Renormalization Group Invariance of the Pole Mass in the Multi-Higgs system

TL;DR

This paper demonstrates that in multi-Higgs theories, the pole mass remains invariant under renormalization group flow when expressed in terms of Lagrangian parameters, across different gauge fixing conditions.

Contribution

It establishes the renormalization group invariance of the pole mass in multi-Higgs systems, extending understanding across various gauge fixing choices.

Findings

Pole mass is RG invariant in multi-Higgs models.

RG invariance holds under different gauge fixing conditions.

Invariance expressed via beta and gamma functions of the symmetric phase.

Abstract

We have investigated the renormalization group running of the pole mass in the multi-Higgs theory in two different types of the gauge fixing conditions. It turns out that the pole mass when expressed in terms of the Lagrangian parameters, is invariant under the renormalization group with the beta and gamma functions of the symmetric phase.