPsamplesis94reweightedUUtomatchtheequivqalentdistributionindata,accordinglytothestandardway[16 ].95bfragmen9tation: thejwsystematicsonjvthereweightjwoftheb-fragmentationfunctionfromthedefaultin96PythiatothevqaluetunedtoreproGducecolliderdatawasassumedtobGethesymmetrizeddi erencebetween97theUUAODandSLDtunes[17 ].98JetShiftingSmearingandRemo9ving(JSSR):)&duetodi erencesin)'energyscale,^resolution,recon-99structionandidenti cationbGetweendataandMC,MCjetsareshifted, smearedandpGossiblyremovedusing100standard}JSSR}proGcessor[18 ]._Inthisanalysisshiftingisturnedo tosignalt'#btOandontoWG=qZ4+jets101samples.102T au0EnergyScale(TES):DduetotheCanalysissensitivitytoanydi erencebGetweendataandMC/inthe103energy&scaleoftausdecayinghadronicallyweapplya%E=pcorrectiontothisenergyscaleasdescribGedin104[19 ].105!C%{IKII.TRIGGERPARAMETRIZATION106 AsaforementionedthetriggerusedinthisanalysisisJT2ff3JT15LffIPffVX.InbGothv15andv16trigger107versions,$thistriggerhas4termsatlevel2.]Currently*,$onlythreeofthese,$theL2HTL,$missingET eo(6qȵET)and108sphericitybasedbrancheshavebGeenmodelledbythehbbgroup[5].gaThereforethesearetheonesusedin109this<analysis.i[Themissing<termistheacoplanarityterm,Anamely*,AL2JET(1,20,2.4)L2HT(35,6)MJT(20,10)110L2ACOP(168.75),UUwhichisthesameinbGothv15andv15triggerlists.111 T*ableUUVIshowstheL1,L2andL3requirementsofthetrigger.112 Initswork,)thehbbgrouphasparametrizedthetriggerinthreeinstantaneousluminosity(10^32x)regions:113low(Lint<77),medium(77̵Lint<124)andhigh(Lint̲124). The nalgoalistomeasurethe114totaltriggereciencyforourevents.CInordertodosowetakeintoaccountbGoththetriggerprobabilities115andtheb-tagprobabilities.%Thus,thetriggerprobabilitiesfor0,1,2and3ormoreb-taggedjetsarethen116multiplied~bytheprobabilitiesof0,,1,,2and3ormorejetsbGeingtagged,,whicharethemselvesgotfrom117TRF's,UUasdescribGedinsectionIVD.118 The3trigger3eciencyiscomputedasaprobability(ET;rigWeight)whichwe3assoGciatetoeach3MC2event119with:120|"fP*=Pt0 8Pb0 9+Pt1Pb1 9+Pt2Pb2 9+Pt O!cmsy73Pb3((1)wherePti Y@isthetriggerprobabilityfortheeventifithasib-tagsandPbi .isinturntheprobabilityofhaving121 iUUb-tagsintheeventUUoinereconstruction.122123 Whatfollowsisabriefdescriptionofhowthetriggerprobabilitiesateachlevelwerecalculated.s%Single-124ob8jectturn-oncurvesweredeterminedusingmuontriggeredeventsfromtheTOPJETTRIGskim.>Some125turn-onUUcurvesarefoundinAppGendixB.qAmorecompletedescriptioncanbefoundin[5].126 u2E103/B37ffPMffffPMYLev9elv15ΉffPML1MCSWJT(3,8,3.2)CSWJT(2,15,2.4)CSWJT(1,30,2.4) 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)jzPV оjƼ<35cm>FHBT:A9G(0.4)ffPMYNamelJT2ffgTy3JT15LffgIPffgVXffPMffffPMP]=~37ffZ>ffffZ>YLev9elv16ΉffZ>L1S6CSWJT(3,8,3.2)CSWJT(2,15,2.4)CSWJT(1,30,2.4) 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)jzPV оjƼ<35cm>FHBT:A9G(0.4)ffZ>YNameJT2ffgTy3JT15LffgIPffgVXffZ>ffffZ>?㩍T:ABLEgnVI:gmLev9el-by-leveldescriptiongmoftriggerJT2ffgTy3JT15LffgIPffgVX.ThegmCSWJT(x,y:,z)termcorrespAondstoxL1 jetsabAo9veyGeVandwithinjRjƼyGeVEandFjRjƼyGeVcUisabAo9vecixGeV.TheSPHER(0.1)termrequirestheev9entcjsphericitycicalculatedfromL2jetstobAegreaterthan0.1.7TheMJT(x,y)termcorrespAondstoamissingtransv9erseenergy>xGeVncalculatedfromjetslwithET>yGeV.TheSTTIP(1,5.5,3)termrequiresoneL2STTltrac9kwithanimpactparametersigni cancegreater than orequaltothreeanda-=2m<ƹ5:5.KThejzPV оj<35cm>3hterm requirestheprimaryv9ertexreconstructedatL35>tobAewithin35cmofthecen9terofthedetector5=andtheBT:AG(0.4)termisusedonlyatL3andcorrespAondstoaTcutof0.4ontheprobabilit9yfortheeventtonotcontainab-quark.-dA. ^LevCel1127Level1consistsofjettermsonly:X1jetwithET Ƶ>30GeV andj[ٸj3<32:4,OasecondjetwithET Ƶ>15GeV128 andUUj[ٸj<2:4andathirdjetwithET ε>8GeVandj[ٸj<3:2.qThetotalL1probabilityisgivenby129'{@LʍPc(L1)+=[Pc(3jetsUW)8+P(=2jetsUW)P(1noiseUUjet$q)+P(=1jet c)P(2noiseUUjets(c)+P(=0jetsUW)P(3noiseUUjets(c)]V8[Pc(2jetsUW)+P(=1jet c)P(1noiseUUjet$q)+P(=0jetsUW)P(2noiseUUjets(c)]V8[Pc(1jet c)+P(=0jetsUW)P(1noiseUUjet$q)]ɍ((2)Ɏ'pzwherePc(dXxjets)istheprobabilityofhavingxormorejetspresentintheeventandPc(=dXxjets)is130the)yprobability)zofhaving)zexactlyxjetsintheevent. 5The)ytermEnoiseBjetsreferstoallthoseL1jets131that­didn'tmatchto®anoinejetwithinR;<'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-oncurvesparametrizedasfunctions134ofkqoinejetkppTc's.ThenumbGerkqofnoisejetskppereventkqwasparametrizedkpasafunctionofoineHTL.AllL1135turn-onUUcurvesarefoundinAppGendixB1.136 WϠB. ^LevCel2137Levelm#2partofthistriggerconsistsofanORmofthreeterms(hereclassi edasEtop,sEhbbandEmjt),seachwith138aUUvqariationforv15andv16:139|v15Ttop:-5G3UUjetswithpT ε>8GeV,2withpT>15GeV,1withpT>30GeVandHT>100GeV1401v16Ttop:-5G3$jets$withpT ε>8GeV,2withpT ε>15GeV,1withpT ε>30GeV,HT ε>75GeV$andSTTIPwith141IPSIGUU3and^2C<5:5.1422v15Th9bb:/q3UUjetswithpT ε>6GeV,HT>75GeVandsphericity>0.1143v16Th9bb:/q3jetswithpT ε>6GeV,HT>75GeV,sphericity>0.1andSTTIPwithIPSIG3and^2C<5:5.144 H2E11jv15Tmjt:.*3jetswithpT o>8GeV,2jetswithpT>15GeV,1jetwithpT o>30GeV,HT>75GeVand6ET145 >UU10GeV.146v16Tmjt:.*3jetswithpT o>8GeV,2jetswithpT>15GeV,1jetwithpT o>30GeV,HT>75GeVand6ET147>UU20GeV.148 F*orUUthislevelthenettriggerprobabilityis149"?@ ʍɵPc(L2)!W=Pc(hbb8[mht[top)!W=Pc(top)8+P(hbb)+P(mht)P(top\hbb)P(top\mht)P(hbb\mht)+P(hbb\mht\top)ɍ((3)!whereUUP(x)correspGondstotheprobabilityofeitherL2,themht,hbborthetopterm ring.150 Lev9el2jetterms:afrom3T*ableVIwe3seethatforv15triggerversion,:L2jetsterms3areactuallysubsetsof151L1.OAsv.herev-conditionalprobabilityisused,~citmeansthattheprobabilityofL2jetterms ringifL1terms152 redaisunity*.1Howeverainv16thebPtrequirementofjetsinthe rsttriggertermwasloGosenedfrom8to6153GeVNandhArequirementon8gGeVOjetsinthethirdtriggertermwastightenedhfromj[ٸjj<3:2tohj[ٸj<2:4.154As"in#theL1case,VallL2jetsmatchingoineoneshadtheirturn-oncurvesparametrizedasfunctionsof155oine=jet=pTL's,BWexceptfornoisejets,BWwhosenumbGerin=eachevent=whichparatrizedas=funcionsofoineHtV.156T*urn-onUUcurvesforthesecasesarefoundinAppGendixB2.157Lev9elς2σHT 8term:$this.term.consistsofacutofHT {>175GeV.forv15andHT {>`100GeV.forv16).158CorrespGondentUUturn-oncurvesareshowninAppGendixB3.159Lev9el?2>6ET Iterm:3thex correspGondent6ET cutsx are>10GeVxand>x20GeVforv15x andv16respGectively*.160TheirUUturn-onareshowninAppGendixB4.161L2ASphericit9yAT erm:1this"termrequiresasphericity!cutof>0.1.G CorrespGondingturn-oncurvesareshown162inUUAppGendixB5.163L2STT:DtheDL2STTIPDeciencywasmeasuredforeventsinv16DwhichhavepassedDtherestoftheL1,164L2}(L2topOR}L2hbb)andL3}(exceptL3b-tag)triggerrequirements}andtheoinethreeto vejetselec-165tion.Theםeciencywasלmeasuredversustheinvqariantלmassofthetwoלleadingjets,/separatelyfor0,.1,/2166and 3oinetightNNb-taggedevents,yin thethreedi erentluminosityregions.AppGendixB6showsthe167STTIP(1,5.5,3)+eciencyversustheleadinginvqariantdi-jetmassinthelow,mediumandhighluminosity168rangeUUfordi erentnumbGerofoineb-tags.169!C%ϐ2C. ^LevCel3170L3dconsistsdofajetpartandab-tagone.F*orthejetpartofL3,gturn-oncurvesweredetermineddforevents171passingUUbGothL1andL2requirements.qCorrespondingprobabilityisgiventheequationbGelow172@ ʍPc(L3)+=[Pc(3jetsUW)8+P(=2jetsUW)P(1noiseUUjet$q)+P(=1jet c)P(2noiseUUjets(c)+P(=0jetsUW)P(3noiseUUjets(c)]V8[Pc(2jetsUW)+P(=1jet c)P(1noiseUUjet$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-oncurvesareshowninAppGendixB1.175 Ecienciessfortheb-tagpartrofL3weremeasuredintwodi erentwaysrdepGendingwhetherthetriggerlist176was v15or v16.?YInthev15caseeventswere recordedwiththeJT2ff4JT20andJT2ff3JT12LffMM3ffVtriggers,177sinceI^theirL1I_andL2conditionswereexactlythesame.mEventsI^werefurtherI_requiredtopasstherestofL3178conditionsYofJT2ff3JT15LffIPffVXYandYtheoineeventYselection.Inthev16caseecienciesweremeasured179inasimilarfashion,+butusingtriggerJT4ff3JT15LffVX(whichhasnoL2STTorL3BT*AGrequirements).180Events`wereathenrequiredtohavea redoneofthethreeL2branchesofJT2ff3JT15LffIPffVXRandtoapassthe181oineUUthreeto vejetselection.qAllturn-oncurvesforbGothtriggerlistsarefoundinAppendixB8.182 !2E12jўIV.zOBJECTIDENTIFICATION183InUUthissectionwedescribGethemainob8jectsusedinthisstudy:qǸ6qȵET,jetsandhadronictaucandidates.184!c%ںA. ^Taus185T*ausarereconstructedintheDdetectorfromenergyinthecalorimeterandoneormoretracks.Thetau186 P\reconstructionyalgorithmyusesaconeofRʲ=n5u cmex10p n5fe*e ˍ` %2+8` 2:'m<0:5andaninnerconeofR<0:3isusedto187 calculateUUtauisolationvqariables.188 F*orUUus,themostimpGortantdiscriminatingvqariablesfor!Dz-leptonsare[20 ]:189poPro leUU-iErb}1O \cmmi5T+Erb}2Tɉfe$M.:#cmex7P L@i0.3andpT Fٵ>#10GeV/c,15GeVs2676qȵET UU500GeVand6ET signi cance>4.0.268!Dz-} and}b-ID}cuts(sectionVIGI):\atleastonegood}leptoncandidateandatleastonetightNN}b-tag269areUUrequired.270T*opGologicalhNNX(sectionVIIIB):Rafeed-forwardgNN'sistrainedinordertoprovidesignal-background271separation.yThe?NN'wasoptimized>bytesting?di erentsets?oftopGologicalvqariablesasitsinputsand272byUUapplyingdi erent6qȵET signi cancecuts.273T*opGologicalPVariablesO(sectionIX):sectionshowing nalanalysisplotsoftopGologicalvqariablesof274interest.275CrossSection(sectionX)Thesignalfractiondeterminationiscombinedwithintegratedluminosity276measurementYtoZcalculatethecrosssection.@tSystematicuncertaintiesaredeterminedby uctuatingthe277signi cantQcompGonentsupanddownbyoneQstandarddeviationoneatatime,RPpropagatingitthrough278theUUentireproGcedure.279!C%VI.͹GPRESELECTION280 TheSYpreselectionSXisthe rststepoftheanalysis.qThecutspresentedherewerechosenSXinordertoprovide281thebGestbackgroundreductionandenhancethet'#btBcontentatthispGoint.dThecutsarethesimilartothose282usedinthep17analysis[3]exceptthatforthistimeweoptedtooptimizethevqalueof6qȵET ]signi cancealong283withrthesetsrofvqariablesweusedasinputstoNNrtraining(SectionVIGII).iCutsrshownbelowrwereapplied284toUUsamplesshowninT*ableVaswellastodataasshowninSectionIGIA.285Atleast4jetswithpT >4915GeVand<2.5,/withleading(inpTL)jetpT >4:35GeVandsecondand286thirdUUjetshaveUUpT ε>25GeV287atUUleastonewwithNN>0.3andpT ε>10GeV28815UUGeV6qȵET 500GeV2896qȵET signi canceUU4.0290Noisolatedelectronormuon.ThisisdoneinordertoensureorthogonalitywithotherDmeasure-291ments/([31 ]/and[32])-/events/thatpasstheleptonpreselectioncutsfromthesemeasurementswere292vetoGed.Also$eventsthat$passtheall-jetsanalysispreselectioncuts(describGedinthealljetanalysis293noteUU[33 ])arerejectedhere.294 Amongf!allpreselectionf cutsoneofthemrequiresamoredetaileddescriptionatthispGointsinceitrepresents295an^improvement^upGontheoldp17analysis:6,ET lsigni cance.Missingtransverseenergysigni canceisa296measure;of4namely*,>5ecienciesmust8lbGeproperlyscaled8ltotheluminosity(4951.85pb^1 t)ofthesample.314T*ablesUUVIandIGIIUUshowthenumbGerbeforementionedfort'#btc!lepton+jetsandt'#bt!dileptonrespGectively*.315&dh.6ffY&h ff{٘ProAcess ffL#Tofev9ents&h ff64cross-sectionT(pb)&h ffʴalpgenTw9eight&h ffΉffffff롍&h ff٘0Tligh9tparton ffUf777068 Gs&h ffq1.4=&h ffL0.00892&h ffff롍&h ff٘1Tligh9tparton ffUf457782 Gs&h ff9s0.577?&h ffL0.00624&h ffff롍&h ff٘T2ligh9tpartons ffUf321166 Gs&h ff9s0.267?&h ffL0.00412&h ffff뎎%+T:ABLETVIAI:tVۍ %t!lepton+jetsALPGENw9eights.<30h.6ffY&h ff{٘ProAcess ffL#Tofev9ents&h ff64cross-sectionT(pb)&h ffʴalpgenTw9eight&h ffΉffffff롍&h ff٘0Tligh9tparton ffUf749642 Gs&h ff9s0.352?&h ffL0.00233&h ffff롍&h ff٘1Tligh9tparton ffUf452177 Gs&h ff9s0.142?&h ffL0.00156&h ffff롍&h ff٘T2ligh9tpartons ffUf281453 Gs&h ff9s0.068?&h ffL0.00119&h ffff뎎/T:ABLETVIAII:tVۍ %t!dileptonALPGENw9eights.!N9 T*ables_ IX,vX,XIand_ XIGIshowcut owsforallpreselectioncutsappliedtodi erentt'#bt }decays(only316 statisticalUUuncertaintiesareshown).317PYfӉffY"5SelectionksEv9entsRelativ9eŜCum9ulativeΉff(DInitialmw11164 \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%ffO_T:ABLETIX:PreselectiontSaHWt!Ƽ7+8jetscut o9w2E16bvፍhӉff/ Y 0SelectiongEv9entsARelativ9eCum9ulativeΉff/ &?Initialiѯ11164 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 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 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 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 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 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-2E17j VIKI.DbʺANDĝSELECTIONS318 In3the2nextstepweappliedtherequirementsoftight!Dz-andb-tagging.r`T*ableXIGII3showstheselection319 criteriathatweappliedtodataandMC.Theb-tagopGeratingpointusedwasTIGHT,whichcorrespGonds320toENNbtagEʵ>0.775.lW*echosethegwiththehighestNNEasEthe&gcandidate.lAtthisstageoftheanalysis321weֵseparatedtheeventsdatasetwedealwithֶintoparts, accordingֶtowhichtypGeof|thecandidatewith322highestaNN`bGelongs.ThisawasdoneprimarilytoseparatethetypGe3tauevents(whichaareexpGectedto323havemuchhigherfakerateandthusweakert'#bt ɲcrosssectionresult)fromthetypGe2events.Theseparate324measurementchannelswerelatercombinedtogetthe nalresult(SectionX).Inprinciple,ctypGes1and2325shouldJbGeseparatedaswellbutasthereexistsaconsiderablecross-migrationbetweenJthem[20 ]andtype3261isasmallfractionofthetotal(10%oftypGe1,I\54.5%oftypGe2and35.5%oftypGe3),I[theyweretaken327togetther8in7thisanalysis.oThetopGologicalNNusedtoenhancethesignalcontent8isdescribGedinsection328VIGIIBUU.329 At]this^pGoint,weused]theseIDEalgorithmstode ne3mutuallyexclusive^andexhastive^subsamplesout330ofUUtheoriginalpreselecteddatasample:331The $\non-bveto"or #\signal"sample-the,candidatehasNNO>0:90(NN Ydenotes $theNN cut332commonlyrappliedtoallrtaus)fortaustypGes1and2andNN(!Dz)q>0:95rfortaustypGe3,zXandatleast333onet)NNt"b-tagt*(asinT*ableXIGII).ETheset)NN(!Dz)cutst)werechosent)basedonpreviousstudiesinvolving334hadronic8wdecaysoftaus[19 ,>=37 >?].h(Thisisthesampleusedtoextractthecrosssection.Jetsmatchedto335wcandidatesUUarenotb-tagged,althoughttheystillcountasjets.336The &\+vetosample"or %\loGose-tight+sample"-Sameselection,7Zbutwith %0:3s0.9onlytotypGe2taussince346thesearemorelikelytobGefakedbyelectrons.EThecutNNelec>0.9waschoseninordertomatchthelowest347cutUUofNNT>0.9appliedtotypGe2taus(SectionVII).348 AsbGothbandrIDuisthestepimmediatelyafterthepreselection,thenumbGerofeventsavqailableis2800000349million@events.jAsexplainedabGove@1400000events@wereused@fortaustypGe1and2NN@ trainingand600000350fortypGe3tausNNtraining.Thus,\thereare1400000eventsavqailableineachsampleforthemeasurement351inh&thecaseoftypGesh'1and2and2200000inthecaseoftypGe3.:DetailsonNNh"trainingaregiveninSection352VIGIIB.353 TheUUQCDmoGdellingmethodusedhereisthesameasusedinp17andisdescribedinSectionIXAof[3].354 The_ nal`numbGerofevents`ineachchannel`forbGothsignalandbvetosamplesisshownonT*ablesXIV,355XV,UUXVIandXVIGI(onlystatisticaluncertaintiesareshown).356 As$cimpGortantasdeterminingthesubsamplestobeusedinthisanalysis,X&adeterminationaspreciseas357pGossibleڭofbothsignalandelectroweakڭcontaminationinthe\loGose-tighttsample"hadbGedoneinorder358to6know5whetherthissampleistotallyQCD%dominatedornot..hNumbGersshowing5thecompGositionofsuch359sampleTareTshownonT*ablesXVIGIIandTXIXwiththeirrespGectivestatisticaluncertainties.QF*romthet'#btbcontent360ineachcaseweareableestimatethesignalcontaminationintheloGose-tightsample.DSuchcontaminations361are?5.4%and3.0%?fortaustypGe1and2andtypGe3respectivelywhenacrosssectionof?7.46pbisassumed362(SectionIGIC).qLikewiseweseethatelectroweakcontaminationsare2.2%and0.9%.qAsthisisthesample363usedotopmoGdeltheQCDFbackgroundbGothsignalandelectroweakocontaminationswereotakenintooaccount364whenUUmeasuringthecrosssectioninSectionX.365<2E18aЍ`45ffYFDZdataltaggingMC  ]F1ȴwithj@Lj<2:5andpmTJ>20GeVjͷF1ȴwithj@Lj<2:5andpmTJ>20GeV5gF1NNb-tag!mcw08eig@Lht,Tr7igWeight,bTagPr7ob,l `umiR ,eWeightPVzI{R ,eWeight,bFr7agWeight$WZ}PtR ,ew08eig@LhtF4jetswithj@Lj<2:5andpmTJ>20GeVpF4jetswithj@Lj<2:5andpmTJ>20GeV)s0T:ABLEXIAII:b-taggingandID.IntheMC,w9eusetheb-taggingcerti edparameterizationratherthanactual b-tagging,thaty(is,w9ey)appliedtheb-taggingw9eight.GW:ey)alsousedthetriggeringw9eightasy)computedb9ythetriggereciencyparameterizationasw9ellasluminositypro leandPHVZ reweightingweights. kmcw>eigRhtistheMCnormal-izationbfactors(toluminosit9y),vwhichbarebdi erentforMCbsampleswithdi erentbpartonmultiplicitiesinALPGENMCTsamples. s&o fftiY-Sample!w#Tev9entsΉffti3L dataw386 􍍑!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 WHbb8+jetsƾ!Tl&9+bb+jets~7.48T0.30ѼWHcc8+jetsƾ!Tl&9+cc+jets~4.68T0.17WHjjI+8jetsƾ!Tl&9+jjI+jets~5.66T0.11"Zbb8+jetsƾ!T7+bb+jets~0.93T0.08Zcc8+jetsƾ!T7+cc+jets~0.51T0.04xFZjjI+8jetsƾ!T7+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 theTsignalsamplewhentheassumedcrosssectionis7.46pb.pAnestimateofQCDbac9kgroundisnotincluded.s&o fftiY-Sample#Tofev9entsΉffti3L dataw459 􍍑!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 WHbb8+jetsƾ!Tl&9+bb+jets~3.92T0.17ѼWHcc8+jetsƾ!Tl&9+cc+jets~3.26T0.15WHjjI+8jetsƾ!Tl&9+jjI+jets~4.08T0.11"Zbb8+jetsƾ!T7+bb+jets~0.74T0.07Zcc8+jetsƾ!T7+cc+jets~0.41T0.03xFZjjI+8jetsƾ!T7+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 sampleTwhentheassumedcrosssectionis7.46pb.pAnestimateofQCDbac9kgroundisnotincluded.V2E19S ~:p ffgY-Sample-#Tofev9entsΉffg3L dataw2494 􍍑!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 WHbb8+jetsƾ!Tl&9+bb+jets4}9.29T0.27ѼWHcc8+jetsƾ!Tl&9+cc+jets~31.63T0.90WHjjI+8jetsƾ!Tl&9+jjI+jets~169.95T2.68"Zbb8+jetsƾ!T7+bb+jets4}1.30T0.11Zcc8+jetsƾ!T7+cc+jets4}3.15T0.20xFZjjI+8jetsƾ!T7+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-#Tofev9entsΉffg3L dataw3688 􍍑!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 WHbb8+jetsƾ!Tl&9+bb+jets4}5.26T0.19ѼWHcc8+jetsƾ!Tl&9+cc+jets~22.43T0.80WHjjI+8jetsƾ!Tl&9+jjI+jets~126.41T2.60"Zbb8+jetsƾ!T7+bb+jets4}0.92T0.09Zcc8+jetsƾ!T7+cc+jets4}2.86T0.20xFZjjI+8jetsƾ!T7+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.l2E20S ~:&o fftiY-Sample#Tofev9entsΉffti3L datax1217 􍍑!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 WHbb8+jetsƾ!Tl&9+bb+jets~6.33T0.23ѼWHcc8+jetsƾ!Tl&9+cc+jets~4.63T0.19WHjjI+8jetsƾ!Tl&9+jjI+jets~11.34T0.26"Zbb8+jetsƾ!T7+bb+jets~0.50T0.06Zcc8+jetsƾ!T7+cc+jets~0.58T0.06xFZjjI+8jetsƾ!T7+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#Tofev9entsΉffti3L datax4733 􍍑!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 WHbb8+jetsƾ!Tl&9+bb+jets~8.95T0.27ѼWHcc8+jetsƾ!Tl&9+cc+jets~7.80T0.23WHjjI+8jetsƾ!Tl&9+jjI+jets~16.32T0.30"Zbb8+jetsƾ!T7+bb+jets~0.52T0.05Zcc8+jetsƾ!T7+cc+jets~0.46T0.04xFZjjI+8jetsƾ!T7+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.|2E21jz\VIKII.ÄNEURALNETWCORKANALYSIS366A. ^VariablesforNNtraining367F*ollowingmthesameproGcedureasinthepreviousanalysis,6wedeterminethecontentofsignalandbackground368 inthepreselectedsample,- increasesignal/backgroundrateandfromthis,- measurethecross-section.wThe369proGcedureadoptedinthep17analysiswasfeedasetoftopGologicalvqariablesintoanarti cialneuralnetwork370inordertoprovidethebGestpossibleseparationbetweensignalandbackground.Asbefore,thecriteriafor371choGosing!Xsuch!Yvqariableswere: pGowerofdiscrimination!Yand!Dz-uncorrelatedvqariables.Thesetispresented372bGelow:373릍HT -UUthescalarsumofalljet'spT(hereandbGelowincludingwleptoncandidates).374D6 ET ]IF C cmbxti10Isigni ci>anceM-AsbGeingthevqariablethatprovidesthebestsignal-backgroundseparationwe375decidedUUtooptimizeit.376IAplanarityb"[35 ]UU-thenormalizedmomentumtensorisde nedas377֍ױvM="ԍKPop^o;Zir}p^o;ZjK^fe#Z 񍍑YP Ao^j[q!Bɵp^o j((5)&S.where'!#ٍp^0ٲisthemomentum-vectorofareconstructedob8jectoandiandjVparecartesiancoGordinates.378F*romVtheVdiagonalizationofMwe ndthreeeigenvqalues1C23withVtheconstraintV1+;|2+3C=3791.:TheHaplanarityIA7isgivenHbyAH= |3|&fes2 "3andmeasuresthe atnessofanevent.:Hence,itisIde ned380intherange0v̸M0:5. LargevqaluesofAcorrespGondtomoresphericalevents,liket'#bt[4eventsfor381instance,sincedtheyareetypicalofdecaysofeheavyob8jects.GwOntheeotherhand,bGothQCDDandW+;jets382eventsUUaremoreplanarsincejetsintheseeventsUUareprimarilyduetoinitialstateradiation.383ISphericity[35 ]2-1bGeingde nedasS-= e3e&fes2 * (2;+ȵ3|s),andhavingarange0ݸSD1:0,sphericity2isa384 measurerofthersummedp^2v? 2ܲwithrespGecttotheeventraxis.XInthissensea2-jetseventrcorrespGondsto385Sv|i 0andanisotropiceventSv|i 1.It'#btReventsareveryisotropicastheyaretypicalofthedecaysof386heavyob8jectsandbGothQCDandWi+Ujets+eventsarelessisotropicduetothefactthatjetsinthese387eventsUUcomeprimarilyfrominitialstateradiation.388@kITopandWaPImasslikelihoi>od-a^2|s-likevqariable. hL@@`텍mM3j#mtmŭfemʟ t/ `5ݱ2=+:`텍 /QM2j#MmW /Qŭfe$gx ̴mW0`6ݱ2;?S,where389mtV;MW ;t;W 3MarehtopandW5masses(172.4GeVand81.02GeVrespGectively)andresolutionvqal-390ues(19.4GeVand8.28GeVrespGectively).#M3j NandM2jareinvqariantmassescompGosedofthejet391combinations.qW*eUUchoGosecombinationthatminimizesL.392ICentri>ality,UUde nedasHmT7fe WQHmEha,whereHE ²issumofenergiesofthejets.393ፍcos&c(G)-Theanglebetweenthebeamaxisandthehighest-pT Ijetintherestframeofallthejetsin394theUUevent.395s0p#s0fe㏟Ѝ(&㐵s)UU-TheinvqariantUUmassofalljetsand!Dzsintheevent.396릍 ThechosenvqariablesareintheendaconsequenceofthemethoGdemployedinthisanalysis:useevents397frommtheQCD-enrichedloGose-tightsampletomoGdelQCDmeventsinthesignal-richsample,t anduseab-tag398vetoUUsampleasanindepGendentcontrolsampletocheckthevqalidityofsuchbackgroundmoGdeling.399!)3.0wasappliedto6 ET signi canceat415the preselectionstageandthenitwasincludedasoneofthevqariables forNNtraining.Thistimeaswe416chose]tooptimizeit,_sinceitisstillagoGod]vqariabletoprovidesignal-backgrounddiscrimination(Figure7).417It`isimpGortanttostressoutthataftertheoptimizationwepGerformedtheanalysiswiththeoptimized6 /ET418signi cance cut appliedwhendoingbGoth.andbID (SectionVIGI),qthereforeafterthepreselectionwhereno4196qȵET signi cance>cut>wasapplied.jMW*ethenwent>backanp>reproGcessed(preselected)allMC>sampleswiththe420optimized_cut.Bothresults, with6`,ET 1signi cance^appliedduringandafterpreselectiowereidentical.W*e421then chosetopresentthisanalyiswiththiscutappliedatthepreselectionlevelinordertohaveaconsistent422cutUU owthroughouttheanalysis(SectionVI).423Ͷፍ\CPSfile="plots/metl_allEW.eps" llx=0 lly=0 urx=567 ury=381 rwi=2835 iFIG.T7:p6|rET:signi cancedistributionforsignalandbac9kgrounds.t2E25j BelowUUwedescribGehowwesplitthispartoftheanalysisintotwoparts:424w 81.Setoptimization:W*e'|appliedan'}arbitrarycuton6ET t3signi canceof4.0andvqariedthesetof425 vqariblesUUgoingintoNNtraining426|r 82.6qȵET  signi canceUoptimization:mAfterKchosingKthebGestsetbasedonthelowestKRMS,weKthenvqaried427theUU6qȵET signi cancecut428w F*orqvthisqupartoftheanalysiswepresentquthesetsofvqariablesthatweretakenquintoaccounttoqupGerformthe429NNUUtraning430x㍍ISet$I²:UUHTL,aplan(aplanarity),sqrts(pUWfe3荵s W)431ISet$II²:UUHTL,aplan,cent(centrality)432ISet$III²:UUHTL,aplan,spher(spherecity)433ISet$IV2":UUHTL,cent,spher434|qISet$V2":UUaplan,cent,spher435ISet$VI²:UUHTL,aplan,sqrts,spher436ISet$VII²:UUHTL,aplan,sqrts,cent437ISet$VIII²:UUHTL,aplan,sqrts,costhetastar(cos(G^)438ISet$IX²:UUHTL,aplan,sqrts,cent,spher439ISet$X²:UUHTL,aplan,sqrts,cent,costhetastar440ISet$XI²:UUHTL,aplan,sqrts,spher,costhetastar441ISet$XII²:UUmetl,HTL,aplan,sqrts442ISet$XIII²:UUmetl,HTL,aplan,cent443ISet$XIV2":UUmetl,HTL,aplan,spher444ISet$XV2":UUmetl,HTL,cent,spher445ISet$XVI²:UUmetl,HTL,aplan446ISet$XVII²:UUmetl,HTL,sqrts447ISet$XVIII²:UUmetl,aplan,sqrts448ISet$XIX²:UUmetl,HTL,cent449ISet$XX²:UUmetl,HTL,aplan,sqrts,cent450ISet$XXI²:UUmetl,HTL,aplan,cent,spher451ISet$XXII²:UUmetl,HTL,aplan,sqrts,spher452ISet$XXIII²:UUmetl,HTL,aplan,sqrts,costhetastar453ISet$XXIV2":UUmetl,sqrts,cent,spher,costhetastar454ISet$XXV2":UUmetl,HTL,cent,spher,costhetastar455ISet$XXVI²:UUmetl,aplan,cent,spher,costhetastar456ISet$XXVII²:UUmetl,HTL,aplan,cent,costhetastar457ISet$XXVIII²:UUHTL,aplan,topmassl458ISet$XXIX²:UUHTL,aplan,sqrts,topmassl4592E26jISet$XXX²:UUHTL,aplan,sqrts,cent,topmassl460ISet$XXXI²:UUHTL,aplan,sqrts,costhetastar,topmassl461ISet$XXXII²:UUmetl,HTL,topmassl,aplan,sqrts462ISet$XXXIII²:UUmetl,spher,costhetastar,aplan,cent463 TheUUcriteriausedformakingadecisiononwhichvqariableshouldbGeusedfollow:464Nomorethan5vqariablestokeepNNsimpleandstable.ZMorevariablesleadstoinstabilities(di erent465 resultUUaftereachretraining)andrequirelargertrainingsamples.466W*eUUdonotwantUUtousehighlycorrelatedvqariablesinsameNN.467W*eUUwanttousevqariableswithhighdiscriminatingpGower.468 InordertomakethedecisionabGoutwhichofthese11choicesistheoptimalwecreatedanensembleof46920000)pseudo-datasetseachcontainingeventsrandomly(accordingtoaPoissondistribution)pickedfrom470QCD,5EWand4t'#btHtemplates.JhEachofthesedatasetswastreatedlikerealdata,meaningapplyingallthecuts471andMdoingtheshapGeL tofeventMtopologicalNN.QCD&templatesfor tweremadeLfromthesame\loose-tight472?Esample"}from~whichtheQCDpcompGonentofthe\data"wasdrawn._*The} gureofmeritchosenisgivenby473EquationUU6bGelow:474C܍|µfڧ=<$K(Nfit A8Ntr7ue)Kwfe?) (֍ѵNtr7ue((6)whereNfitƲisthenumbGeroft'#btKvpairsgivenbythe tandNtr7ueisthenumbGeroft'#btKwpairsfromthePoisson475distribution._PInbGothSetand6ET 8signi canceoptimization,NthelowestRMSnwasusedtocaracterizewhich476con gurationUUisthebGestineachcase.477 TheAplotsAshowingresultsconcerningthesetoptimizationsarefoundinAppGendixEandaresummarized478inT*ableXXbGelow,%whereeachRMSandmeanareshown.5IF*orNNtrainingisstandardtochoGosethenumbGer479ofhiddennoGdesasbeingtwicethenumbGerthenumberofvqariablesusedforthetraining.aTheparenthesis480afterUUeachsetIDshowthenumbGerofhiddennodesinNNtraining.481 F*romaTableaXXweseethatSetIahasthelowestRMS,athuswechoseaitasthesettobGeusedin61kET482signi canceoptimizationpart,whose resultsareshowninAppGendixFandthensummarizedinT*ableXXI483bGelow484 CombinedresultsfromT*ablesXXandXXIshowthatthebGestcon gurationfoundwasSetIwith6qȵET Osig-485ni cance4.0.W=Therefore,thiswasthecon gurationusedtopGerformthecross-sectionmeasurement.Figure4868UUshowsthevqariationoftheRMSasfunctionofthe6qȵET signi canceweapplied.487Yލy CPSfile="plots/METsig-RMS.eps" llx=0 lly=0 urx=567 ury=439 rwi=2268 lFIG.T8:pPlotofRMSasafunctionthe6|rET:signi canceapplied82E27&6*卍DsKff7Y&h ff٘SetTofv|rariables ffG.RMS}&h fff<2meanp&h ffΉff7ffff7&h ff9٘Set1(6) ffD0.1642&h ffd.k0.0265&h ffff7&h ff9٘Set2(6) ffD0.1840&h ffd.k0.0054&h ffff7&h ff9٘Set3(6) ffD0.1923&h ffd.k0.0060&h ffff7&h ff9٘Set4(6) ffD0.1978&h ffd.k0.0175&h ffff7&h ff9٘Set5(6) ffD0.2385&h ffd.k0.0022&h ffff7&h ff9٘Set6(8) ffD0.1687&h ffd.k0.0115&h ffff7&h ff9٘Set7(8) ffD0.1667&h ffd.k0.0134&h ffff7&h ff骟٘Set8(10) ffD0.1668&h ffd.k0.0162&h ffff7&h ff骟٘Set9(10) ffD0.1721&h ffd.k0.0102&h ffff7&h ff ٘Set10(10) ffD0.1722&h ffd.k0.0210&h ffff7&h fff٘Se11(10) ffD0.1716&h ffd.k0.0180&h ffff7&h ff骟٘Set12(8) ffD0.1662&h ffd.k0.0039&h ffff7&h ff骟٘Set13(8) ffD0.1819&h ffd.k0.0018&h ffff7&h ff骟٘Set14(8) ffD0.1879&h ffd.k0.0019&h ffff7&h ff骟٘Set15(8) ffD0.1884&h ffb-0.0004&h ffff7&h ff骟٘Set16(6) ffD0.1912&h ffd.k0.0034&h ffff7&h ff骟٘Set17(6) ffD0.1768&h ffd.k0.0074&h ffff7&h ff骟٘Set18(6) ffD0.2216&h ffb-0.0030&h ffff7&h ff骟٘Set19(6) ffD0.1921&h ffd.k0.0015&h ffff7&h ff ٘Set20(10) ffD0.1620&h ffd.k0.0262&h ffff7&h ff ٘Set21(10) ffD0.1753&h ffd.k0.0010&h ffff7&h ff ٘Set22(10) ffD0.1646&h ffd.k0.0086&h ffff7&h ff ٘Set23(10) ffD0.1683&h ffd.k0.0132&h ffff7&h ff ٘Set24(10) ffD0.2053&h ffd.k0.0122&h ffff7&h ff ٘Set25(10) ffD0.1906&h ffd.k0.0038&h ffff7&h ff ٘Set26(10) ffD0.2130&h ffd.k0.0028&h ffff7&h ff ٘Set27(10) ffD0.1859&h ffd.k0.0004&h ffff7&h ff骟٘Set28(6) ffD0.1910&h ffb-0.0022&h ffff7&h ff骟٘Set29(8) ffD0.1587&h ffd.k0.0214&h ffff7&h ff ٘Set30(10) ffD0.1546&h ffd.k0.0148&h ffff7&h ff ٘Set31(10) ffD0.1543&h ffd.k0.0203&h ffff7&h ff ٘Set32(10) ffD0.1468&h ffd.k0.0172&h ffff7&h ff ٘Set33(10) ffD0.2201&h ffd.k0.0081&h ffff7ȳT:ABLE+XX:+Resultsforsetoptimizationpartwhit6|rETɹsigni cance>4.0appliedtoallsets.ΟThen9umbAerin+parenthesis refersTton9umbAerTofhiddennodesineac9hcase.鍟k щff"Y&h ff٘SetTofv|rariables ffD6|rET:signi canceTcut&h ff+RMS&h ff mean Ɵ&h ffΉff"ffff"&h ff ٘Set32(10) ffe+3.0"&h ff0.1507&h ff0.0157&h ffff"&h ff ٘Set32(10) ffe+3.5"&h ff0.1559&h ff0.0189&h ffff"&h ff ٘Set32(10) ffe+4.0"&h ff0.1468&h ff0.0172&h ffff"&h ff ٘Set32(10) ffe+4.5"&h ff0.1511&h ff0.0153&h ffff"&h ff ٘Set32(10) ffe+5.0"&h ff0.1552&h ff0.0205&h ffff"0T:ABLEΩXXI:Resultsfor6TET signi canceoptimizationpartwhenv|raryingthe6UET signi cancecutThen9umbAerΩin paren9thesisTreferstonumbAerofhiddennodesineac9hcase.2E286f\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. InlorderktochecklthevqalidityofouremsembletestsproGcedure,itisinstructivetoplotbGoththedistribution488 ofUUthepredictednumbGerUUoft'#btDzandwhatiscalled\pull",de nedinEquation7below:489C܍5p=<$K(Nfit A8Ntr7ue)Kwfe?) (֍)˵fit((7)>]whereUUfit^istheerroronthenumbGerUUoft'#btDzpairsgivenbythe t.490 FiguresUU9and10showbGothbeforementioneddistributions.491 F*rom}Figure}9weseeagoGod}agreementbGetween}thenumbGer}oft'#btBpairsinitiallysetintheensembleand492the measuredvqalue.AndFigure10 showsanicegaussiancurve,wthatindicatesagoGod behaviour of the t493uncertaintiesUUintheensembles.4942E29jIX.>+TOPOLOGICALVARIABLES495 InԚthisԛsectionweshowԚplotsofthetopGologicalvqariablesusedinthisanalysisinordertocheckԚthe496 agreementjbGetweendataandjMonteCarloinallcases.Plotsareseparatedintwokinds:"signalsampleand497b-vetoUUcontrolplots.498!C%A. ^Signalsampleplots499 AsstatedinSectionVIGIthesignalsampleistheoneweusedtopGerformthemeasurement.]>Thecutshere500consistuofuNN(!Dz) > 0:90forutaustypGes1and2,} NN(!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 areTsho9wn,indicatingthelevelofagreement.2E30܍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 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 sho9wn,Tindicatingthelevelofagreement.:2E31܍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 sho9wn,Tindicatingthelevelofagreement. B2E32jݏB. ^b-vCetocontrolsampleplots505 TheSb-vetosampleSistheoneusedtotestourQCDSmoGdellingVII.m&AsitSrequiresnoNNSb-tagsitis506 QCD-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) probabilitiesTaresho9wn,indicatinghowgoAodTtheagreementis.!2E33܍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) 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- bilitiesTaresho9wn,indicatinghowgoAodTtheagreementis."2E34܍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- bilitiesTaresho9wn,indicatinghowgoAodTtheagreementis.#ޠ2E35j[X.&ECRCOSSSECTION511 Having#presented"thepreselectionyeldsonSectionVIwenow#showthe"resultsoftheecienciesfor7ID,512 b-taggingUUandtriggerforallt'#btDzchannels513%^4şωffWY9Selection.Relativ9e(%)cCum9ulative(%)ΉffW SID-22:2080:24j:22:2080:24 yTT:rigger, 84:5480:55he18:7780:22b-tagging, 61:8280:55he11:6180:16ffW%#gT:ABLETXXIAI:tSaHWt!Ƽ7+8jets nalcut o9wfortaustypAes1and234şωffWY9Selection.Relativ9e(%)cCum9ulative(%)ΉffW SID-12:3780:21j:12:3780:21 yTT:rigger, 84:7980:75he10:4980:19b-tagging, 59:6380:75jd6:2680:13ffWtraT:ABLETXXIAII:tSaHWt!Ƽ7+8jets nalcut o9wfortaustypAe34şωffWY9Selection.Relativ9e(%)cCum9ulative(%)ΉffW SID-10:8180:20j:10:8180:20 yTT:rigger, 83:4080:81jd9:0280:18b-tagging, 61:3080:82jd5:5280:12ffWfMT:ABLETXXIV:tSaHWt!Ƽe8+jetsT nalcut o9wfortaustypAes1and2B损vݍ4şωffWY9Selection.Relativ9e(%)cCum9ulative(%)ΉffW SID/2:2580:11l2:2580:11 yTT:rigger, 83:6281:77jd1:8880:09b-tagging, 58:2681:76jd1:1080:06ffWv7T:ABLETXXV:tSaHWt!Ƽe8+jetsT nalcut o9wfortaustypAe3Mbvݍ4şωffWY9Selection.Relativ9e(%)cCum9ulative(%)ΉffW SID/3:3880:19l3:3880:19 yTT:rigger, 84:4482:13jd2:8680:17b-tagging, 61:2582:16jd1:7580:11ffWdb.T:ABLETXXVI:tSaHWt!Ƽ8+jetsT nalcut o9wfortaustypAes1and2.vݍ4şωffWY9Selection.Relativ9e(%)cCum9ulative(%)ΉffW SID/3:8880:21l3:8880:21 yTT:rigger, 82:7982:04jd3:2180:18b-tagging, 58:1182:05jd1:8780:11ffWrT:ABLETXXVIAI:tSaHWt!Ƽ8+jetsT nalcut o9wfortaustypAe3vݍ4şωffWY9Selection.Relativ9e(%)cCum9ulative(%)ΉffW SID-21:1880:37j:21:1880:37 yTT:rigger, 79:5680:90he16:8580:34b-tagging, 62:8380:92he10:5980:25ffWbT:ABLETXXVIAII:tSaHWt!Ƽdil&9epton nalcut o9wfortaustypAes1and2$ 2E36bvݍ4şωffWY9Selection.Relativ9e(%)cCum9ulative(%)ΉffW SID-14:7380:34j:14:7380:34 yTT:rigger, 78:7881:08he11:6080:30b-tagging, 63:6281:11jd7:3880:22ffW%#sNT:ABLETXXIX:tSaHWt!Ƽdil&9epton nalcut o9wfortaustypAe3. Afterhavingcomputedallecienciesitisworthytosummarizeallofthem(in%)forthedi erenttau514 typGes:515+7Hd@u ff @]Y oChannelpn3:7080:02pG22:2080:2418:7780:22n11:6180:16 􍍑tSaHWt!Ƽe8+jets>pn3:5480:02pG10:8080:209:0280:18ܾ5:5380:12 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 oChannelpn3:7080:02pG12:3780:2110:4980:19n6:2680:13 􍍑tSaHWt!Ƽe8+jets>pn3:5480:02sF2:2580:111:8880:09n1:1080:06 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 T*ableUUbGelowsummarizesthenumbGerofeventsineachchannelafter nalselection.516@^T:ABLETXXXIAI:Finaln9umberTofev9entsTinthet9woTanalysisc9hannels.K?=#?>'ffXevYT%St9ypAeTI,IIjGSt9ypAeTI,II( tted)˰St9ypAeTIII ӼSt9ypAeTIII( tted)ΉffXevdatab U386459 􍍑 ptSaHWt!Ƽ7+8jetsO]72.04T0.5338.82T0.39 O1tSaHWt!Ƽe8+jetsO]38.35T0.36o6.52T0.16 MtSaHWt!Ƽ8+jetsQ\4.81T0.14o5.14T0.14StSaHWt!Ƽl4q+8lQ\6.02T0.07o4.20T0.06BtSaHWtlototalTMC$121.22T0.43B54.68T0.20 tSaHWtlototalT tted5%133.04T17.0933.12T15.04 WH+jetsO]17.82T0.3311.26T0.23Z+jetsQ\2.78T0.14o2.39T0.12LQCD5%232.35T17.09412.22T15.04SignalTsigni cance 86.77&y1.54S/BTratio 80.52&y0.08%2E37j Thecrosssectionwasmeasuredbyminimizingthesumofthenegativelog-likelihoGodfunctionsforeach517 binVofUbGoththetypes1Uand2channelandthetypGe3channel.ThesearefunctionsusedbyMINUIT=to518pGerform9 tsshowninFigs:5and6inSectionVIIIB.LiButthereLwasfunctionof:f(QCD)andnowwewant519toUUuseittomeasurethecrosssection,sowemustexpressitintermsof[ٲ(t'#btR):520L(͠;x䍑~Ni ׵;Nobsi )l2`og[ٲ(Y tii<$x䍑O~N;Nr,obsi;Yiwfe= fϵN:obs;Zi!,ߵe;1~Ni@~)((8)!Hwherex䍑R~mHNi=ġhȵBqR|Lhɵ(t'#btr)i+Nbk+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 toiteratebackd bynormalizingthed signalsamplesuntilwefoundd aconvergenceofd thecross-section.533T*ableUUXXIGIIsummarizestheiterationprocess.534 ǟcffY&h ff٘AssumedTR(tVۍ %teS)(pb) ffXPsignalTcon9taminationfortypAes1&2(%)&h ffsignalTcon9taminationfortypAe3(%)&h ff7measuredTR(tVۍ %teS)(pb)&h ffΉffffff&h ff" ٘7.46 ff5.4OF\&h ffE3.0Du"&h ff8.37#k&h ffff&h ff" ٘8.37 ff6.1OF\&h ffE3.3Du"&h ff8.42#k&h ffff&h ff" ٘8.42 ff6.2OF\&h ffE3.4Du"&h ff8.46#k&h ffff&h ff" ٘8.46 ff6.2OF\&h ffE3.4Du"&h ff8.46#k&h ffff*Ǎ_T:ABLETXXXIAII:Cross-sectioniterationprocess.!N9 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.IFigures22,23540 andUU24showzoGomedingraphsofthesamelikelihoGodUUfunctionsdescribGedabove.541 AllUUassoGciatedsystematicsconcerningthismeasurementcanbeseeninT*ableXXXVI.542&(ɠ2E38 %~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'@2E39S%~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:pZoAominoftheloglik9elihoodfunctionfort9ype3Sc9hannel8Ǎ~FPSfile="plots2/xsecall_pres.eps" llx=0 lly=0 urx=567 ury=381 rwi=2154 PFIG.T24:pZoAominoftheloglik9elihoodfunctionforallthreet9ypescom9bined(CG2E40j Aftermeasuringthecombinedcrosssectionweobservedasigni canthigherstatisticaluncertaintyvqalueif543 comparedtotheoneweexpGectedtoseebasedonthefactthatwehaveapproximately5timesmoredatathan544in3rp17,:9where3qthesignalcontaminationwas3qnottakenintoaccount3q(seeAppGendixG).f{F*urtherinvestigation545showedAthatthe@cutNNelec>0.9appliedtotaustypGe2onlywasrespGonsibleforsuchdiscrepancy*.Below546weUUshowthesamemeasurementasdoneabGovebutnowwithnoNNeleccutapplied.547 T*ableUUbGelowsummarizesthenumbGerofeventsineachchannelafter nalselection.548@]/T:ABLETXXXIV:Finaln9umbAerTofev9entsTinthet9woTanalysisc9hannels.K?:@>'ff]tYV^$St9ypAeTI,II ESt9ypAeTI,II( tted)kSt9ypAeTIIIѼSt9ypAeTIII( tted)Ήff]tdatadZT583?459 􍍑 ptSaHWt!Ƽ7+8jetsQ\85.46T0.58ؿ38.82T0.39 O1tSaHWt!Ƽe8+jetsO]175.23T0.856.52T0.16 MtSaHWt!Ƽ8+jetsT*[8.98T0.195.14T0.14StSaHWt!Ƽl4q+8lQ\12.62T0.104.18T0.06BtSaHWtlototalTMC%"282.27T1.0554.67T0.41 tSaHWtlototalT tted#260.71T20.7435.73T15.28 WH+jetsQ\39.65T0.50ؿ11.26T0.25Z+jetsT*[4.56T0.102.38T0.11LQCD#278.04T20.74B409.62T15.28SignalTsigni cance\710.80+1.67S/BTratio60.80+0.08Z(> T*ableUUbGelowshowstheiterationproGcessinthiscaseandandthecrosssectionmeasurementfollows:549 ǟcffY&h ff٘AssumedTR(tVۍ %teS)(pb) ffXPsignalTcon9taminationfortypAes1&2(%)&h ffsignalTcon9taminationfortypAe3(%)&h ff7measuredTR(tVۍ %teS)(pb)&h ffΉffffff&h ff" ٘7.46 ff6.0OF\&h ffE3.0Du"&h ff6.84#k&h ffff&h ff" ٘6.84 ff5.4OF\&h ffE2.7Du"&h ff6.91#k&h ffff&h ff" ٘6.91 ff5.5OF\&h ffE2.8Du"&h ff6.92#k&h ffff&h ff" ٘6.92 ff5.5OF\&h ffE2.8Du"&h ff6.92#k&h 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; Aswecanseethestatisticaluncertaintydecreasesto0.54pbwhichisinagoGodagreementtowhatwe550 would%gexpGectifcomparedto1.2pbmeasuredin%hp17.aAppendixGshowscrosssectionsmeasurementswhen551signalcontaminationisnottakenintoaccountforbGothNNelec>0.9andnoNNeleccutapplied.@Onceagain552weUUobservedadiscrepancywhenNNelecisappliedandtheexpGectedvqaluewhenNNelecisnotapplied.553)Eؠ2E41j6tXI.ߠSYSTEMATICUNCERTAINTIES554 Severalfactorscontributetosystematicuncertaintiesinthemeasurement.>HerewedescribGesuchuncer-555 tainties.556!C%کA. ^JES557Thetjettenergyscale(JES)tzsystematicisdeterminedbyshi tingthejetenergyscaleby1НinallMC558samples.559!C%!B. ^TES560TheWtauenergyscaleW(TES)systematicisdeterminedbyshi tingthetauenergyscalebyitsuncertaintyas561givenUUin[36 ].562!C%,C. ^JetEnergyResolutionandJetID563The͓jetenergy͒resolution(JER)tsystematicisdeterminedbyshi tingthejetenergyresolutionby1)lin564allUUMCsamples.565!C%D. ^Trigger566EachjneventjowascorrectedjobythejoratiooftheactualandpredictedtriggerresultasafunctionofHTL,owhich567wasUUusedbasedonthefactthattheagreementvqariesasfunctionofit.568!C%hE. ^b-quarkfragmenCtation569Thisc'uncertaintyisestimatedusingthestandardproGceduredescribedin[17 ]byreweightingt'#bteventsusing570di erentUUfragmentationfunctions.571!C%uF. ^b-tagging572b-tagginguncertaintye ectsaretakenintoaccountbyvqaryingthesystematicandstatisticalerrorsonthe573MCUUtaggingweights.574 TheseϹerrorsϺ(whicharecomputedusingstandardDbIDϙgrouptoGols)ariseformseveralindepGendent575sourcesUU[27 ]:576B-jetUUtaggingparameterization.577C-jetUUtaggingparameterization.578LightUUjettaggingparameterization(negativetagrate).579Semi-leptonicUUb-taggingeciencyparameterizationinMCandindata(System8).580T*aggability.gThisiincludesithestatisticalerrordueto nitestatisticinthesamplesfromwhichithad581bGeenUUderivedandsystematic,re ectingthe(neglected)taggabilitydepGendenceonthejetmultiplicity*.582*W2E42jEG. ^ĝIDsystematics583HereweincludesystematicsassoGciatedtotheNNqcut(NNr>0.90fortaustypGes1and2andNNq>0.95for584 taustypGe3)appliedtoselecthadronictaus.EAsrecommendedbythe!Dz-IDѽgroupthesesystematicsare9.5%,5853.5%+and5.0%for,taustypGe1,١2and3respectively*.JHowever+inthisanalysiswechose,treattaustypGes1586andUU2together.qThisledustocombinetheiruncertaintiesinthefollowingway587sy[s12 ?=7q 7feE2 .ɍ:2l1S8f:2l1+:2l2f:2l2((9)\wheree1\and2[aretheeIDeecienciesfortaustypGes1and2respGectivelyandf1[andf2areethefractions588ofUUtaustypGes1(0.16)and2(0.84)respectively*.589!C%H. ^QCDsystematics590 As7explained6inthesectionVIGIIA7weusethecontrol(b-veto)data6settovqalidateourmethoGdofmoGdeling591themultijetbackground.LThereforewehavetousethesamesampletoevqaluatetheassoGciateduncertainties.592Thed'wayd&itwasd&doneisbyreweightingtopGologicald&eventNNd"forQCDd#templated&(\loGose-tight"!Dz),gsod&thatit593matchesUUtheonefor\tight"wdataexactly(electroweakbGeckgroundsweresubtracted).594!C%NI. ^WandZscalefactors595 W*eSapplyaSascalefactorof1.47tobGothW+bbandW+cceventsSwithanuncertaintySof15%.qCAtthe596sametimeascalesfactorsof1.52and1.67areappliedtoZ+bbandZ+ccevents,բbGothwithanuncertainty597ofUU20%.598!C%qJ. ^Templatestatistics599 When܄we܅pGerformedthetemplate ttodata(SectionVIGII)܄theQCDftemplatehadlimitedstatistics(1132600events)for(taustypGes1and2and4487eventsfor)taustypGe3).BW*ehaveto)takethe(statisticaluncertainty601inthishistogramasoneofthecrosssectionsystematics.Itwascalculatedbyvqaryingthecontentofeach602bin\of\theQCD\templateNNdistributionwithinits\uncertainty\andobservinghowthecrosssectionresult603changed.604!C%~G0K. ^tVۍ %tconCtaminationintheloKose-tightsample605 WhenZmeasuringthecross-sectionwehadtotake[intoaccountthesignalcontaminationintheloGose-tight606sampleweusetomoGdelQCDɢinthehighNNregion.CBThesystematicuncertaintyinthiscaseiscalculatedby607vqaryingthe nalassumedcrosssectionby1[ٲ,֔re-estimatingthesignalcontaminationand nallymeasuring608theUUupanddownvqaluesofthecrosssection.609!C%L. ^PDF610 SystematicsyonPartonyDistributionF*unctions(PDF)yEareestimatedbyreweightingsignalt'#btMCyDfrom611CTEQ6L1ŗtoCTEQ6.1manditstwentyŗerrorPDF's.ŽThereweightingŗofthePDF'sisdonebyusing612FcafEff&fǫpdfreweight/packqage.toGolonPythiat'#btDMC.W*ethenassignedtherelativePDFuncertainty/obtained613withUUPythiaontheAlpgent'#btDzMC.614+b%2E43jM. ^LuminositCy615 HereUUwetaketheDstandardmeasureduncertaintyonluminosityof6.1%.616 T*ables6XXXVI7andXXXVIGIsummarizealloftheseuncertainty6sourcesandshowshow6theresultingcross617sectionUUshifts.618OT:ABLETXXXVI:Systematicuncertain9tiesonR(tVۍ %tW)(inpb)forNNelec>0.9.Vs,ak-3:ffYhChannelX*2cmmi8r+jetsXtÎypX8GeVyDPSfile="lowLum/l1jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 *x(b)pX.T8Z>X15GeV0"DPSfile="lowLum/l1jetspt30.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 Us(c)pX.T8Z>X30GeV"rFIG.T45:pLev9el1jetturn-oncurves,lowluminosity:.82E563CPSfile="medLum/l1jetspt8.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 EC(a)pX.T8Z>X8GeVyDPSfile="medLum/l1jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 *x(b)pX.T8Z>X15GeV0"DPSfile="medLum/l1jetspt30.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 Us(c)pX.T8Z>X30GeV"yFIG.T46:pLev9el1jetturn-oncurves,mediumluminosity:.vQ3DPSfile="highLum/l1jetspt8.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 EC(a)pX.T8Z>X8GeVyEPSfile="highLum/l1jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 *x(b)pX.T8Z>X15GeV0"EPSfile="highLum/l1jetspt30.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 Us(c)pX.T8Z>X30GeVFIG.T47:pLev9el1jetturn-oncurves,highluminosity:.9ɠ2E57j[D2. ^LevCel2jetturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX692v3CPSfile="lowLum/l2jetspt8.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 'O(a)LoÎwXluminositypX.T8Z>8GeVyCPSfile="medLum/l2jetspt8.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 (b)MediumXluminositÎypX.T8Z>8GeV0"DPSfile="highLum/l2jetspt8.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 9S(c)highXluminositÎypX.T8Z>8GeV"IPFIG.T48:pLev9el2pTm>8GeVjetsturn-oncurves./C%Zֺ3. ^LevCel2HT hturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX693c@PSfile="lowLum/l2ht75.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 (a)HX.T8Z>X75GeVkNAPSfile="lowLum/l2ht100.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332  0(b)HX.T8Z>X100GeV7dFIG.T49:pL2HT:turn-oncurv9es,lowluminosity:.vQc@PSfile="medLum/l2ht75.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 (a)HX.T8Z>X75GeVkNAPSfile="medLum/l2ht100.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332  0(b)HX.T8Z>X100GeVFIG.T50:pL2HT:turn-oncurv9es,mediumluminosity:.:Ѳ2E58ـcAPSfile="highLum/l2ht75.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 (a)HX.T8Z>X75GeVkNBPSfile="highLum/l2ht100.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332  0(b)HX.T8Z>X100GeV"JFIG.T51:pL2HT:turn-oncurv9es,highluminosity:.[T4. ^LevCel26|rET hturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX694vcBPSfile="lowLum/l2mhtv15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 m(a)6EX.T>>X10GeVkNBPSfile="lowLum/l2mhtv16.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 (b)6EX.T>>X20GeV"AFIG.T52:pL26|rET:turn-oncurv9es,lowluminosity:.vQcBPSfile="medLum/l2mhtv15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 m(a)6EX.T>>X10GeVkNBPSfile="medLum/l2mhtv16.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 (b)6EX.T>>X20GeVFIG.T53:pL26|rET:turn-oncurv9es,mediumluminosity:.;ܠ2E59ـcCPSfile="highLum/l2mhtv15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 m(a)6EX.T>>X10GeVkNCPSfile="highLum/l2mhtv16.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 (b)6EX.T>>X20GeV"FIG.T54:pL26|rET:turn-oncurv9es,highluminosity:.I{5. ^LevCel2SphericityturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX695v3APSfile="lowLum/l2spher.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 "(a)SphericitÎyX>0.1turn-oncurve, GloÎwXluminosityyAPSfile="lowLum/l2spher.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 (b)SphericitÎyX>0.1turn-oncurve, 3ZmediumXluminositÎy0"APSfile="medLum/l2spher.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 4fJ(c)SphericitÎyX>0.1turn-oncurve, VhighXluminositÎy+9)FIG.T55:pL2Sphericit9yturn-oncurves./C%Qe]6. ^LevCel2STTIPturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX696cGPSfile="lowLum/l2stt01taglol.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 d(a)L2STTIPJ,X0and1tighÎtNNtagskNGPSfile="lowLum/l2stt23taglol.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 (b)L2STTIPJ,X2and3tighÎtNNtags#@FIG.W56:L2STTIPWeciencyinthelo9wluminosityrange..Left:eventswith0(red)and1(black)tightNNWb-tags. Righ9t:peventsTwith2(red)and3(blac9k)tightNNb-tags.<2E60cDPSfile="medLum/l2stt01tag.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 d(a)L2STTIPJ,X0and1tighÎtNNtagskNDPSfile="medLum/l2stt23tag.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 (b)L2STTIPJ,X2and3tighÎtNNtags#@FIG.57:*L2STTIP|eciencyinthemediumluminosit9yrange.Left:)eventswith0(red)and1(black)tightNN b-tags.pRigh9t:eventsTwith2(red)and3(black)tightNNb-tags.cHPSfile="highLum/l2stt01taghil.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 d(a)L2STTIPJ,X0and1tighÎtNNtagskNHPSfile="highLum/l2stt23taghil.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 (b)L2STTIPJ,X2and3tighÎtNNtags#@FIG.,58:K L2STTIP,eciencyinthehighluminosit9yrange.byLeft:ev9ents,with0(red)and1,(blac9k)tightNN,b-tags. Righ9t:peventsTwith2(red)and3(blac9k)tightNNb-tags.[D7. ^LevCel3jetturnoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX697vcDPSfile="lowLum/l3jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 (a)pX.T8Z>X15GeVkNDPSfile="lowLum/l3jetspt25.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 M(b)pX.T8Z>X25GeV"չFIG.T59:pL3jetturn-oncurv9es,lowluminosity:.=2E61cDPSfile="medLum/l3jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 (a)pX.T8Z>X15GeVkNDPSfile="medLum/l3jetspt25.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 M(b)pX.T8Z>X25GeV"RFIG.T60:pL3jetturn-oncurv9es,mediumluminosity:.vQcEPSfile="highLum/l3jetspt15.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 (a)pX.T8Z>X15GeVkNEPSfile="highLum/l3jetspt25.eps" llx=0 lly=0 urx=567 ury=384 rwi=1332 M(b)pX.T8Z>X25GeVƀFIG.T61:pL3jetturn-oncurv9es,highluminosity:./C%aO8. ^LevCel3b-tagoncurvesfortriggerJT2ff1뎎~3JT15Lff1뎎IPff1뎎VX698i *w[HPSfile="lowLum/l3btag01taglol.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 [(a)0Xand1b-tags.kNHPSfile="lowLum/l3btag23taglol.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 P(b)2Xand3b-tags.#@FIG.62:*(a)EciencyoftheL3b-tag(Lev9el3Eventȼb-tag<0.4)forthelo9wluminosityrangeintriggerlistv15.BThe selected Y2E627w[EPSfile="medLum/l3btag01tag.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 [(a)0Xand1b-tags.kNDPSfile="medLum/l3btag2tag.eps" llx=0 lly=0 urx=567 ury=384 rwi=1133 P(b)2Xand3b-tags.#@FIG.63:(a)EciencyoftheL3b-tag(Lev9el3Eventb-tag<̹0.4)forthemediumluminosit9yrangeintriggerlistv15. 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 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.AԠ2E65jAPPENDIXD:SETOPTIMIZATION702InthisappGendixitisshownplotsofthe gureofmerit(Equation6)usedtoperformtheNNvqariablesset703 optimizationUUasdescribGedinSectionVIIIC.704B2E660e؍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 iK`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|rariableswith6ET:signi cance>4.0forsetoptimization.CR2E67jlAPPENDIXE:SETOPTIMIZATIONCONTINUED705InthisappGendixitisshownplotsofthe gureofmerit(Equation6)usedtoperformtheNNvqariablesset706 optimizationUUasdescribGedinSectionVIIIC.707pđCwK`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 iK`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|rariableswith6ET:signi cance>4.0forsetoptimization.D 2E68jjAPPENDIXF:6|rET 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|rET:signi cancecutforSetXXXIAI=metl,HT,topmassl,aplan,sqrts.E 2E69jAPPENDIXG:CRCOSSSECTIONMEASUREMENTSWHENSIGNALCONTAMINATIONIS709 IGNORED710InthisappGendixitisshownplotsofthe gureofmerit(Equation6)usedtoperformtheNNvqariablesset711 optimizationUUasdescribGedinSectionVIIIC.712!C%a1. ^ResultsforSet=metl,HT,topmassl,aplan,sqrts,metl>4.0,lumi=4951.86/pb,VCCjetsand713׺NNelecʼ>0.9714 T*ableUUbGelowsummarizesthenumbGerofeventsineachchannelafter nalselection.715@Y T:ABLETXXXVIAII:Finaln9umbAerofeventsinthetwoanalysischannels.K?=#?>'ffXevYT%St9ypAeTI,IIjGSt9ypAeTI,II( tted)˰St9ypAeTIII ӼSt9ypAeTIII( tted)ΉffXevdatab U386459 􍍑 ptSaHWt!Ƽ7+8jetsO]72.04T0.5338.82T0.39 O1tSaHWt!Ƽe8+jetsO]38.35T0.36o6.52T0.16 MtSaHWt!Ƽ8+jetsQ\4.81T0.14o5.14T0.14StSaHWt!Ƽl4q+8lQ\6.02T0.07o4.20T0.06BtSaHWtlototalTMC$121.22T0.43B54.68T0.20 tSaHWtlototalT tted5%133.04T17.0933.12T15.04 WH+jetsO]17.82T0.3311.26T0.23Z+jetsQ\2.78T0.14o2.39T0.12LQCD5%232.35T17.09412.22T15.04SignalTsigni cance 86.77&y1.54S/BTratio 80.52&y0.08Z(> Without^taking^intoaccountthesignal^contaminationtheresult^is(onlystatisticaluncertainties^areshown)716յ!Dz+jetsUUtypGes1and2crosssection: [ٲ(t7ferYɍtr)=8:05䍑0+1:0401:02 1(stat)80:30(lumiq)pb;I!Dz+jetsUUtypGe3crosssection: [ٲ(t7ferYɍtr)=4:24䍑0+1:9401:80 1(stat)80:30(lumiq)pb;kICombinedUUcrosssection: [ٲ(t7ferYɍtr)=7:26䍑0+0:9200:92 1(stat)80:30(lumiq)pb;F2E70ja2. ^ResultsforSet=metl,HT,topmassl,aplan,sqrts,metl>4.0,lumi=4951.86/pb,VCCjetsand717 BYnoNNeleccut718 T*ableUUbGelowsummarizesthenumbGerofeventsineachchannelafter nalselection.719@]/T:ABLETXXXIX:Finaln9umbAerTofev9entsTinthet9woTanalysisc9hannels.K?:@>'ff]tYV^$St9ypAeTI,II ESt9ypAeTI,II( tted)kSt9ypAeTIIIѼSt9ypAeTIII( tted)Ήff]tdatadZT583?459 􍍑 ptSaHWt!Ƽ7+8jetsQ\85.46T0.58ؿ38.82T0.39 O1tSaHWt!Ƽe8+jetsO]175.23T0.856.52T0.16 MtSaHWt!Ƽ8+jetsT*[8.98T0.195.14T0.14StSaHWt!Ƽl4q+8lQ\12.62T0.104.18T0.06BtSaHWtlototalTMC%"282.27T1.0554.67T0.41 tSaHWtlototalT tted#260.71T20.7435.73T15.28 WH+jetsQ\39.65T0.50ؿ11.26T0.25Z+jetsT*[4.56T0.102.38T0.11LQCD#278.04T20.74B409.62T15.28SignalTsigni cance\710.80+1.67S/BTratio60.80+0.08Z(> 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 cmbxti10F cmmi10 0ercmmi7O \cmmi5K`y cmr10ٓRcmr7Zcmr5u cmex10'