Top-quark rare decay $tto c h$ in R-parity-violating SUSY

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arXiv:hep-ph/0102037v2 10 May 2001MADPH-01-1212hep-ph/0102037

Top-quarkraredecayt→chinR-parity-violatingSUSY

G.Eilam1,A.Gemintern1,T.Han2,J.M.Yang3andX.Zhang41PhysicsDepartment,Technion,32000Haifa,Israel

2DepartmentofPhysics,UniversityofWisconsin,Madison,WI53706,USA

3InstituteofTheoreticalPhysics,AcademiaSinica,Beijing100080,China

4InstituteofHighEnergyPhysics,AcademiaSinica,Beijing100039,China

AbstractTheflavor-changingtop-quarkdecayt→ch,wherehisthelightestCP-evenHiggsbosonintheminimalsupersymmetricstandardmodel,isexaminedintheR-parity-violatingsupersymmetricmodel.WithintheexistingboundsontherelevantR-parity-violatingcouplings,thebranchingfractionfort→chcanbeaslargeasabout10−5insomepartoftheparameterspace.

TypesetusingREVTEX1Thestudyofheavy-particledecaysviaflavor-changingneutral-currents(FCNC)hasbeenplayinganimportantroleintestingthestandardmodel(SM)andprobingnewphysicsbeyondtheSM.AstheheaviestelementaryparticleintheSMwithamassattheelectroweakscale,thetopquarkismorelikelytobesensitivetonewphysics.KinematicallyitisaccessibletomanyFCNCdecaymodes,suchast→cV(V=γ,Z,g)andt→ch,wherehisaHiggsboson.IntheSMtheseFCNCdecaymodesarehighlysuppressedbyGIMmechanism,withbranchingfractionstypicallyof10−13−10−10[1,2],whicharetoosmalltobedetectableatcolliderexperiments.Ontheotherhand,observationofanyofsuchFCNCtop-quarkdecayswouldberobustevidencefornewphysics[3–6].Topquarkswillbecopiouslyproducedatthenextgenerationofhadroncolliders.AttheupgradedFermilabTevatronwithanintegratedluminosityof10fb−1,therewillbeabout8×104topquarksproduced,whiletherewillbeabout100timesmoreattheLHCwiththesameluminosity.Withsuchlargedatasamples,goodsensitivitiesmaybereachedforsearchingfortheraredecaychannelst→cV[3],andforstudyingotherrelatedprocessesathadroncolliders[4].Amorerecentstudyshowedthatthechannelt→chcouldalsobedetectable[5],reachingasensitivitylevelforthebranchingfractionBr(t→ch)∼5×10−5attheLHCandafewpercentattheTevatron.WhilethesehighdetectionsensitivitiesarestillfarabovetheSMexpectationfortheraredecaychannels[1,2],inmanyscenariosbeyondtheSMthebranchingfractionsoftheseFCNCtop-quarkdecayscouldbesignificantlyenhanced[1,6–11].Intheminimalsupersymmetric(SUSY)standardmodel(MSSM)[12]withR-parityconservation,itwasshown[8]thatthepossibilityforobservingthedecaychannelt→chcouldbegreatlyenhanced(herehisthelightestCP-evenHiggsboson).KinematicallythisdecaymodeisalwaysallowedbecauseofthestricttheoreticalupperboundontheHiggsbosonmass[13],andthedecayreceivesdominantcontributionsfromtheSUSYQCDloopsofflavor-changinginteractions[8].IfthegluinoandsquarksinvolvedinthecontributingSUSYQCDloopsarebothlightoforder100GeV,thebranchingfractioncouldbeenhancedtoalevelof10−5.Thebranchingfractionfallsoffquicklyforheaviersparticlesintheloops.InthisLetterweexaminetheR-parity-violatingcontributionstot→ch.Itiswell-knownthattheR-parityconservationinSUSYtheory,whichimpliestheseparateconservationofbaryonnumberandleptonnumber,isputinbyhand.R-parityviolation(R)canbemadeperfectlyconsistentwithotherfundamentalprinciplessuchasgaugeinvariance,supersym-metryandrenormalizability[14].IfR-parityviolationisincludedintheMSSM,t→chwillreceivenewcontributionsfromtheloopsofR-parity-violatinginteractions.Suchcon-tributionscanbesignificantforthefollowingreasons.First,suchcontributingloopsonlyinvolveasinglesparticle,i.e.,asquarkoraslepton.ThemasssuppressionintheloopsthusbecomeslessseverethanthatintheMSSM.Second,therelevantRcouplingsinducingt→chinvolvethethird-generationfermionsandaresubjecttoratherweakboundsfromlow-energyexperiments.Wefindthatthebranchingfractionfort→chfromRcontribu-tionscanbeindeedashighasabout10−5insomepartoftheparameterspace,reachingalevelofpotentiallyaccessibleattheLHCwithahighluminosity.WestartourstudybywritingdowntheRsuperpotentialoftheMSSM

WR=12λ′′ijkUciDcjDck+µiLiH2,(1)whereLi(Qi)andEi(Ui,Di)aretheleft-handedlepton(quark)doubletandright-handed2FIG.1.Feynmandiagramsoft→chinducedbyBSUSYinteractions.lepton(quark)singletchiralsuperfields.i,j,karegenerationindicesandcdenoteschargeconjugation.NotethatSU(2)LandSU(3)Cindiceshavebeensuppressed.H1,2aretheHiggs-doubletschiralsuperfields.Theλijkandλ′ijkarethelepton-number-violating(L)cou-plings,andλ′′ijkthebaryon-number-violating(B)couplings.Constraintsonthesecouplingshavebeenobtainedfromvariouslow-energyprocesses[15–21]andtheirphenomenologyathadronandleptoncollidershavebeenintensivelyinvestigatedrecently[21,22].NotethatalthoughitistheoreticallypossibletohavebothBandLinteractions,thenon-observationofprotondecayprohibitstheirsimultaneouspresence,atleastinthefirsttwofermiongen-erations.WethereforeassumetheexistenceofeitherLcouplingsorBcouplings,andinvestigatetheirseparateeffectsintop-quarkdecayt→ch.Wefocusourattentiononlyonthetri-linearsupersymmetricRinteractionsinEq.(1)andassumethatthebi-lineartermsµiLiH2canberotatedawaybyafieldredefinition[14].InthiscasetheFCNCdecayt→chisinducedbyonlythetri-linearRinteractionsvialoops.Notethat,inprinciple,therearealsopossibleRtermsinthesoft-breakingpart[23].Inthatcase,itisnolongerpossibleingeneraltorotateawaythebi-linearterms[23,24]andsuchbi-lineartermswillcausethemixingbetweentheneutralHiggsbosonsandthesneutrinos(˜ν).Asstudiedin[10],theFCNCdecayt→c˜νcanbeinducedbytheone-loopdiagramsofthetri-linearcouplings.Followedbytheoscillation˜ν→hinducedbythebi-linearRterms,onecanalsohavet→c˜ν→ch,which,however,isonlyappreciablewhenhand˜νarenearlydegenerate.Wewillnotconsiderthispossibilityfurther.Intermsofthefour-componentDiracnotation,theLagrangianoftheLcouplingsλ′andBcouplingsλ′′aregivenby