Dimensional renormalization of Yukawa theories wia Wilsonian methods

TL;DR

This paper introduces a Wilsonian renormalization group approach to simplify the calculation of finite counterterms in Yukawa theories within dimensional regularization, demonstrated through a two-loop massless fermion model.

Contribution

It proposes a novel Wilsonian method to reduce complex counterterm calculations to master integrals in Yukawa theories.

Findings

Simplifies two-loop counterterm computations

Applies Wilsonian techniques to chiral Ward identities

Provides detailed analysis of a massless Yukawa model

Abstract

In the 't Hooft-Veltman dimensional regularization scheme it is necessary to introduce finite counterterms to satisfy chiral Ward identities. It is a non-trivial task to evaluate these counterterms even at two loops. We suggest the use of Wilsonian exact renormalization group techniques to reduce the computation of these counterterms to simple master integrals. We illustrate this method by a detailed study of a generic Yukawa model with massless fermions at two loops.