An alternative formulation of infra-red counterterms

TL;DR

This paper introduces a new method for defining infra-red counterterms in dimensional regularisation, simplifying the process and ensuring compatibility with standard MSbar UV counterterms.

Contribution

It proposes a straightforward alternative formulation for infra-red counterterms that results in simple closed expressions and aligns with existing MSbar UV counterterms.

Findings

Counterterms are given by simple closed expressions.

The method reproduces standard MSbar UV counterterms.

Simplifies the infra-red counterterm definition process.

Abstract

We present an alternative procedure for defining infra-red counterterms within dimensional regularisation for use in the $R^*$ procedure. The counterterms are given by simple closed expressions, and lead to the standard MSbar UV counterterms.