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Supersymmetry and Some of its Experimental Tests

This seminar discusses supersymmetry (SUSY), experimental tests, gauge couplings, and SUSY breaking mechanisms. Topics include rare B decays, dipole moments, lepton flavor violation, SUSY GUTs, and proton decay. Stability of Higgs mass, SUSY spectrum, gauge coupling unification in SM and MSSM, R-parity violation, and various SUSY breaking scenarios such as mSUGRA and GMSB are covered. The seminar also explores SUSY contributions to lepton dipole moments, electric dipole moments, SUSY seesaw mechanism, and LFV scenarios in neutrino sectors. Overall, supersymmetry is seen as an attractive candidate to stabilize the Higgs mass and is suggested by gauge coupling unification.

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Supersymmetry and Some of its Experimental Tests

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  1. Supersymmetry and Some of its Experimental Tests K.S. Babu Department of Physics, Oklahoma State University Oklahoma Center for High Energy Physics National Taiwan University Lunch Seminar June 13, 2005

  2. Outline Motivations Supersymmetry Breaking Direct Tests at Colliders Indirect Tests • Rare B Decays • Dipole Moments • Lepton Flavor Violation SUSY GUTs and Proton Decay Conclusions

  3. Stability of Higgs Mass With SUSY, Quadratic Divergence Cancels

  4. With SUSY, gauge boson contribution is cancelled by gaugino contribution.

  5. SUSY Spectrum Spin = 0 Spin = 1/2 Spin = 0 Spin = 1/2 Spin = 1 Spin = 1/2

  6. Evolution of Gauge Couplings In Standard Model

  7. Evolution of Gauge Couplings in six-Higgs-doublet SM S. Willenbrock, hep-ph/0302168

  8. Gauge Coupling Unification in MSSM

  9. Structure of Matter Multiplets

  10. MSSM Lagrangian R-parity Violation: Potentially Dangerous Proton Decay Soft SUSY Breaking: Generic soft breaking leads to large flavor violation

  11. Natural R-parity and μ-term Discrete gauge symmetries can protect μ-term and act as R-parity. K.S. Babu, I. Gogoladze, K. Wang, Nucl. Phys. B660, 322 (2003) Z4 Model L. Krauss, F. Wilczek, (1989) L. Ibanez. G. Ross, (1991) T. Banks, M. Dine, (1992) Anomalies Green-Schwarz Anomaly Cancellation Mechanism For ZN Guidice-Masiero Mechanism

  12. SUSY Breaking Scenarios • Gravity Mediated ► mSUGRA ► Anomaly Mediation ► Flavor Symmetry • Gauge Mediated mSUGRA GMSB Neutralino LSP Stable (Dark Matter) { m0 , m1/2 , μ , A0 , B0 } { Λ, M, μ, n } LSP : Gravitino

  13. F. Paige, hep-ph/0211017

  14. B→μ+ μ-Decay in Supersymmetry K.S. Babu, C. Kolda, Phys. Rev. Lett. 84, 228 (2000) MSSM is a general two-Higgs-doublet model.

  15. Hall, Rattazzi, Sarid (1993)

  16. SUSY CP Violation in Decay

  17. Kane, et al, hep-ph/0212092

  18. Lepton Dipole Moments

  19. SUSY Contributions:

  20. S. Baek, P. Ko, W. Song, hep-ph/0210373

  21. Electric Dipole Moments Violates CP Electron: Neutron: Phases in SUSY breaking sector contribute to EDM.

  22. SUSY Contributions: A, B are complex in MSSM Effective SUSY Phase

  23. If parity is realized asymptotically, EDM will arise only through non-hermiticity induced by RGE. Subject to experimental tests Dutta, Mohapatra, KB (2001)

  24. Lepton Flavor Violation and Neutrino Mass Seesaw mechanism naturally explains small n-mass. Current neutrino-oscillation data suggests Flavor change in neutrino-sector Flavor change in charged leptons In standard model with Seesaw, leptonic flavor changing is very tiny.

  25. In Supersymmetric Standard model For nR active flavor violation in neutrino sector Transmitted to Sleptons Borzumati, Masiero (1986) Hall, Kostelecky, Raby (1986) Hisano, et al (1995) SUSY Seesaw Mechanism If B-L is gauged, MR must arise through Yukawa couplings. Flavor violation may reside entirely in f or entirely in Yn

  26. If flavor violation occurs only in Dirac Yukawa Yn (with mSUGRA) If flavor violation occurs only inf (Majorana LFV) LFV in the two scenarios are comparable. More detailed study is needed.

  27. Neutrino Fit For Majorana LFV scenario, take Dutta, Mohapatra, KB 2002

  28. For Dirac LFV scenario Same neutrino oscillation parameters as in Majorona LFV The two scenarios differ in predictions for

  29. Dirac LFV F. Deppisch, et al, hep-ph/0206122

  30. Majorana LFV Dutta, Mohapatra, KB (2002)

  31. Conclusions • Supersymmetry: attractive candidate to stabilize Higgs mass • Suggested by gauge coupling unification • Before direct discovery, SUSY can show up in: ► Lepton flavor violation (meg, tmg) ► BS→μ+ μ-Decay ► Muon g-2 ► de, dn ► Proton decay ► Dark matter

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