# Numerical tests of the electroweak phase transition and thermodynamics of the electroweak plasma

## TL;DR

This paper presents numerical simulations of the electroweak phase transition in the SU(2) Higgs model at a Higgs mass of approximately 34 GeV, analyzing finite volume and lattice effects, and exploring thermodynamics near the transition.

## Contribution

It provides detailed numerical analysis of the electroweak phase transition and thermodynamics using lattice simulations, including effects of finite volume, lattice spacing, and uncertainties.

## Key findings

- Finite volume and lattice spacing effects quantified.
- Relation between energy density and pressure near transition established.
- Errors from critical hopping parameter uncertainties estimated.

## Abstract

The finite temperature phase transition in the SU(2) Higgs model at a Higgs boson mass $M_H \simeq 34$ GeV is studied in numerical simulations on four-dimensional lattices with time-like extensions up to $L_t=5$. The effects of the finite volume and finite lattice spacing on masses and couplings are studied in detail. The errors due to uncertainties in the critical hopping parameter are estimated. The thermodynamics of the electroweak plasma near the phase transition is investigated by determining the relation between energy density and pressure.