SUSY and B physics observables Yasuhiro Okada (KEK) Super B Factory Workshop in Hawaii, April 20, 2005

Goals of Super B Factory Main purpose of B physics at a Super B Factory is to search for new physics effects in flavor-mixing and CP violation. In order to identify a new physics model, we need to determine a pattern of deviation from the SM predictions in various observables. There are several ways to look for new physics effects in B decays.

New Physics in the LHC era Some signals of new physics may be obtained at early stage of LHC. (SUSY, Large extra dim. etc) Important to consider impacts of B physics to LHC physics, and vice verse. In general, correlations among various areas are important to figure out what is new physics. B physics LHC LC LFV EDM Muon g-2 K physics Charm physics

2003 SLAC WS Proceedings

SUSY in the LHC era Squark and gluino with masses up to 2-3 TeV can be discovered. If a hint for SUSY is found at LHC, we would like to know: Is it really SUSY? Is it MSSM?, SUSY GUT? What is SUSY breaking mechanism? Flavor physics will play important roles.

SUSY and Flavor Physics SUSY models introduce SUSY partners. Squark mass matrixes are new sources of flavor mixing and CP violation. Squark masses depend on SUSY breaking terms. Quark mass SUSY breaking terms Squark mass Diagonal term: LHC/ILC Off-diagonal term: Flavor exp

Squark mass matrixes carry information on the SUSY breaking mechanism and interactions at the GUT scale. Origin of SUSY breaking (mSUGRA, AMSB, GMSB, Flavor symmetry, etc.) SUSY breaking terms at the Mw scale (squark, slepton, chargino, neutralino, gluino masses) Renormalization (SUSY GUT, neutrino Yukawa couplings etc.)

Different assumptions on the SUSY breaking sector Minimal Flavor Violation (ex. mSUGRA) SUSY GUT with see-saw neutrinos SUSY breaking Flavor symmetry Effective SUSY etc. How to distinguish these models from B factory observables?

mSUGRA, SU(5) SUSY GUT, U(2) Flavor symmetry T.Goto, Y.Okada, Y.Shimizu, T.Shindou, and M.Tanaka Comparison of SUSY effects on unitarity triangle and rare B decay observables in three SUSY models. 1. Minimal supergravity model (mSUGRA) 2. SU(5) SUSY GUT with right-handed neutrino (RHN) 2-1. degenerate RHN case (m -> e g large) 2-2. non-degenerate RHN case (m -> e g suppressed) MSSM with U(2) flavor symmetry

Unitarity triangle Inconsistency among A_CP(B->J/y Ks), Dm(Bs), SU(5) GUT Degenerate Non-degenerate SU(5) GUT with see-saw neutrino mSUGRA U(2) FS Inconsistency among A_CP(B->J/y Ks), Dm(Bs), f3 (g) and eK in SUSY GUT with the degenerate RHN case. => A large SUSY contribution in the CPV of K-K mixing.

Mixing-induced CP asymmetries in B ->f Ks and B-> K*g A_CP(B ->f Ks) A_CP( B -> K*g) Large CPV in fKs and K*g for the SUSY GUT with non-degenerate RHN.

B physics signals for benchmark parameters (SPS) SPS (Smowmass Points and Slops) are benchmark SUSY parameter sets based on the mSUGRA model. We calculate flavor observables in the SUSY GUT model for 4 SPS lines. Dark matter motivated region SPS 2 Focus point SPS 3 Stau co-annihilation region Typical parameters SPS 1a, SPS 1b SPS2 SPS 3 SPS 1a SPS 1b M.Battaglia, et al, 2001

SUSY GUT with degenerate RHN Gluino mass SUSY GUT with degenerate RHN SPS 1a SPS 1b SPS 2 SPS 3 A large SUSY contributions to eK in SPS 3 (Focus point ) for t he SUSY GUT with the degenerate RHN case. Typical mass spectrum Gluino:< a few TeV Chargino, neutralino: light Squark: heavy T.Goto, Y.Okada, Y.Shimizu, T.Shindou, and M.Tanaka

Higgs exchange effects in a minimal flavor violation (MFV) Even in the case with MFV, ex mSUGRA, a large deviation from the SM is possible for a large value of two vacuum expectation values (tan b) The tree-level charged Higgs boson exchange in B -> D tn and B -> tn. Loop-induced FCNC coupling in Bs -> m m and b->sll.

Tauonic B decay, B->D tn, B->tn c(u) t n W H b c(u) t n - + B(B->D tn) vs.B(B->tn) B->D tn tan b=50 Charged Higgs mass SUSY loop corrections to the Higgs vertex H.Itoh, S.Komine, Y.Okada

Comparison with charged Higgs boson search at LHC Parameter reach overlaps with the heavy Higgs boson search at LHC Test of “universality” of the charged Higgs coupling B->tn: H-b-u coupling B->Dtn : H-b-c coupling gb->tH: H-b-t coupling Super B Factory K.A.Assamagan, Y.Coadou, A.Deandrea

Bs->mm vs. B->Kmm/B->Kee Loop-induced FCNC Higgs coupling for large tan b G.Hiller and F.Kruger A.Dedes and B.T.Huffman

Effective SUSY B(b->s mm) vs. B(b->s g) If only 3rd generation squarks are light, a large SUSY effects are possible in B decay processes such as the direct CPV in b->sg and B(b->sll) . B(b->s mm) vs. B(b->s g) mSUGRA Effective SUSY S.Baek and P.Ko T.Goto,Y.Okada,Y.Shimizu

Direct CP violation in b->s g process 10% for effective SUSY A few % for mSUGRA Effective SUSY mSUGRA A_CP vs.nEDM Light chargino mass S.Baek and P.Ko T.Goto,Y.Keum,T.Nihei,Y.Okada,Y.Shimzu

Pattern of New Physics effects 2003 SLAC WS Proceedings SUSY Large Extra Dimension model Different pattern of the deviations from the SM prediction. Correlation with other physics observables.

Summary If SUSY is realized in Nature, LHC is likely to provide some evidence. Then, determination of the SUSY breaking sector becomes one of the most important questions. B physics is essential for determining the flavor structure of SUSY breaking terms. There are a variety of ways to look for SUSY effects in B decays. In order to distinguish different SUSY models, we need to see pattern of deviations from the SM predictions in various processes. For this purpose, a Super B factory is necessary along with hadron B experiments.

Buck up slides

Correlation between time-dependent asymmetries of B->fKs and B->K*g Super KEKB LoI

Direct CP violation in b->sg for three SUSY models

Pattern of the deviation from the SM predictions for three SUSY models.

Possible deviations from the SM for SPS parameters in SU(5) GUT with RHN

Differential branching ratio and FB asymmetry in b->sll