# Complete renormalization of QCD at five loops

## TL;DR

This paper provides comprehensive five-loop calculations of anomalous dimensions and the Beta function in QCD, extending previous results to general gauge groups and completing the 5-loop renormalization framework.

## Contribution

It introduces new five-loop analytical results for ghost field and vertex anomalous dimensions for general gauge groups, expanding the renormalization knowledge in gauge theories.

## Key findings

- Five-loop anomalous dimensions for ghost fields and vertices are computed.
- Results are generalized from SU(3) to arbitrary gauge groups.
- The 5-loop renormalization program for gauge theories is completed.

## Abstract

We present new analytical five-loop Feynman-gauge results for the anomalous dimensions of ghost field and -vertex, generalizing the known values for SU(3) to a general gauge group. Together with previously published results on the quark mass and -field anomalous dimensions and the Beta function, this completes the 5-loop renormalization program of gauge theories in that gauge.