Coupled gap equations for the screening masses in the SU(2) Higgs model

TL;DR

This paper derives and compares screening masses in the SU(2) Higgs model using coupled gap equations, proposing a non-perturbative mapping and exploring gauge-invariant mass resummation at high temperatures.

Contribution

It introduces a comprehensive set of static screening masses from one-loop coupled gap equations and proposes a non-perturbative coupling mapping between models with different scalar field content.

Findings

Successful comparison of models with fundamental and adjoint scalars.

Identification of a perfect decoupling of heavy adjoint scalar field.

Analysis of gauge-invariant mass resummation in the high temperature phase.

Abstract

The complete set of static screening masses is determined for the SU(2) Higgs model from one-loop coupled gap equations. Results from the version, containing scalar fields both in the fundamental and adjoint representations are compared with the model arising when the integration over the adjoint scalar field is performed. A non-perturbative and non-linear mapping between the couplings of the two models is proposed, which exhibits perfect decoupling of the heavy adjoint scalar field. Also the alternative of a gauge invariant mass resummation is investigated in the high temperature phase.