Baryon Washout, Electroweak Phase Transition, and Perturbation Theory

Details Baryon Washout, Electroweak Phase Transition, and Perturbation Theory Baryon Washout, Electroweak Phase Transition, and Perturbation Theory

2011-01-24

arxiv.org/abs/1101.4665v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages, 9 figures

Scientific paper

We analyze the conventional perturbative treatment of sphaleron-induced baryon number washout relevant for electroweak baryogenesis and show that it is not gauge-independent due to the failure of consistently implementing the Nielsen identities order-by-order in perturbation theory. We provide a gauge-independent criterion for baryon number preservation in place of the conventional (gauge-dependent) criterion needed for successful electroweak baryogenesis. We also review the arguments leading to the preservation criterion and analyze several sources of theoretical uncertainties in obtaining a numerical bound. In various beyond the standard model scenarios, a realistic perturbative treatment will likely require knowledge of the complete two-loop finite temperature effective potential and the one-loop sphaleron rate.

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