Two-loop effective potential, thermal resummation and first-order phase transitions: Beyond the high-temperature expansion

Koichi Funakubo, Eibun Senaha

Published 2012-10-05, updated 2013-02-27Version 2

We study a finite temperature two-loop resummed effective potential in the Abelian gauge theory. A tractable calculation scheme without using a high-temperature expansion is devised. We apply it to the Abelian-Higgs model and its extension to a minimal supersymmetric standard model-like model and study the thermal phase transition. It is shown that our scheme improves the previous results about 10% in the quantities relevant to the phase transition, and its impacts on bubble dynamics could be even more sizable. It still holds that the stop-stop-gluon sunset diagram enhances the strength of the first-order phase transition even without the high-temperature expansion.