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

Abstract

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.

6 pages, 6 figures, v2: some clarification and a new figure added, version to appear in PRD

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Cited by in corpus (8)

• Gravitational waves from conformal symmetry breaking
• Thermal phase transition with full 2-loop effective potential
• Gravitational waves from first order electroweak phase transition in models with the $U(1{)}_X^{}$ gauge symmetry
• On gauge dependence of gravitational waves from a first-order phase transition in classical scale-invariant $U(1{)}^{\prime }$ models
• Radiative Corrections to Triple Higgs Coupling and Electroweak Phase Transition: Beyond One-loop Analysis
• Phase Transitions in Twin Higgs Models
• $F(R)$ gravity in the early Universe: Electroweak phase transition and chameleon mechanism
• The High-Temperature Expansion of the Thermal Sunset