Sphaleron effects near the critical temperature.

Abstract

We discuss one-loop radiative corrections to the sphaleron-induced baryon-number-violating transition rate near the electroweak phase transition in the standard model. We emphasize that in the case of a first-order transition a rearrangement of the loop expansion is required close to the transition temperature. The corresponding expansion parameter, the effective three-dimensional gauge coupling, approaches a finite \ensuremath{\lambda}-dependent value at the critical temperature. The \ensuremath{\lambda} (Higgs boson mass) dependence of the one-loop radiative corrections is discussed in the framework of the heat kernel method. Radiative corrections are small compared to the leading sphaleron contribution as long as the Higgs boson mass is small compared to the W mass. To one-loop accuracy, there is no Higgs boson mass range compatible with experimental limits where washing out of a B+L asymmetry could be avoided for the minimal standard model with one Higgs doublet.