1. Phenomenology of NMSSM in TeV scale mirage mediation
Institute of Basic Science,
Center for Theoretical Physics of Universe
25 March 2015
Ken-ichi Okumura
Department of Physics, Kyushu University
Phenomenology of NMSSM in TeV scale mirage mediation
T.Kobayashi, H. Makino, K.O., T.Shimomura in preparation
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2. Plan of my talk Introduction Scale symmetry in NMSSM
Fine-tuning in electroweak symmetry breaking
Collider phenomenology in Higgs sector
Dark matter
Conclusion

3. Introduction

4. Introduction Supersymmetry is attractive BSM candidate.
Big hierarchy + Unification
Light SM like Higgs (125 GeV): weak self-coupling
Little hierarchy problem
Missing superpartner (mq~ >1.5 TeV LHC7+8)
Higgs is too heavy  multi-TeV stop ?
Fine tuning <1%
Solution: “TeV scale mirage mediation in NMSSM !”

5. Mirage mediation (MM) Supergravity model (modulus + uplifting:KKLT).
K.Choi A.Falkowski H.P.Niles M.Olechowski and S.Pokorski (2005)
Supergravity model (modulus + uplifting:KKLT).
(Moduli mediation) + (Anomaly mediation)
Partial cancellation of RG running (1-loop only)
Mirage unification of soft
 Natural Little Hierarchy
“ TeV scale Mirage mediation”

6. Mirage mediation (cont’d)
Modulus med.
Anomaly med.
 TeV

8. NMSSM New F-term potential  Tree-level Higgs mass No gain in FT
Landau pole
F-term ( ) max  D-term ( ) min
Mixing with S
No gain in FT
Dimensionless  sol. of problem in MM

9. NMSSM in TeV scale mirage mediation

10. Improved fine-tuning in TeV scale MM
K.Choi K.S.Jeong T.Kobayashi K.i.Okumura (2006)
Pot. minimum chooses:
μ term can be large

11. Doublet-Singlet mixing
In NMSSM, mixing with the singlet may destroy the μ cancellation
In addition, if the doublet-singlet mixing in the mass matrix is large,
w/ mixing
w/o mixing
mass
We show an approximate scale symmetry suppresses the mixing

12. scale symmetry in NMSSM

13. Scale symmetry

14. Scale symmetry and Higgs mixing

15. Scale symmetry and Higgs mixing (cont’d)

16. CP-odd Higgs Mixing Matrix

17. Numerical Analysis Choose Heavy param’s (sol. of RGE) as inputs.
Solve three minimization conditions.
Calculate light param’s assuming correct EWSB
Check favored regions within 1-loop ambiguity
Calculation is performed by NMSSMTools
U.Ellwanger and C.Hugonie (2008)

18. Higgs mass

19. Higgs mass (cont’d)

20. Fine-tuning in Electroweak symmetry breaking

21. Fine-Tuning measures

22. Calculation of FT measures

23. Calculation of FT measures (cont’d)

24. Numerical Results for FT meaures

25. Numerical Results for FTs (cont’d)

26. Numerical Results for FTs (cont’d)

27. Numerical Results for FTs (cont’d)

28. Collider Phenomenology in Higgs sector

29. Higgs effective coupling constants

30. Effective couplings in NMSSM

31. Effective couplings in NMSSM (cont’d)

32. Effective couplings in NMSSM (cont’d)

33. Effective couplings in NMSSM (cont’d)

34. Effective couplings in NMSSM (cont’d)

35. Numerical Results for CP even Higgs

36. Numerical Results for CP even Higgs (cont’d)

37. Numerical Results for CP even Higgs (cont’d)

38. Effective couplings of CP-odd Higgs

39. Effective couplings in NMSSM

40. Effective couplings in NMSSM

41. Numerical Results for CP odd Higgs

42. Dark Matter

43. Dark matter in mirage mediation

44. Dark matter in MM (cont’d)

45. Direct detection of LSP

46. Numerical Results for Direct Detection

47. Numerical Results for DD (cont’d)

48. Numerical Results for DD (cont’d)

49. Numerical Results for DM (cont’d)

50. Indirect detection of LSP

51. Numerical Results for Indirect Detection

52. Summary
NMSSM in TeV scale mirage mediation is attractive scenario solving the little hierarchy problem in SUSY.
Fine-tuning is of O(10)% for M0=1.5 TeV .
Approximate scale symmetry suppresses the doublet-singlet mixing in the CP-even H mass matrix.
~20% deviation is predicted in the SM-like Higgs coupling constants. (50% for bb with tanβ=10)
Hidden singlet Higgs provides good opportunity for LHC/ILC new physics search.
Minimal DM is on the verge of exclusion/observation.

53. Cencelation of μ term