# Finite T Electroweak Phase Transition on the Lattice

## TL;DR

This paper reviews recent lattice studies of the electroweak phase transition at high temperatures, detailing its order, critical parameters, phase properties, and sphaleron rate calculations, with implications for early universe physics.

## Contribution

It provides an accurate lattice-based characterization of the electroweak phase transition, including its order, critical parameters, and phase properties, advancing understanding of early universe phenomena.

## Key findings

- Transition is first order for Higgs mass ≤ 80 GeV.
- Transition vanishes for larger Higgs masses.
- Properties of phases and sphaleron rates are characterized.

## Abstract

This talk reviews recent lattice results on the high $T$ electroweak phase transition. A remarkably accurate picture emerges: a) the transition is of first order for $m_H \lsim 80$GeV and vanishes for larger $m_H$; b) transition temperature, latent heat and interface tension are known, as well as c) the properties of the broken and symmetric phases. New developments in the sphaleron rate calculations are discussed.