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Quark flavour observables in 331 models in the flavour precision era . Fulvia De Fazio INFN- Bari. EPS HEP 2013 Stockholm. the flavour precision era a NP scenario to look at flavour observables : 331 model conclusions. Based on A.J. Buras , J. Girrbach , M.V. Carlucci,FDF

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Quark flavour observables in 331 models

in the flavour precision era

Fulvia De Fazio

INFN- Bari

EPS HEP 2013 Stockholm

  • the flavourprecision era

  • a NP scenario to look at flavourobservables: 331 model

  • conclusions

Based on

A.J.Buras, J. Girrbach, M.V. Carlucci,FDF

JHEP 1302 (2013) 023


FlavourPrecision Era (FPE): working assumptions

  • CKM parametershavebeendeterminedbymeansoftree-leveldecays

  • Non-perturbativeparameters are affectedbyverysmalluncertainties and fixed

Two scenarios

|Vub| fixedto the exclusive (smaller) value

|Vub| fixedto the inclusive (larger) value

Usingg  68° :

|Vub| in scenario 1 |Vub| in scenario 2

requires NP enhancing B(B tnt) no NP requiredforB(B tnt)

reproduces the experimentalvalueforSJ/yKs SJ/yKshigherthanexperiment

suppresseseKw.r.t.experimenteKconsistentwithexperiment

DMs,dagreewithinuncertainties, slightlypreferringmodelspredicting a smallsuppression


P. Frampton, PRL 69 (92) 2889

F. Pisano & V. Pleitez, PRD 46 (92) 410

331 Model: general features

Gaugegroup: SU(3)C X SU(3)L X U(1)X

SpontaneouslybrokentoSU(3)C X SU(2)L X U(1)X

SpontaneouslybrokentoSU(3)C X U(1)Q

Nice

features:

  • requirementofanomalycancelation + asympoticfreedomof QCD implies

  • numberofgenerations=numberofcolors

  • two quark generationstransformastriplets under SU(3)L , oneasanantitriplet

  • thismayallowtounderstandwhy top mass is so large

Fundamental relation:

  • Key parameter: defines the variantof the model

  • b=13 (331 variant)

  • leadstointerestingphenomenology

  • newgaugebosonshaveintegercharges


331 Model: new particle content

Singlycharged

New GaugeBosons

Neutral

Neutral

Mediatestreelevel FCNC in the quark sector

(couplingstoleptons are universal)

ExtendedHiggssector

Three SU(3)Ltriplets, onesextet

D,S newheavyquarkswith Q=-1/3

Tnewheavy quark with Q=2/3

Elnewheavyneutrinos (both L & R)

New heavyfermions


331 Model: quark mixing

Quark mass eigenstatesdefinedupon rotation throughtwounitarymatricesUL& VL

In contrastto SM onlyoneofthem can betradedfor VCKM,

the otheroneenters in Z’ couplingstoquarks


331 Model: Z’ couplings to quarks

The case of Bd,Bs,K systems

dependonly on fournewparameters:

FCNC involve only

left-handedquarks

Bd system  only on s13 and d1

Bs system  only on s23 and d2

K system  on s13 , s23 and d2 - d1

stringentcorrelationsbetweenobservablesexpected

Wefix1MZ’  3 TeV


Oases in the parameter space

from DF=2 observables

DMd

Mass difference

in the B̅d–Bd system

SyKs

CP asymmetry in

BdJ/ Ks

DMs

Mass difference

in the B̅s–Bs system

Syf

CP asymmetry in

BsJ/ f

Exampleof NP contribution:

The case ofBd mixing

Imposing the experimentalconstraints:

Onefinds the allowedoasesfor the parameters

s13 , s23 >0 & 0<d23<2p 0<d13<2p


Oases in the parameter space from DF=2 observables

A3

A4

B3

B4

B1

B2

A2

A1

A1

Blueregions SKs

Red ones DMd

Blueregions Sf

Red ones DMs

Smalloases in Bs case can beeliminatedby data on the mixing phase and on eK

Otherobservablesshouldbeconsideredtofind the optimaloasis


The decay Bsm+m-

SMeffectivehamiltonian one master function Y0(xt)

independent on the decayingmeson

and on the leptonflavour

Z’contributionmodifiesthisfunctionto:

a newphase

Theoretically

cleanobservable:

phaseof the function S

entering in the box diagram

vanishes in SM

the newphaseinvolved

LHCb 1211.2674

SM

Analogousobservables can beconsidered in the Bd case


Searching for the optimal oasis

A1,B3

A3,B3

A1,B1

A3,B1

B1

B3

FrombothBs and Bdsystems

Observables in Bd system


Searching for the optimal oasis

Triple correlation in Bs system

A3

A1

Test of the model:

Once the signofSsm+m- isdetermined

the modeluniquelypredicts the correlationbetweenSyf and B(Bsm+m-)


Correlations with eK

ItispossibletoreproduceDMs, DMd and

findeKconsistentwithexperiment


Conclusions

  • Dominant NP contributions in 331 model come fromtree-level Z’ exchanges

  • The model can remove the tensionsbetween SM and experiment

  • when 1 TeV MZ’  3 TeV

  • The parametersof the modelreproduceDF=2 observables in restrictedoases

  • The optimaloasis can beselectedlooking at otherobervables and correlationsamongthem

  • A triple correlation in the Bs system hasbeenidentifiedas a valuable test of the model

  • Increasing the mass of Z’ itisstillpossibletofindoaseswhere the DF=2 constraints are OK

  • however some observablesreceiveverysmall NP contributions (rare decays)


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