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

2. 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.

3. 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

4. 2003 SLAC WS Proceedings

5. 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.

6. 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

7. 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.)

8. 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?

9. 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

10. 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.

11. 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.

12. 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

13. 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

14. 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.

15. 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

16. 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

17. 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

18. 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

19. 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

20. 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.

21. 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.

22. Buck up slides

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

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

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

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

27. Differential branching ratio and FB asymmetry in b->sll