Renormalization Group Functions for the Radiative Symmetry Breaking Scheme with Multi Mass Scale

TL;DR

This paper derives the renormalization group functions for $O(N)$ scalar and Higgs-Yukawa theories with radiative symmetry breaking via the Coleman-Weinberg mechanism, extending previous methods to multi-mass scale scenarios.

Contribution

It provides explicit RG functions for complex theories with multiple mass scales, advancing the understanding of radiative symmetry breaking mechanisms.

Findings

RG functions for $O(N)$ scalar theory derived

RG functions for Higgs-Yukawa theory obtained

Method extended to multi-mass scale cases

Abstract

We obtain the renormalization group(RG) functions for the $O(N)$ scalar field theory and the Higgs-Yukawa field theory with the Coleman-Weinberg mechanism in which the symmetry breaking occurs radiatively by using the method proposed previously in case of the neutral scalar field theory.