1. A possible interplay between flavor and LHC Physics
Yasuhiro Okada (KEK/Sokendai)
December 9, 2010
NCTS LHC Topical Program, 2nd workshop
Hsinshu, Taiwan

2. LHC and Super KEKB
LHC starts producing physics results . In a few years, our knowledge on the TeV scale physics will be greatly enhanced.
KEKB/Belle ended their successful operation in June, Now, Super KEKB /Belle II construction is under way. The plan is to resume its experiment in 2014, and accumulate 50 times more luminosity in this decade.

3. Interplay between Flavor and Energy frontier experiments (Past)
CP violation
in K decays
Discovery of b quark
Large B-Bbar mixing
Discovery of top quark
In B decays
Kobayashi-Maskawa theory
A similar interplay is probably need to understand the whole
structure of the TeV scale physics.

4. An example: Charged Higgs boson
A new weak force
Couple more strongly to heavy quarks/leptons
Part of the MSSM Higgs sector
B->Dtn, B-> tn at Super B factories vs.
direct discovery at the LHC
A.S.Cornel, A.Deandrea, N.Gaur, H.Itoh, M.Klasen, Y.Okada
PRD81, (2010)

5. Contents Charged Higgs boson in the MSSM (SUSY loop corrections)
B->Dtn, B-> tn
Charged Higgs boson production at LHC
Universality test of charged Higgs couplings

6. Charged Higgs in the MSSM
The Higgs sector of the MSSM is the type-II two Higgs doublet model.
Superpotential
The charged Higgs coupling at the tree level di uj H+

7. SUSY loop correction at large tanb
SUSY loop corrections can induce Yukawa couplings beyond Type II 2HDM.
Corrections are important for large tan b cases.
tree
Effective Yukawa coupling
loop-induced
Interesting properties
Non-decoupling even for a large SUSY mass scale
Large impacts on FCNC and LFV processes even in
the case of Minimal Flavor Violation (MFV)

8. For the charged Higgs coupling (MFV case)
gluino-sbottom loop function
b-u-H
b-c-H
b-t-H
higgsino-stop loop function

9. O(1) correction is possible
Correction factors
gluino mass=800GeV, stop, sbottom mass =500GeV
b-t-H
b-u-H, b-c-H
(m, At)
O(1) correction is possible

10. Effective Yukawa couplings
We take the type-II 2HDM with the correction factors R11-1(=R22-1) and R33-1.
Four processes are considered.
Determine tanb and R-1. Universality test of charged Higgs couplings.

11. B->tn and B->Dtn
Already measured at Belle and BaBar.
(average)
(average)
From Belle II TDR arXive:

12. B-> tn branching ratio
Theoretical uncertainty
Charged Higgs effects

13. B->Dtn differential branching ratio
f+, f- : Hadronic form factors, determined by B -> Dln process.

14. B->tn and B->Dtn with SUSY loop corrections
(m=400 GeV)
With SUSY loop correction
(m=-400 GeV)
H.Itoh, S.Komine, Y.Okada, 2005

15. Correlation to b->sg and Bs->mm
The Higgs-exchange effects can affects other FCNC processes.
Although the branching ratios of these processes depend on stop
mixing, the constraint is strong (mild) for m<0 (>0).
B(b->sg)
B(Bs->mm)
m=400GeV
CDF08
m=-400GeV
H.Itoh, S.Komine, Y.Okada, 2005

16. Charged Higgs at LHC Discovery contour (R3-1=1)
K.A.Assamagan, Y.Coadou, A.Deandrea,2002

17. If both H->tn and H->tb modes are detected, we can determine
tanb and R33-1 By comparing other information on tanb
(chargino-neutralino sector, muon g-2, etc. ) we could obtain
evidence of SUSY loop effects.
mH=300GeV
Different dependence on parameters.

18. Universality test
Once the charged Higgs boson is found at LHC, we can compare the charged Higgs production process to B physics observables to see whether or not the universality of the charged Higgs couplings is violated.
Correlation among observable quantities
mH=300GeV
LHC
B decays

19. B->tn vs. LHC
B->Dtn vs. LHC

20. Study on an example point
We have perform a simulation study for pp->t(b)H(->tn) mode
to estimate the accuracy of the coupling determination.
mH=300 GeV, tanb= 40.

21. Prediction of the B->tn and B->Dtn branching ratios
B->Dtn vs. R22-1
B->tn vs. R11-1
37<tanb<43
Universality test at 10% level is possible.

22. Summary
The existence of a charged Higgs boson means a new weak force which has a property of coupling more strongly to heavy quarks and leptons.
In the context of the SUSY model, the universality of charged Higgs couplings can be violated by SUSY loop effects.
Once the charged Higgs boson is found, we can perform a universality test by combining LHC charged Higgs production and B to tau decay branching ratio measurement at Super KEKB.