Lepton dipole moments and light (scalar) dark matter as windows to go beyond the Standard Model Antonio Masiero INFN and Univ. of Padova Kavli IPMU, Tokyo, Nov. 14, 2019
Leptondipolemomentsandlight(scalar)darkmatter
aswindowstogobeyondtheStandardModel
AntonioMasieroINFNandUniv.ofPadova
Kavli IPMU,Tokyo,Nov.14,2019
-- hintsofviolationoftheleptonflavoruniversalityinsemileptonicBdecays(??)
• ValueoftheHubbleconstantmeasuredtodayorinferredfromthePlanckresultsontheCMB
5numbers,5indicationsofphysicsbeyondtheStandardModelsofParticlePhysicsandCosmology:NEUTRINOMASSES,DARKMATTER,DARKENERGY,ANTIMATTER andVACUUMENERGY
>0.1%
~68%
~27%
0%
1062 % ??thankstoH.Murayama
Thequestioncanberephrasedinto:IsDMagoodhonestweakly(butnottooweakly)interacting (withtheSMparticles)massive(typicallyO(100GeV))particle,i.e.a“traditional”WIMPpartofanextensionoftheSMaccountingfora(possiblynatural)explanationofthe(incrediblysmall)electroweaksymmetrybreakingscaleMW (ascomparedtothePlanckscaleMPl) andconstitutinganSMUVcut-offattheTeV scale?
OrIsDMunrelatedtotheexistenceofanaturalsolutionofthegaugehierarchyproblem.i)Inthiscase DMcanbepartofanSMextensionatE>>MW (forinstanceE~mutiTeV)andthen,presumably,MDM >O(1TeV)(heavyDM)orii)DMcouldbea(very)lightparticlecouplingveryweaklytotheSMparticlesbeingpartofanewdarksectorofthetheorycommunicatingwiththeSMparticlesonlythroughaspecific“portal”,i.e.oneormoreparticlesbridgingthe“darkworld”with”our”SMworld(inthiscasetheDMsectorisnotpartofalargertheoryextendingtheSM,butitcouldbeaseparatesectorofthetheory)
TheDMdilemma:tobeor nottoberelatedtotheelectroweaksymmetrybreaking?
ProsandconstobeaWIMPDM(I)Pros:• i)theWIMPcoincidenceoremphaticallydubbed“WIMPmiracle”(namely:takeaweaklyinteractingO(100GeV)particleonceinthermalequilibriumandcomputeitsnumberdensitytoday– result:typicallyoneendsupwithnWIMP ~10-8 cm-3 leadingtothecorrectDMamount!;
• ii)suchWIMPDMtypicallyconstitutesaformofCOLDDM(hencecorrectlyaccountingforthemainbulkofobservationsonlargescalestructuresdistribution)
• iii)remarkablyenough,themainSMextensionsenvisagedtocopewith”natural”explanation ofthegaugehierarchypuzzleMW <<MPlentailthepresenceofastableparticle,typicallythelightestofthenewparticles characterizingsuchSMextension,whichisapotentiallygoodWIMPDMcandidate.
ProsandconstobeaWIMPDM(II)Thecons:i) Inspiteofconstitutingthemost“wanted”particlecandidateforDM,no
WIMPsignal(oratleasthint)haseveremergedwithsearchesreachingsensitivitiestoWIMP-nucleicrosssectionsdownto10-10 pb;
ii) Thenegativeresultscomingfromhigh-energyandflavourphysics(inparticularLHC)searchesofnewphysicsparticlesaroundthecorner,i.e.intheO(1TeV)massrange,have(largely)reducedourenthusiasmforaTeV newphysicsdirectlylinkedtoanaturalsolutionoftheMW <<MPlgaugehierarchyproblem.And,asaconsequence,thelightestTeV newphysicsparticlehaslostitsappealas“natural”candidateforDM
iii) Themain“victim”ofthislostconnectionDM– TeV newphysicsisundoubtedlytheLightestSUSYParticle,LSP,typicallythelightestneutralino inSUSYmodelswithRparity
New physics Λ energy scale and (g-2)μIf New Physics (NP) at a scale Λ gives the contribution δmμto the muon mass, then such NP leads to a loop contribution to the muon magnetic moment aμ :
Czarnecky and Marciano, 2001; Stockinger 2010
~ O(α/4π) if perturbative contributions to the muon mass
~ O (1) if the muon mass is radiatively induced
If the g-2 discrepancy between exp. and SM expectation is a real fact and if we invoke NP to account for it, then
Λ NP has to be at or below the TeV scale !
Minimal extensionsoftheSMtoaccountforthe(g-2)μ anomaly
AdditionofaSINGLENEWFIELD:i) Theadditionofasinglefermioncannotexplainthisanomaly;(C.Biggio 2008;Freitas,Lykken,Kell,Westhoff 2014;Biggio,Bordone 2014)
ii) Theadditionofasinglescalarcanaccountforthediscrepancyifthenewscalaris:anewHiggsdoublet;(Freitas,Lykken,Kell,Westhoff 2014;Broggio,Chun,Passera,Patel,Vempati 2014;Biggio,Bordone 2014;Cherchiglia,Kneschke,Stockinger,Stockinger-Kim2017)
oneofthetwoleptoquarks:S1/3(3,1,-1/3;Q=-1/3);D7/6(3,2,7/6;Q=5/3,2/3) Chakraverty,D.Choudhuri,Datta 2001;Biggio,Bordone 2014;Queiroz,Shepherd2014;Coluccio Leskow,D’Ambrosio,Crivellin,Muller2017
• iii) onemassivevectorboson:onlypossibilityà abeliangaugeextensions– Z’,darkphoton(Biggio,Bordone,DiLuzio,Ridolfi2016;Davoudiasl,H.-S.Lee,Marciano2014;Altmannshofer,C.-Y.Chen,Dev,Soni 2016;)
• iv)ALPs(ALP-photonphoton+ALPYukawainteractionswithleptons)
One-loopcontribution
Two-loopcontributions
Chen,Davoudiasl,Marciano,Zhang2016
Marciano,Masiero,Paradisi,Passera 2016
Pseudoscalar 1σsolutionbandstotheg-2muonanomalytakingΛ =1TeV
Scalar1σsolutionbandstotheg-2muonanomalytakingΛ =1TeV
Marciano,Masiero,Paradisi,Passera 2016
yaμ
DMandg-2aswindowstoNewPhysics
• MinimalextensionsoftheSMtoaccountfortheDM:oneadditionalfieldthatbeingneutralandstablemighthavebeeninthermalequilibriuminteractingwithordinarymatterandtodayhavethecorrectdensitytoaccountfortheDM
• MinimalextensionsoftheSMtoaccountfortheg-2anomaly:onesingleadditionalfield(leptoquark oradditionalHiggsdoubletorALPs)couplingsizeablytoleptonsand/orphotons
• IsitpossibletohavejustonesingleadditionalfieldtoaccountforboththeDMand theg-2anomaly?No,theDMfieldsintheseminimalSMextensionsdecaytooquicklytoordinarymatterparticles.Oneneedsatleasttwonewfields (forinstanceoneadditionalfermionandoneadditionalscalar) Calibbi,Ziegler,Zupan 2018
Calibbi,Ziegler,Zupan 2018
F-Sone-loopcontributiontog-2DMannihilationsintoordinarymatter
ModelswithoutandwithHiggsinsertion
Dark(light)greenregionà totalcontributiontog-2compatibleat1(2)σwiththeexperimentalresult
Calibbi,Ziegler,Zupan 2018
ModelswithoutHiggsinsertion
Twoleptonic g-2anomalies?Recent(Parkeretal.2018)moreprecisedeterminationofthefinestructureconstant
2.4σ discrepancy(oppositeinsignw.r.t.tothemuoncase)
Asinglescalarsolutiontobothanomalies?Yes,ifthetwo-loopBarr-Zeediagrams
dominateovertheoneloopscalarcontributionstothe(g-2)e
withrelativelylargecouplingstotheelectronandthetwophotonsDavoudiasl andMarciano2018
Combinedexplanationof(g-2)e AND(g-2)μwithalargemuonEDM
• EFTanalysis(Crivellin andHoferichter,May2019)
SimultaneousexplanationpossibleinmodelswithchiralenhancementBut,
veryimportant,oneneedsaDECOUPLINGoftheelectronandmuon
BSMsectorstoavoidtheverystringentlimitonBR(μà e+Ɣ)
SuchdecouplingentailsthatthereisnocorrelationbetweentheEDMsoftheelectronandmuon,i.e.theverystringentboundonde doesnotnecessarilyimplyaverysmalldμ