The four-loop DRED gauge beta-function and fermion mass anomalous dimension for general gauge groups

TL;DR

This paper computes four-loop gauge beta-functions and fermion mass anomalous dimensions for general gauge theories using dimensional reduction, confirming previous supersymmetric results and extending high-order calculations.

Contribution

It provides the first four-loop calculations of these quantities for general gauge groups and fermion representations, using the dimensional reduction scheme.

Findings

Confirmed previous supersymmetric beta-function calculations.

Extended high-order calculations to non-supersymmetric theories.

Provided detailed four-loop results for gauge and fermion mass anomalous dimensions.

Abstract

We present four-loop results for the gauge beta-function and the fermion mass anomalous dimension for a gauge theory with a general gauge group and a multiplet of fermions transforming according to an arbitrary representation, calculated using the dimensional reduction scheme. In the special case of a supersymmetric theory we confirm previous calculations of both the gauge beta-function and the gaugino mass beta-function.