Lattice study of the Coleman--Weinberg mass in the SU(2)-Higgs model

TL;DR

This paper investigates the non-perturbative scalar mass in the SU(2)-Higgs model using lattice simulations, revealing a higher minimal scalar mass than predicted by 1-loop perturbation theory.

Contribution

It provides the first non-perturbative lattice study of the Coleman-Weinberg mass in the SU(2)-Higgs model, challenging perturbative predictions.

Findings

Minimal scalar mass is higher than 1-loop continuum prediction.

Lattice simulations offer non-perturbative insights into symmetry breaking.

Results suggest revisiting perturbative approaches for scalar mass predictions.

Abstract

Radiative symmetry breaking is a well known phenomenon in perturbation theory. We study the problem in a non-perturbative framework, i.e. lattice simulations. The example of the bosonic sector of the SU(2)-Higgs model is considered. We determine the minimal scalar mass which turns out to be higher than the mass value given by 1-loop continuum perturbation theory.