The a theorem for Gauge-Yukawa theories beyond Banks-Zaks

TL;DR

This paper explores the a theorem in non-supersymmetric gauge-Yukawa theories beyond leading order, revealing complex fixed point structures and a merging phenomenon not previously tested.

Contribution

It provides a model-independent analysis of the a theorem in gauge-Yukawa theories beyond leading order, including fixed point merging phenomena.

Findings

Rich fixed point structures identified

Merging phenomena between fixed points observed

a theorem tested in new non-supersymmetric contexts

Abstract

We investigate the a theorem for nonsupersymmetric gauge-Yukawa theories beyond the leading order in perturbation theory. The exploration is first performed in a model-independent manner and then applied to a specific relevant example. Here, a rich fixed point structure appears including the presence of a merging phenomenon between non-trivial fixed points for which the a theorem has not been tested so far.