Beyond MSSM Baryogenesis

1. Beyond MSSM Baryogenesis Kfir Blum and Yosef Nir, Phys.Rev.D78:035005,2008

2. (B)MSSM Higgs and stop masses (Un-)Observable: Higgs boson mass

3. Higgs and stop masses • In MSSM, LEP bound on higgs boson mass violates tree level prediction • This implies sizable quantum corrections • The most important corrections come from top and stop loops • To satisfy LEP bound, stop masses are pushed high  Little hierarchy problem

4. BMSSM higgs sector I • MSSM quartic higgs couplings dictated by D-terms, controlled by gauge couplings • Same feature responsible for the tree level relation, mh<mZ, • and for its vulnerability to quantum corrections • Little hierarchy problem avoided if MSSM quartic higgs potential is modified • - Many microscopic extensions do this • - May or may not add light dof to the MSSM particle content • Here, deal with the second possibility, via effective low-energy action • BMSSM: Effective lagrangian summarized by adding non-renormalizable • superpotential terms (DST = )

5. Stops can go light! Both at 100-300 GeV BMSSM higgs sector II • In the scalar potential, leading BMSSM contribution is • Light higgs mass shifted

6. (B)MSSM Electroweak Baryogenesis Observable: Baryon Asymmetry of the Universe (BAU)

7. ElectroWeak BaryoGenesis (EWBG) • BAU measured via - Deuterium abundance (D/H), dictated by BBN when the universe was ~102 sec old - Relative magnitude of Doppler peaks in CMBR temperature anisotropies, measured by WMAP from photons released when the universe was ~105 sec old - Both methods agree on η≈ 6x10-10 with <10% errors • EWBG: BAU generated during EW Phase Transition (EWPT) - Sakharov conditions: Thermal non-equilibrium, CP violation, B violation • EWPT Imposes constraints on weak-scale dof: predictive Object to calculate: Effective scalar potential at finite temperature

8. Effective potential

9. EWPT I

10. EWPT II • First order: barrier forms between EW breaking and conserving minima • Barrier height depends on light scalar dof coupling to the higgs field, and on thermal screening • In SM, only gauge bosons contribute to barrier • In MSSM, negative soft squared-mass can reduce thermal screening for stops, making them the dominant player by far

11. Condition to avoid sphaleron wash-out: • Effective cubic term - parameterize by E: λ = effective quartic coupling: …Observe: EWPT III • With a light :

12. BMSSM EWPT • λ ~ mh bound from below by experimental limit on higgs mass • EWBG window in MSSM *: • - Make as light as possible to enhance potential barrier • - Keep mh fixed by making very massive • MSSM window  heavy stop at several TeV •  hierarchy problem exponentially worse! BMSSM solution: Keep mh fixed by ε term  EWBG window hierarchy-free * Latest:M. Carena, G. Nardini, M. Quiros, C.E.M. Wagner, arXiv:0809.3760 [hep-ph] and ref. Therein

13. BMSSM higgs & stops

14. Conclusions & Outlook Conclusions: • BMSSM: Effective action approach to MSSM extensions at the few TeV scale. Impact on higgs sector captured by dim.5 operators • Little hierarchy problem ameliorated DST, Phys.Rev.D76:095004,2007 • EWBG significantly more natural BN, Phys.Rev.D78:035005,2008 To-do list: • Constraints on dim>4 operators - Stability of scalar potential - EDMs, EW Precision Tests • DM implications • CPV analysis – EDMs, Baryogenesis • Collider signatures

15. Xtras

16. Choice of basis Leading mass shift Dimension 6 scalar term, and condition for neglecting it 2-loop thermal corrections associated with dim 6 term

17. BMSSM higgsinos Chargino-chargino-scalar-scalar terms and modifications to the mass matrices exist as well