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SUSY Higgs with Non-perturbative effects

SUSY Higgs with Non-perturbative effects. Yukihiro Mimura (National Taiwan University) . Based on PLB718 (2013) 1441 . Collaboration with N. Haba , K. Kaneta , and R. Takahashi Work in progress. Seminar at Academia Sinica ( 2013.5.10). Menu.

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SUSY Higgs with Non-perturbative effects

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  1. SUSY Higgs with Non-perturbative effects Yukihiro Mimura (National Taiwan University) Based on PLB718 (2013) 1441. Collaboration with N. Haba, K. Kaneta, and R. Takahashi Work in progress. Seminar at Academia Sinica(2013.5.10)

  2. Menu • Higgs discovery and Higgs puzzle • SUSY Higgs • Non-perturbative Higgs model in SUSY QCD • Feature of the model (Higgs to diphoton decay) • Summary

  3. Discovery of the Higgs(-like) boson in July, 2012 We’ve found you,Higgs!

  4. Higgs? or Higgs-like? SM Higgs? We need to look at itcarefully.

  5. Higgs Puzzle (20.7 fb-1, new)

  6. Unknown “Higgs Forces” Higgs self-coupling How does the Higgs field acquire a VEV ? Couplings to fermion (Yukawa coupling) How does the Higgs VEV give masses to fermions? SM? SM?

  7. Ex.

  8. Higgs mass is predictive in MSSM. The lightest Higgs mass in MSSM Maximized at

  9. The lightest Higgs mass in MSSM Maximized at (Hall-Pinner-Ruderman, 1112.2703)

  10. How about minimization condition? (tree level)

  11. (tree level) RGE solution: Cancellation sensitivity

  12. However, in Radiative EWSB scenario, becomes zero at a scale. (Note : RGEs are homogeneous equation, and thus, the solution is overall-scale invariant.)

  13. Sensitive to the stop mass parameters RGEs Hypercharge weightedTrace of scalar masses

  14. Good news & Bad news for 125 GeV Higgs Good news : Consistent with no sign in direct search Bad news: Stop mass and/or mixing have to be large, and radiative EWSB breaking is sensitive to them.

  15. Good news & Bad news for 125 GeV Higgs Good news : Consistent with no sign in direct search Bad news: Stop mass and/or mixing have to be large, and radiative EWSB breaking is sensitive to them. No EWSB

  16. One may extend the SUSY SM. NMSSM Add vector-like matter which couples to the Higgs field. Coleman-Weinberg potential can enhance the Higgs mass (via VEV-dependent masses).

  17. 3. BMSSM (Beyond MSSM) 4. Non-perturbative Higgs model

  18. Non-perturbative Higgs model Higgs fields are moduli of SUSY QCD. Hypercolor (Haba-Okada)

  19. SUSY QCD (Seiberg et al, 90’s)

  20. Effective Lagrangian

  21. SUSY QCD version Integrating S out

  22. Dynamical Higgsino mass term (VEV-dependent)

  23. Higgs to diphoton decay width (Carena-Low-Wagner) (W loop) (Top loop) For chiral fermions:

  24. Constructive contribution to W loop is needed. • VEV-dependent contribution to the new particle mass must reduce its mass. • A sizable contribution is needed to enhancethe diphoton decay rate largely. Unstable solution The coupling may blow upjust above the weak scale.

  25. Sketch of the issue

  26. Sketch of the issue Fora < 0 (non-perturbatively) and M=0, it always provides a constructive contribution to W loop.

  27. Dynamical Higgsino mass term (VEV-dependent)

  28. Ratio of the decay amplitude from top quark loop and Higgsino loop Suppose that Higgsino loop is the only additional source. The decay amplitude is about 40% up! Decay width can be twice as the one in SM.

  29. Charged Higgs boson loop contribution : • Destructive contribution • There is VEV-independent mass (decoupling). • It does not destabilize the Higgs potential.

  30. NP potential SUSY breaking

  31. In MSSM, Merit: Demerit:

  32. Work in progress: • Pair production of Higgsino is enhanced. • Pair production of the Higgs boson is enhanced.

  33. Summary • There are missing pieces for the “Higgs forces”. • SUSY Higgs is discussed. • Non-perturbative Higgs model in SUSY QCD is proposed. • It can enhance the Higgs to diphoton decay width. • We look forward to more data to specify the “Higgs forces”.

  34. Possible extension of the model Third generation can be also moduli of SUSY QCD. Left-handed matter Right-handed matter

  35. minimal Supergravity (mSUGRA)/Constrained MSSM (CMSSM) Unified Gaugino masses at GUT scale Universal scalar mass (at Planck/GUT scale) Scalar trilinear coupling (A-term) Ratio of up- and down-type Higgs vev Higgsino mass ( is fixed by the minimization of Higgs potential.)

  36. tree averaged stop mass by definition Little hierarchy (Giudice-Rattazzi, Dutta-YM)

  37. Distribution of Little hierarchy Probability is not 1% yet.

  38. (Carena-Gori-Shah-Wagner, 1112.3336)

  39. Good news & Bad news for 125 GeV Higgs We are OK! Good news : Consistent with no sign in direct search Bad news: Stop mass and/or mixing have to be large, and radiative EWSB breaking is sensitive to them. No EWSB You look uncomfortable.

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