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

2. 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.

3. 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.

4. 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

5. 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:

6. 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 The current upper bound is 1.2 x

7. 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 ( )
　SuperB CDR (2007)
Various new physics models are taken to compare patterns of new physics signals.

8. 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:    

9. 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

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

11. 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:
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,

12. 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
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…

13. 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)

14. 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

15. 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.

16. 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

17. 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.

18. 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.

19. 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

20. 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

21. 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.

22. 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.