# Electroweak phase transition by four dimensional simulations

## TL;DR

This paper investigates the electroweak phase transition in the SU(2)-Higgs model using four-dimensional lattice simulations, comparing numerical results with perturbative predictions to understand the transition's nature at a specific Higgs mass.

## Contribution

It provides the first detailed four-dimensional lattice simulation analysis of the electroweak phase transition at a Higgs mass around 35 GeV, including continuum extrapolation and perturbative comparison.

## Key findings

- Perturbative predictions are applicable in the studied parameter region.
- The critical temperature to Higgs mass ratio is extrapolated to the continuum.
- Numerical simulations support the perturbative approach for the phase transition analysis.

## Abstract

The finite temperature phase transition in the SU(2)-Higgs model at a Higgs boson mass $M_H \simeq 35$ GeV is studied in numerical simulations on four dimensional lattices with time-like extensions up to $L_t=5$. $T_c/M_H$ is extrapolated to the continuum limit and a comparison with the perturbative prediction is made. A one-loop calculation to the coupling anisotropies of the SU(2)-Higgs model on lattices with asymmetric lattice spacings is presented. Our numerical simulations show that the above perturbative result is applicable in the phenomenologically interesting parameter region.