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Baryogenesis at Electroweak Scale and EDM in MSSM

This paper explores the possibility of electroweak baryogenesis in the Minimal Supersymmetric Standard Model (MSSM) and its interplay with electric dipole moments (EDMs). It discusses the relevant contributions, including the chargino-neutralino two-loop, and explores the bino-driven electroweak baryogenesis scenario with highly suppressed EDMs. The paper concludes with the constraints and possibilities of electroweak baryogenesis in the MSSM.

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Baryogenesis at Electroweak Scale and EDM in MSSM

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  1. Baryogenesis at Electroweak scale and EDM in MSSM Yingchuan Li University of Wisconsin, Madison YL, S. Profumo, M. Ramsey-Musolf, PRD 78, 075009, 2008; PLB 673, 95, 2009. Pheno 2009

  2. Outline • Electroweak baryogenesis in MSSM • Why ruled out in SM? • Why possible in MSSM? • What does it require in MSSM? • The interplay between EWB and EDM in MSSM • Chargino-neutralino two-loop: the most relevant contribution; • Bino-driven EWB with highly suppressed EDMs; • Conclusion

  3. The origin of matter and energy • Baryon asymmetry of Universe: (BBN) (WMAP) • Sakharov conditions: • Baryon number violation; • C and CP violation; • Departure from thermal equlibrium.

  4. Scenarios of baryogenesis • Planck scale baryoenesis; • GUT baryogenesis; • Baryogenesis via leptogenesis; • Afleck-Dine baryogenesis; • Electroweak baryogenesis; most testable scenario!

  5. EWBG fails in SM, but viable in MSSM. • EWBG fails in SM: • Electroweak phase transition is not first order. • Not enough CP violation. • EWGB is viable in MSSM: • New bosonic degrees of freedom (stops) • help on 1st order phase transition. • New CP violation source exist in MSSM.

  6. EWB in MSSM • Strong 1st order phase transition: (Carena, et al. 2008) • Light Higgs: • Heavy LH stop: • Light RH stop: • Extra CP violation phase: • Chargino-neutralino sector: • Stop sector: Bino-driven Wino-driven

  7. EWB in MSSM • Resonant enhancement of CP violation: (Carena, et al. 1997,2001; Lee, et al. 2004) preferred ! • Chargino-neutralino scenario not preferred! • Stop scenario mA = 100 GeV mA = 150 GeV mA = 400 GeV Crucial parameters in chargino-neutralino scenario: Can large phases and small mass scales survive EDM bounds?

  8. EDM – probe of CP violation • Electric dipole moment: CPT P and T violation P and CP violation • Experimental searches: SM values Current bounds Future reach

  9. How to suppress various EDM? CP odd op. Phases Compatibility condition ? ? ? ? ? ? ? ? ? Not obvious. ? ? ? ? Full calculation is needed. ?

  10. Chargino-neutralino 2-loop EDM: diagrams • Complete diagrams: • Calculated: • Uncalculated:

  11. Chargino-neutralino 2-loop EDM: analytic result YL, S. Profumo, M. Ramsey-Musolf, arXiv:0806.2693

  12. Chargino-neutralino 2-loop EDM: numerical result • ZA and WH are dominant contributions Ref. point: YL, S. Profumo, M. Ramsey-Musolf, arXiv:0806.2693

  13. Chargino-neutralino 2-loop EDM: binov.s. wino contribution • Very different contribution • from bino and wino phases • Suppression is due to many aspects: • Neutralino only appears in WH and WW: 20% • In WH and WW: • Another factor of 0.3 is presumably from that, in WH and WW, • W boson only couple to wino and higgsino. YL, S. Profumo, M. Ramsey-Musolf, arXiv:0811.1987

  14. Comparing bino- and wino-driven EWB • Electron EDM: Ref. point: YL, S. Profumo, M. Ramsey-Musolf, arXiv:0811.1987

  15. Comparing bino- and wino-driven EWB • Neutron EDM: Ref. point: Bino-driven EWB can happen with highly suppressed EDMs! YL, S. Profumo, M. Ramsey-Musolf, arXiv:0811.1987

  16. Compatibility between EWB and EDM? CP odd op. phases Compatibility condition Not obvious. Bino-driven EWB scenario! YL, S. Profumo, M. Ramsey-Musolf, arXiv:0811.1987

  17. Conclusions & outlook • EWB in SM is ruled out, but EWB in MSSM, either • bino-driven or wino-driven, remains possible. • EWB in MSSM is strongly constrained by EDM experiments. • We calculate the full chargino-neutralino 2-loop EDMs, • which is the most relevant part to EWB in MSSM. • We observe that the bino-driven EWB is much less • constrained from EDM bounds than wino-driven EWB. • A scan over the full parameter space will give a lower bound • on EDM that is consistent with EWB. Thank you !!!

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