# Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators

## TL;DR

This paper extends the five-loop calculation of the quark mass anomalous dimension to general gauge groups using four-loop massless propagators, providing explicit formulas and insights into the structure of perturbative results.

## Contribution

It introduces a general gauge group extension of the five-loop fermion anomalous dimension and offers explicit formulas based on four-loop propagator calculations.

## Key findings

- Derived explicit formulas for renormalization constants.
- Extended the anomalous dimension calculation to arbitrary gauge groups.
- Provided new insights into the absence of even zetas in certain perturbative results.

## Abstract

We extend the ${\cal O}(\alpha_s^5)$ result of the analytic calculation of the quark mass anomalous dimension in pQCD [1] to the case of a generic gauge group. We present explicit formulas which express the relevant renormalization constants in terms of four-loop massless propagators. We also use our result to shed new light on the old puzzle of the absence of even zetas in results of perturbative calculations for a class of physical observables.