Exploring SUSY models through quark and lepton flavor physics Yasuhiro Okada(KEK/Sokendai) June 18, 2008 SUSY 2008, Seoul, Korea

Flavor in the LHC era LHC will give a first look at the TeV scale physics. 　The mass of the Higgs boson alone is an important hint for possible new physics scenarios. Flavor structure of the TeV scale physics is largely unknown. 　 Patterns of the deviations from the SM predictions are a key to distinguish new physics models. New flavor experiments are coming. LHCb, B physics at ATLAS and CMS, MEG, Super B, etc.

EDM ~0 SUSY CP Lepton flavor Quark flavor Neutrino mixing B,D,K LFV~0 SM has a characteristic feature among various flavor and CP signals. EDM ~0 SUSY CP Lepton flavor Neutrino mixing LFV~0 Quark flavor B,D,K slepton mixing GUT Relationship may be quite different for new physics contributions.

CKM looks perfect , but… Even if CKM looks　perfect, there are still room for new　physics contributions of at least a few 10’s %. SM global fit Fit by tree level processes

Model-independent determination UT fit Bs mixing fit from Tevatron Bd mixing fit from B factories A hint of deviation is indicated by combining CDF and D0 results. UY fit collaboration, arXiv:0803.0659

Improvements expected soon at on-going experiments LHCb and MEG The LHCb experiment will determine the fs in accuracy of d(fs)=0.021 with 2fb-1 (1year). fs(SM) ~ -0.04 The MEG experiment will search for B(m->eg) up to 10-13. The current upper bound is 1.2 x 10-11.

New physics studies for Super B factory. There are series of studies to clarify the physics potential of a super B factory, including B, D and tau physics. Super KEKB study (2001-) SLAC Super B WS (2003) CERN WS on Flavour in the era of the LHC (2005-2007) 　SuperB CDR (2007) Various new physics models are taken to compare patterns of new physics signals.

Super B, experimental prospects 50-75 ab-1 CKM parameters b-s transition B-> (D) tn EW penguin tau LFV 0(10%) physics (Now) => 0(1%) physics (Future) CERN Flavour WS report: arXiv:0801.1833   

Lepton flavor violation SUSY and Favor Squarks and gluino up to 2-3 TeV will be found at LHC. Slepton and squark mass matrixes are a window to SUSY breaking mechanisms and GUT scale interactions. GUT Yukawa coupling Neutrino Yukawa Coupling Squark/slepton mass matrixes Origin of SUSY breaking SUSY spectrum Quark favor signals Lepton flavor violation We can explore the fundamental structure of SUSY models at high scales from quark and lepton flavor signals

SUSY breaking terms Quark flavor changing processes LHC/ILC SUSY mass spectrum Diagonal Off-diagonal Lepton flavor violation

Quark and lepton flavor physics in various SUSY models T.Goto, Y.O. Y.Shimizu, T.Shindou, and M.Tanaka,2002, 2004 T.Goto,Y.O., T.Shindou,M.Tanaka, arXiv:0711.2935 In order to illustrate how future flavor experiments are useful to distinguish different SUSY models, we calculated various quark flavor observables in representative SUSY models. Models 1. Minimal supergravity model (mSUGRA) 2. SUSY seesaw model 2. SU(5) SUSY GUT with right-handed neutrino MSSM with U(2) flavor symmetry Observables Bd-Bd mixing, Bs-Bs mixing. CP violation in K-K mixing (e). Time-dependent CP violation in B ->J/yKs, B->fKs, B->K*g . Direct CP violation in b->s g. m->eg,

SUSY model with right-handed neutrinos Yukawa interactions at the GUT scales induce quark and lepton flavor signals. In the SU(5) setup, the right-handed sdown sector can receive flavor mixing due to the neutrino Yukawa couplings. Neutrino Yukawa coupling Quark Yukawa coupling GUT interactions (mSUGRA @ Planck) Quark flavor signals Time-dep CP asymmetries in B->fKs B -> K*g Bs->J/yf Lepton flavor violation in m->eg t->mg t->eg L.J.Hall,V.Kostelecky,S.Raby,1986;A.Masiero, F.Borzumati, 1986, R.Barbieri,L.Hall,1994, R.Barbieri,L.Hall.A.Strumia, 1995, S.Baek,T.Goto,Y.O, K.Okumura, 2001;T.Moroi,2000; A.Masiero, M.Piai,A Romanino, L.Silvestrini,2001 D.Chang, A.Masiero, H.Murayama,2003 J.Hisano,and Y.Shimizu, 2003, M.Ciuchini, et.al, 2004, 2007…

Effects of the neutrino Yukawa coupling Neutrino mass matrix (in the basis where yl is diagonal). LFV mass terms for slepton (and sdown). LFV mass terms and VPMNSis directly related when (Minimal LFV)

In the case of Degenerate MN and “Normal hierarchy” for light neutrinos : SU(5) SUSY GUT Contour in the m0 -M1/2 plane B(m->eg) can be close to the present bound even if the slepton mass is 3 TeV. m->eg, t->mg, t->eg branching ratios m->eg bound T.Goto,Y.O., T.Shindou,M.Tanaka, 2007

becomes weaker, and a variety of flavor signals are possible. If is somewhat suppressed, the B(m->eg) constraint becomes weaker, and a variety of flavor signals are possible. Non-degenerate MN J.Casas, A.Ibarra2001; J.Ellis,J.Hisano,M.Raidal,Y.Shimizu, 2002 Degenerate MN, but inverse hierarchy or degenerate light neutrino with q13~0.

Lepton Flavor Violation t->mg, t->eg vs. m->eg B(t->mg) B(m->eg) m->eg t->eg T.Goto,Y.O., T.Shindou,M.Tanaka, 2007

Time-dependent CP violation in Bd decays Difference of CPV in B->fKs and B->J/yKs modes Time-dependent CP asymmetry in Bd->K*g Super B Super B These asymmetries can be sizable if the squarks are within the LHC reach.

Correlation of S(Bs->J/yKs) and B(t->mg) Time-dependent CP asymmetry in Bs->J/yf SuperB LHCb T.Goto,Y.O., T.Shindou,M.Tanaka, 2007 Recent works on Bs mixing: J.K. Parrym H-H. Zhong 2007; B.Dutta, Y.Mimura2008; J.Hisano Y.Shimizu, 2008.

MSSM with U(2) flavor symmetry A.Pomarol and D.Tommasini, 1996; R.Barbieri,G.Dvali, and L.Hall, 1996; R.Barbieri and L.Hall; R.Barbieri, L.Hall, S.Raby, and A.Romonino; R.Barbieri,L.Hall, and A.Romanino 1997; A.Masiero,M.Piai, and A.Romanino, and L.Silvestrini,2001; …. The quark Yukawa couplings and the squark mass terms are governed by the same flavor symmetry. 1st and 2nd generation => U(2) doublet 3rd generation => U(2) singlet We do not consider LFV processes in this model

Various CP asymmetries are possible for the b-s and b-d transitions in the U(2) model Time-dep CP asymmetry in Bd->K*g Direct asymmetry of b->sg Time-dep CP asymmetry in Bs->J/yf Time-dep CP asymmetry in Bd->rg

b-s and b-d transitions Summary table of flavor signals for mSUGRA, SUSY seesaw, SUSY GUT, MSSA with U(2) flavor symmetry LFV b-s and b-d transitions Pattern of deviation from the SM predictions are different for various cases considered.

Conclusions We have performed a comparative study on quark and lepton flavor signals for representative SUSY models; mSUGRA, MSSM with right-handed neutrinos, SU(5) SUSY GUT with right-handed neutrinos, and U(2) models. Each model predicts a different pattern of the deviations from the SM in b-s and b-d quark transition processes and muon and tau LFV processes. These signals can provide important clues on physics at very high energy scales if SUSY particles are found at LHC.