Robust approach to thermal resummation: Standard Model meets a singlet

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.

Automated summary

The article introduces a technique that combines perturbative and non-perturbative methods to address the thermodynamics of the electroweak phase transition, focusing on high-temperature dimensional reduction. A real singlet scalar is utilized for explicit derivation, and the thermal effective potential is computed at two-loop order. The dimensional reduction for a real-singlet extended Standard Model is described in detail, with implications for future non-perturbative and purely perturbative studies.