Electroweak phase transition, critical bubbles and sphaleron decoupling condition in the MSSM

Details Electroweak phase transition, critical bubbles and sphaleron decoupling condition in the MSSM Electroweak phase transition, critical bubbles and sphaleron decoupling condition in the MSSM

2009-05-13

arxiv.org/abs/0905.2022v2

Phys.Rev.D79:115024,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages, 7 figures; version to appear in PRD

Scientific paper

10.1103/PhysRevD.79.115024

The electroweak phase transition and the sphaleron decoupling condition in the MSSM are revisited taking the latest experimental data into account. The light Higgs boson scenario and the ordinary decoupling limit which are classified by the relative size between the CP-odd Higgs boson mass and Z boson mass are considered within the context of electroweak baryogenesis. We investigate v/T at not only the critical temperature at which the effective potential has two degenerate minima but also the nucleation temperature of the critical bubbles, where v is a vacuum expectation value of the Higgs boson and T denotes a temperature. It is found that v/T at the nucleation temperature can be enhanced by about 10% compared to that at the critical temperature. We also evaluate the sphaleron decoupling condition including the zero mode factors of the fluctuations around sphaleron. It is observed that the sphaleron decoupling condition at the nucleation temperature is given by v/T>1.38 for the typical parameter sets. In any phenomenologically allowed region, v/T at both the critical and nucleation temperatures cannot be large enough to satisfy such a sphaleron decoupling condition.

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