THEUNDERLYINGEVENTINHARDSCATTERINGCOLLISIONS OFPROTONANDANTIPROTONAT1.8TEV By RICHARDMARTINHAAS ADISSERTATIONPRESENTEDTOTHEGRADUATESCHOOL OFTHEUNIVERSITYOFFLORIDAINPARTIALFULFILLMENT OFTHEREQUIREMENTSFORTHEDEGREEOF DOCTOROFPHILOSOPHY UNIVERSITYOFFLORIDA 2001 ACKNOWLEDGMENTS Itisdifficultformetoenvisionreachingthisstagewithoutthesupportofseveral people. Whetheritwasthelate-nightconversations,thewordsofencouragement, orthefriendshipshownbysomany,Iappreciatedtheexperiences. Inparticular, thereareafewindividualswhohaveplayedsignificantrolesandwhomIwishto expresslythank. RickFieldprovidedinvaluableadviceandguidanceoverthecourseofmygrad- uatecareerattheUniversityofFlorida. Hecreatedanenvironment inwhichI wasencouragedtopursuevarioustopicswhilealwayshavingrecoursetohiscoun- sel. Instead ofproducing anautomaton, thissettingyielded aneducated and enthusiasticscientistcapableofindependentthought. Rick’sroleasamentorand good-naturedwillingnesstofurthermydevelopmentcontributedstronglytomy progress. Hiswillingnesstoofferhonestwordsandopinionsconcerningthesig- nificantopportunitiesavailabletomeinevitablyservedtoaidincastingthebest possibledecisions. Bothfriendandadvisor,hehastaughtmemuchoverthelast fewyears. OriginallyIbegangraduateschoolwiththeintentofconcentratingontheoreti- calcosmology.Whilemyowninterestschangedtoparticlephysics,hadIcontinued withastrophysics,IknowthatIwouldhaveenjoyedworkingforJimFry. Jimwas oneofthefirst UniversityofFloridaprofessors Imet. Healwaysofferedgood adviceandoccasionallyprovidedhisvaluablesignatureforgrantproposals. The choicetofollowadifferentcourseofstudycamewithsomeremorseforIconsidered ii Jimtobeanexcellentphysicistandaclosefriend. Fortunately,hehasremained afriendandanindividualwhoseopinionIseekwhenmakingdifficultdecisions. I willmisstheultra-hotThaifoodandtheinsightfulconversations. Asathirdyearstudent,Ihadthegoodfortunetobeintroducedtoexperimental particlephysicsbyGuenakhMitselmakherthroughacoursehetaught. Hewould lace his descriptions ofdetector anatomywiththe stories ofvariousscientists’ missedopportunitiesforadiscoveryortheexcitementoffindingnewphenomena (severalstoriesofPontecorvocometomind). Heandhistalesaddedanexcitement toparticlephysicsthatattractedseveralyoungstudentstothefield. Guenakh’s dedication,noticeablebythemanyhoursspentinthedepartmentatnightworking, wasnotlostonme. IknowthattheCMSendcapmuonsystemwillbesuccessful underhisguidinghandandwishhimthebest. MyindoctrinationintothecultureofCDFwouldhaveentailedadditionalob- staclesifnotforAndreiNomerotski. Hepatientlytaughtmetheintricaciesofthe Run1 analysissoftwareintheunfortunatelynecessarytribalnatureoflearning howtousetheprograms. Oneofthemostinsightfulandintuitiveexperimentalists Iknow,heillustratedthatsimpleargumentsusingreasonableassumptionsoften servethesamepurposeandleadtoabetterunderstandingofthephysicsthanthe derivationofarbitrarilycomplexsetsofequations. IthankAndreiforenriching myunderstandingofexperimentalparticlephysics. Severalfriendshaveprovidedfondmemoriesduringmytimeasagraduatestu- dent. Whileitseemsunfairtomentiononlycertainindividuals,nomaliceismeant inexplicitlythankingthemandnotothers. BrianBakerinsuredthatIsawocca- sionalsunlightwithroundsofgolfinthespringandassistedwithvariousbusiness initiativesthatallowedforalifeoutsideofphysics. ThemonthlyspaghettiWest- ernrenaissancefestatMikeJones’placeprovidedneededbreaks. Aftermoving west,movienightwasreplacedwiththebiannualpilgrimagetoLoard’s. Evenings attheFermilabUser’sCenterwithAlexeiSafonovalwaysprovedinteresting. My experiencewiththeintermediatesiliconlayersfortheRunIIupgradewouldhave beenlessfulfillingifnotforTonyAffolder,ChrisHill,andformerCDFgodparent JoelGoldstein. ConferencesattheStanfordLinearAcceleratorCenterprovided opportunitiestovisitCareyHeckman. TheweekendhikesinthePaloAltofoothills andmemorableconversationswerealoneworththetrips. Withoutthesupportandencouragementofbothmymotherandfather,com- pletingmygraduatestudieswouldhavebeenmuchmoredifficultifnotimpossible. IcherishedtheSundayphonecallsandexcursionstoFermilab. Icanonlyhope thatmyachievementshavemadethemproud. Sisu,thefluffiestcat,wasmycompanionthroughoutmygraduateexperience inFlorida. Herneedsofplayingwitharibbon, awarmlaptositon, andme scratchingherheadconstitutedtherapeuticrelaxationafterlongdaysandnights inthedepartment. WordsserveaspoormessengerstoexpressthefeelingsIhaveforlisaWebeck. Herloveandencouragementhavebeenpricelessduringtheseyears. IV TABLEOFCONTENTS ACKNOWLEDGMENTS ii LISTOFTABLES viii LISTOFFIGURES x ABSTRACT xxii CHAPTERS 1 PARTICLEPHYSICS 1 1.1 HistoricalPrelude 2 1.2 ParticlesandForces 8 1.3 ParticleTheories 12 2 STANDARDMODELDYNAMICS 17 2.1 QuantumChromodynamics 17 2.1.1 AsymptoticFreedom 23 2.1.2 PartonDensities 31 2.1.3 QCDQuestions 37 2.2 HadronCollisions 38 2.3 ModelingCollisionEvents 42 2.3.1 Monte-CarloModels 42 2.3.1.1 HERWIG 45 2.3.1.2 ISAJET 47 2.3.1.3 PYTHIA 51 3 THETEVATRONANDCDF 54 3.1 TheFermilabAccelerators 55 3.2 ColliderDetectoratFermilab 62 3.2.1 SiliconVertexDetector 70 3.2.2 VertexTrackingChamber 74 3.2.3 CentralTrackingChamber 76 3.2.4 Calorimeters 81 3.2.5 MuonChambers 84 v 3.2.6 BeamBeamCounters 85 3.2.7 Triggers 88 4 DATACONSTRUCTIONANDREDUCTION 94 4.1 Min-BiasData 95 4.2 Jet20Data 97 4.3 ZBosonData 99 4.4 J/-0BData 104 4.4.1 J/?/>Selection 107 4.4.2 EventSelection 109 5 DATAANALYSISTECHNIQUES 115 5.1 JetDefinitions 117 5.2 A(pCorrelations 118 5.2.1 AngularCorrelationsinMin-BiasandJet20Data 121 5.2.2 AngularCorrelationsinZData 128 5.2.3 AngularCorrelationsinJ/ipBData 133 5.3 Systematics 142 6 EVENTSTRUCTURE 143 6.1 EventStructureinDijetData 143 6.1.1 TheDijetTransverseRegion: TheoryandData 149 6.1.1.1 SourcesofChargedParticleMultiplicity 154 6.2 EventStructureinZData 159 6.2.1 TheZTransverseRegion: TheoryandData 164 6.3 EventStructureinJ/ijjBData 170 6.3.1 EventStructureusingtheLeadingJet 171 6.3.1.1 ComparisonofJ/ipandDijetData 175 6.3.2 EventStructureusingtheJ/i\) 180 6.3.2.1 ComparisonofJ/^jjandZData 185 7 CONCLUSION 192 7.1 TheoreticalComparisons 192 7.2 TheUnderlyingEvent 194 7.3 FutureEndeavors 195 APPENDICES A NOTATION 197 A.l Metric,FourVectors,andOperators 197 A.2 Levi-CivitaTensor 198 vi B MATRIXPROPERTIES 199 B.l GammaMatrices 199 B.2 Gell-MannMatrices 202 C DATASYSTEMATICS 205 REFERENCES 209 BIOGRAPHICALSKETCH 215 vii LISTOFTABLES 1.1 ThefundamentalfermionsintheStandardModel 9 1.2 StandardModelgaugebosonpropertiesandmediatedforces 11 3.1 CDFdetectorsystems. Thesystemsarecomposedofseveralele- mentswhicharedenotedbyvariousabbreviations 69 3.2 CharacteristicsoftheCDFcalorimeters. Segmentationcorresponds tothe tower size in At?xA(f> and energy resolution is given by oe/\[EwithenergymeasuredinGeV.Thesymbol®intheenergy resolutiondenotesadditionoftheconstantterminquadrature. . . 84 3.3 CDFLevel1,2,and3triggeracceptanceratesataninstantaneous luminosityof5x1030cm-2sec-1 89 4.1 TheMin-Biasdatasampleusedintheanalysisoftheunderlying event 96 4.2 TrackselectioncriteriafortheMin-Biasdatasample 97 4.3 Level 1, Level 2, and combined prescaling factors for the Jet20, Jet50,Jet70,andJetlOOdatasamples 98 4.4 TheJet20datasampleusedintheanalysisoftheunderlyingevent. 98 4.5 Selectioncriteriafortheinclusiveelectrondatasample 100 4.6 SelectioncriteriaforthelooseZdatasample 101 4.7 TrackselectioncriteriafortheZdatasample 104 4.8 Numberofeventssatisfyingtheselectioncriteriausedtocreatethe Zsample 104 4.9 CDFLevel2dimuontriggers 108 4.10 SelectioncriteriawhichformadatasamplecontainingJ/t/jcandi- datespredominatelyfromBdecay 113 viii 4.11 SelectioncriteriatocreateadatasamplecontainingJ/ijjcandidates withhighefficiencyintheCTCandcharacteristicsappropriateto theunderlyingeventanalysis 114 7.1 Averagechargedmultiplicityandscalarprsuminthetransverse regionsforthedatasamplesusedinthisanalysis 194 IX LISTOFFIGURES 2.1 Feynmandiagramforthetreelevelquark-gluonvertex 30 2.2 Feynmandiagramsfortreelevelqqproductionfromqqandgluon pairs 31 2.3 Illustrationofappcollisioninwhicha“hard”2-to-2partonscatter- ingwithtransversemomentum,p^ard,hasoccurred. Theresulting “dijet”eventcontainsparticlesthatoriginatefromthetwooutgoing partons(plusfinal-stateradiation)andparticlesthatcomefromthe breakupoftheprotonandantiproton(i.e. “beam-beamremnants”). 40 2.4 Illustrationofappcollisioninwhichmultiplepartoninteractions haveoccurred. Inadditiontothe “hard” 2-to-2partonscattering withtransversemomentump)?rd,thereisanadditional“semi-hard” parton-partonscatteringthatcontributesparticlestotheunderlying event. ForPYTHIA, weincludethecontributionsfrommultiple partonscatteringinthebeam-beamremnantcomponent 40 2.5 IllustrationofappcollisioninwhichaZbosonwithlargetransverse momentum,pr{Z),hasbeenproduced. Theresultingeventcontains particlesthatoriginatefromthe“away-side”outgoingparton(plus final-stateradiation)andparticlesthatcomefromthebreakupof theprotonandantiproton(i.e. “beam-beamremnants”) 41 3.1 TheensembleofacceleratorsusedforRunIoftheTevatron. The experimentbeginsintheCockroft-Waltongenerator(notshownin thefigure)locatedbeforethelinearaccelerator. TheMainRingand Tevatronphysicallysharethesametunnel 56 3.2 Mechanismtoproduceantiprotons. Protonscollidewithatarget whichgivesrisetoabroadspectrumofsecondaryparticles. The secondaryparticlesarefocusedbyalithiumlens. Apulseddipole magnet selects antiprotons, while the remainingparticles are di- rectedtowardsabeamdump 59 X «