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Dark Matter Stability From FLAvor · PDF fileDark Matter Stability From FLAvor SYmmetry ... ­ flavor symmetries, abelian, non­abelian, continue, discrete ­ ... ,GUT, DM help us

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  • DarkMatterStabilityFrom

    FLAvorSYmmetry

    StefanoMorisiStefanoMorisiUniversityofWurzburg

    Bruxelles,1stMarch2013

  • FLASY13FLASY13Niigata1July5JulyNiigata1July5July

    GlobalneutrinodataGlobalneutrinodataFlavorsymmetriesFlavorsymmetriesGUTGUTDarkMatterDarkMatterColliderphenomenologyColliderphenomenology0nubb0nubb

  • DMlifetime>ageoftheuniverse

    stableDM decayingDM

    Z2:DMDM

    SM+SM

  • Z2istypicallyimposedbyhand

    sinceintheSMtherearestableparticleswithoutintroducinganyadhocsymmetry

    photon,electron,neutrino,proton

    Itseemstherearenomotivationstoassumeanadhocsymmetry

    possibleoriginofDMstability:

    RparityinMSSM(LSP)U(1)fromGUTBL

    Hambye1012.4587

  • DMstabilityfromflavorsymmetry

    Gfflavor

    DM

  • Outlineofthetalk

    Flavorproblem

    Flavorsymmetry:TBM&discretegroups

    StabilityofDMfromflavorsymmetrybreaking

    Examples

    Conclusions

  • flavorproblem&

    flavorsymmetry

  • Fermionmasshierarchies

  • S.Morisi UniversityofWurzburg

    Originofneutrinomass

    L

    Weinbergdim5op

    Dirac Majorana

    L=2L=0

    Lowenergy Highenergy

    TypeI,IITypeIIIInverse Linear Radiative...

    opdim>5

  • S.Morisi UniversityofWurzburg

    leptonvsquarkmixing

    quarksaswellasleptonsmix quark/lepmixingverydifferent

  • S.Morisi UniversityofWurzburg

    whythreefamilies?whyfermionmasshierarchies?intheSMthereisnoreasontohaveverydifferentmasseswhyquarksandleptonsmix?whyquarks/leptonmixingaresodifferent?

    Theflavorproblem

    neutrinoareDiracorMajorana?whatistheabsoluteneutrinomassscale?whatistheneutrinomasshierarchy?CPisviolatedintheleptonsector?

  • S.Morisi UniversityofWurzburg

    Differentapproachestoflavorproblem

    correlationsbetweenmixingandmasseslikeintexturezero

    grandunification

    flavorsymmetries,abelian,nonabelian,continue,discrete

    .....

    itisnotaproblem:noreasonwhyme

  • S.Morisi UniversityofWurzburg

    Theflavorsymmetry

    horizontalsymmetrylikeSU(3)tripletsve

    rtic a

    lgau

    ges

    ymm

    e try

  • NormalHierarchyFlavorsymmetry&flavorproblem:status

    Theflavorproblemisstillthere:whythreefamilies?Noideairrep=3offlavorsymmwhyfermionmasshierarchies?NoideaFN?whyquarksandleptonsmix?Maybeflavorsymmbreakingwhyquarks/leptonmasses&mixingaresodifferent?MaybeneutrinoareMajorana(seesaw?)&flavorsymm

    Wehavemanygoodmodelsforquarks&leptonmixing:toomany!

    MostofthesemodelsarephenomenologicallyequivalentMaybe0nubb,LVF,LHC,....,GUT,DMhelpustodistinguish

    InaquitenearfutureexperimentscouldtellusifNeutrinoareMajorana,theirmasshierarchyandCPphase,MoreoverwewillhavemoreinfoaboutHiggssectorWillthisfixtheneutrinosector??

  • TBM&discretegroups

  • S.Morisi UniversityofWurzburg

    Bimaximaltrimaximal

    Harrison,Perkins,Scott2002

    TriBimaximalMixing(TBM)

    Forabout10yearsdatahavebiasedustowardsTBM

  • S.Morisi UniversityofWurzburg

    2011vs2012neutrinomixingdata

    2011

    2011

    2012

    2012Gonzalez et al

    Bari group

    Valencia group

    Gonzalez et al

    Bari group

    Valencia group

    1/2 1/3 0

  • S.Morisi UniversityofWurzburg

    TBMisruledout!

    2012

    2012Gonzalez et al

    Bari group

    Valencia group

    23 is not maximal @ 1sigma - 13is not zero

  • S.Morisi UniversityofWurzburg

    Differentansatz:trimaximal,tetramaximal,

    symmetricmixing,hexagonmixing,bimaximal,

    golden,..Albright,Dueck,Rodejohann1004.2798

    BilargeBoucenna,M,Tortola,Valle1206.6678

    BiTrimaximalKing,Luhn,Stuart1207.5741

    Gf

    DeviationofTBM Anarchy?

    Hall,Murayama,Weiner,PRLAltarelli,Feruglio,Masina,JHEPGouvea,Murayama1204.1249

  • S.Morisi UniversityofWurzburg

    A4

    S3

    T

    D(27)

    Babu,Ma,VallePLB552Altarelli,FeruglioNPB720

    S4 LamPRL101Bazzocchi,MorisiPRD80

    Feruglio,Hagedorn,Lin,MerloNPB775Car,FramptonAranda,Carone,LebedPLB474

    Grimus,Lavoura,JHEP0904Mohapatra,Nasri,YuPLB639

    Medeiros,King,RossPLB648

    forareviewofthepropertiesofthesegroupsseeIshimori,Kobayashi,Ohki,Okada,Shimizu,Tanimoto1003.3552

    Discretegroups&TBM

  • S.Morisi UniversityofWurzburg

    AgroupG={A,B,C,...}whichconsistofafinitenumberofelementsgisafinitegroupif

    thesetisclosewithrespecttothecompositionlawassociativecancellingrule:AX=BXandYA=YBA=B

    Introductiontodiscretegroups

  • S.Morisi UniversityofWurzburg

    Toeachfinitegroupcorrespondsamultiplicationtable

    g=6

    Notalltheproductareindependent:

    AC=E,CB=E,BB=A,CB=E,AE=DCA=D

    Itexistsasetofelementsandasetofindependentrelationsassociatedtoeachmultiplicationtable

  • S.Morisi UniversityofWurzburg

    Setofelements

    Setofrelations

    A3=C2=(AC)2=I

    A,C

    I, A ,A2 ,C, AC,CA

    I=A=

    A2=C=

    CA=AC=

    Generatorofthegroups

  • S.Morisi UniversityofWurzburg

    Generatorofthegroups

    Everyfinitegroupiscompletelydeterminatefrom

    asetofgenerators

    asetrelations

    examples

  • S.Morisi UniversityofWurzburg

    DihedralDngroups

    Considerthelamina

    Itisinvariantundernrotations(Ageneratorofrotations)

  • S.Morisi UniversityofWurzburg

    DihedralDngroups

    Considerthelamina

    Wecanreflectthelaminaaroundanaxis(Bgeneratorofthereflaction)

  • S.Morisi UniversityofWurzburg

    DihedralDngroups

    Considerthelamina

  • S.Morisi UniversityofWurzburg

    DihedralDngroups

    Considerthelamina

    Allthetransformations(elementsofthegroup)are

    generatorsgetofrelations

  • StabilityofDMfrom

    flavorsymmetrybreaking

  • Gf ZN

    r=(r1,r2,r3,....) atleastonecomponentofrisoddunderZ2

    1)

    2)

    Weneed:

    (Z2)

  • S.Morisi UniversityofWurzburg

    A4groupIsomorphictogroupofthetraedronrotations

    C1:IC2:T,ST,TS,STSC3:TT,STT,TTS,TSTC4:S,TTST,TSTT

    12elem.

    12rotations

    CH4

    Smallestgroupwithtripletirrep3

  • S.Morisi UniversityofWurzburg

    Gf Z21)

    Z2 Z3

    GeneratorsofA4

    Sgeneratorof

  • S=

    Z2generatorof

    S= A4 Z2spontaneously

  • r=(r1,r2,r3,....) atleastonecomponentofrisoddunderZ2

    2)

    A4irrep:1,1',1'',3

    3=(a1,a2,a3) (+a1,a2,a3)Z2:

    Thefieldina2ora3canbeourDMcandidate

  • S=

    Howa3transformsundertheZ2ofA4

    canbeourDMcandidate

  • r=(r1,r2,r3,....) atleastonecomponentofrisoddunderZ2

    2)

    A4irrep:1,1',1'',3

    areevenunderZ2 DMcannotbeasingletofA4

  • TheModel:discretedarkmatter

  • A4isspontaneouslybrokenin

    Z3inthechargedsector Z2intheneutrinosector

    TBM

    A4totallybroken!

    Altarelli,FeruglioNucl.Phys.B720(2005)

    S:(1,0,0)T:(1,1,1)

  • A4isspontaneouslybrokenin

    Z2inthechargedsector Z2intheneutrinosector

    TBM

    Hirsch,Morisi,Peinado,Valle,PRD82(10')

    unbrokenZ2stabilizetheDMunbrokenZ2stabilizetheDM

    Z3broken

  • Matterassignment:chargedsector

    chargedlepmassmatrixdiagonalandZ2invariant

    chargedleptonsinsingletsofA4

  • ThemodelDM

  • ThemodelDM

    1x1x3isnotA4invariant

    DMdoesnotcoupletochargedleptons

  • DMcouplings

    A4133Z2+

    Higgsportal

    DMstability

    gauge

  • InertDMHiggsportal

    Barbieri,Hall,Rychkov,PRD74(06')LopezHonorez,Nezri,Oliver,Tytgat,JCAP0702(07')Gustafsson,Lundstrom,Bergstrom,Edsjo,PRL99(07')Lundstrom,Gustafsson,EdsjoPRD79(09')Andreas,Arina,Hambye,Ling,Tytgat,PRD82(10')Chu,Hambye,Tytgat,JCAP1205(12')Gustafsson,Rydbeck,LopezHonorez,LundstromPRD86(12')

    Boucenna,Hirsch,Morisi,Peinado,Taoso,Valle,JHEP1105(11')

    FourHiggsintheDDM

  • mH

    light

    estH

    iggs

    mas

    s

    DMmass

    DAMA/LIBRA

    COGENT

    XENON100

    CDMS

    Boucenna,Hirsch,Morisi,Peinado,Taoso,Valle,JHEP1105(11')

    Relicdensitydirectdetection

  • Neutrinophenomenology

    IH:0.03eV

  • Hirsch,Morisi,Peinado,Valle,PRD(10')DiscreteDM(DDM)

    Boucenna,Hirsch,Morisi,Peinado,Taoso,ValleJHEP(11')relicdensity,detection

    Meloni,Morisi,Peinado,PLB(11')differentneutrinopheno

    Meloni,Morisi,Peinado,PLB(11')A4D4

    AdelhartToorop,Bazzocchi,Morisi,NPB(12')quarksector

    Boucenna,Morisi,Peinado,Shimizu,Valle,PRD(12')A4Delta(54)

    Kajiyama,OkadaNPB(11),Adulpravitchai,Batell,PradlerPLB(11),Kajiyama,Okada,TomaEPJC(11)Batell,Pradler,SpannowskyJHEP(11),LavouraJPG(12),Kajiyama,Kannike,RaidalPRD(12),Eby,FramptonPLB(12),Lovrekovic(12)

  • A4333Z2 +

    IsitpossibletoassignLtoirrep>1?

    DMcandecaysintolightneutrinos!

  • WesearchforagroupGthatcontainsatleasttwoirrep

    allitscomponentsareinvariantunderasubgroupZNofG

    atleastoneofitscomponenttransformswithrespecttoZN

    DMcandidate

  • D(54)hasasubgroup Z3xZ3

    Ishimorietal.,Prog.Theor.Phys.Suppl.183

    InvariantunderZ3xZ3

    Boucenna,M,Peinado,Shimizu,VallePRD(12)

    DM:transformsunderZ3xZ3

  • StableInert:nocouplingwithfermions

  • RENO

    DAYABAY

  • Summassrule

    Barry,RodejohannNPB842(2011)Dorame,Meloni,M,Peinado,ValleNPB861(2011)

  • S.Morisi UniversityofWurzburg

    Outlook

    Neutrinomass DarkMatter

    ScotogenicmodelMa,PRD73(06')

    CocktailmodelGustafsson,No,Rivera(12')

    DMcandidate

  • S.Morisi UniversityofWurzburg

    ScotogenicmodelMa,PRD73(06')

    DMweekconnectionbetweenDMandneutrino

    deepercon