NMSSM & B-meson Dileptonic Decays Jin Min Yang ITP, Beijing arXiv: Heng, Wang, Oakes, Xiong, JMY 杨 金 民杨 金 民

Outline  Introduction  NMSSM Model  B Dileptonic Decay  Conclusion

1. Introduction Some B processes are sensitive to new physics B-physics is not over (super B-factory, LHCb) About B physics

About NMSSM Dynamical solution to  -problem Solve little hierarchy problem What is  -problem ? What is little hierarchy problem ?

 -problem: only dimensionful parameter conserving SUSY should be at Planck scale only dimensionful parameter conserving SUSY should be at Planck scale

little hierarchy: Experimental lower bound m h  114 GeV (95 GeV) Theoretical upper bound m h  90 GeV ( tree-level)  135 GeV ( loop-level) we need sizable loop effects ! ~ 500 GeV 100 GeV

2. NMSSM Model NMSSM = MSSM + Singlet Symmetry  H u ·H d  

E6 models (superstring-inspired) SO(10)  U(1)  … string scale at low energy: S, H u, H d + heavy particles U(1) global PQ to explicitly break U(1) PQ: cubic term NMSSM naturally exist ?

Higgs potential: (  0 ) U(1) PQ ( A   0, A  0 ) U(1) R NMSSM

Spectrum of NMSSM: One more CP-odd Higgs (A 1 ) One more CP-even Higgs One more neutralino

Before SUSY breaking: SUSY vacuum: VEVs = 0 EW; Z 3 are not broken With SUSY breaking: vacuum: VEVs  0 EW break at weak scale SUSY breaking scale (<TeV)  term is generated at weak scale How to solve  -problem ？

Z 3 symmetry is crucial ! Comment: Otherwise, introduce a singlet seems no good (except: in SUSY vacuum EW spontaneously breaking) Discrete symmetry may cause new problem

How to solve little hierarchy ？  m h theoretical upper bound  m h experimental lower bound suppressed ! MSSM: NMSSM: has singlet component

MSSM fraction of h V. Barger, et al, hep-ph/

3. B Dileptonic Decay

V KM In SM:

In SUSY:

        g

Assume: soft-terms are flavor universal at GUT scale flavor mixings occur when evolving down to weak scale K. Hikasa, M. Kobayashi, PRD36, 724 (1987)

SM: only gauge bosons SUSY: gauge and Higgs bosons

A1A1 OPE:

=mb=mb =mA1=mA1 =mW=mW ( integrate out A 1 ) A 1 is heavy A 1 is intermediately heavy A 1 is very light

SU(2) gaugino = 200 GeV Sfermions = 500 GeV U(1) gaugino = 100 GeV Scan over NMSSM parameter space: Keep the points allowed by LEPII

expt data No expt data !

Sky-blue points excluded by

4. Conclusion In NMSSM a light A 1 is allowed B-meson dileptonic decays can be greatly enhanced in NMSSM (a) current data has already set on NMSSM (b) future high precision expt will be crucial test