Robust approach to thermal resummation: Standard Model meets a singlet

TL;DR

This paper reviews a combined perturbative and non-perturbative approach to accurately describe the thermodynamics of the electroweak phase transition, focusing on high-temperature dimensional reduction with a real singlet scalar.

Contribution

It provides an explicit derivation of dimensional reduction for a singlet-extended Standard Model and computes the thermal effective potential at two-loop order.

Findings

Explicit dimensional reduction derivation for singlet-extended Standard Model

Two-loop thermal effective potential calculation

Framework for future lattice and perturbative studies

Abstract

Perturbation theory alone fails to describe thermodynamics of the electroweak phase transition. We review a technique combining perturbative and non-perturbative methods to overcome this challenge. Accordingly, the principal theme is a tutorial of high-temperature dimensional reduction. We present an explicit derivation with a real singlet scalar and compute the thermal effective potential at two-loop order. In particular, we detail the dimensional reduction for a real-singlet extended Standard Model. The resulting effective theory will impact future non-perturbative studies based on lattice simulations as well as purely perturbative investigations.