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NMSSM & B-meson Dileptonic Decays

NMSSM & B-meson Dileptonic Decays. 杨 金 民. Jin Min Yang. ITP, Beijing. arXiv: 0801.1169 Heng, Wang, Oakes, Xiong, JMY. Outline. Introduction NMSSM Model B Dileptonic Decay Conclusion. 1. Introduction. About B physics. B-physics is not over (super B-factory, LHCb).

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NMSSM & B-meson Dileptonic Decays

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  1. NMSSM&B-meson Dileptonic Decays 杨 金 民 Jin Min Yang ITP, Beijing arXiv: 0801.1169 Heng, Wang, Oakes, Xiong, JMY

  2. Outline • Introduction • NMSSM Model • B Dileptonic Decay • Conclusion

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

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

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

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

  7. 2. NMSSM Model Singlet NMSSM = MSSM + Symmetry    Hu·Hd

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

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

  10. Spectrum of NMSSM: • One more CP-odd Higgs (A1) • One more CP-even Higgs • One more neutralino

  11. How tosolve -problem？ • Before SUSY breaking: SUSY vacuum: VEVs = 0 EW; Z3 are not broken • With SUSY breaking: SUSY breaking scale (<TeV) vacuum: VEVs  0 • EW break at weak scale •  term is generated at weak scale

  12. Comment: • Z3 symmetry is crucial ! Otherwise, introduce a singlet seems no good (except: in SUSY vacuum EW spontaneously breaking) • Discrete symmetry may cause new problem

  13. How to solve little hierarchy？ • mh theoretical upper bound MSSM: NMSSM: • mh experimental lower bound has singlet component suppressed !

  14. MSSM fraction of h V. Barger, et al, hep-ph/0603247

  15. 3. B Dileptonic Decay b s

  16. In SM: VKM W s b u t c

  17. In SUSY:

  18.  g W b s       d u b t s c

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

  20. b s SM:only gauge bosons SUSY: gauge and Higgs bosons

  21. b s A1 OPE:

  22. =mW =mA1 (integrate out A1) =mb • A1 is heavy • A1 is intermediately heavy • A1 is very light

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

  24. expt data No expt data !

  25. Sky-blue points excluded by

  26. Sky-blue points excluded by

  27. 4. Conclusion • In NMSSM a light A1 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

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