Differential Renormalization of a Yukawa Model with $\gamma_5$

TL;DR

This paper demonstrates a two-loop calculation of beta functions and anomalous dimensions in a gamma_5 Yukawa model using differential renormalization, avoiding dimension modification or ad-hoc gamma_5 prescriptions.

Contribution

It introduces a coordinate space differential renormalization method for gamma_5 theories, simplifying calculations without altering space-time dimensions.

Findings

Successful two-loop beta function computation in gamma_5 Yukawa model

Differential renormalization effectively handles gamma_5 without prescriptions

Method is suitable for analyzing chiral gauge theories

Abstract

We present a two-loop computation of the beta functions and the anomalous dimensions of a $\gamma_5$-Yukawa model using differential renormalization. The calculation is carried out in coordinate space without modifying the space-time dimension and no ad-hoc prescription for $\gamma_5$ is needed. It is shown that this procedure is specially suited for theories involving $\gamma_5$, and it should be considered in analyzing chiral gauge theories.