Towards QCD at Five Loops

TL;DR

This paper discusses recent advances in five-loop perturbative QCD calculations, including quark condensates, decoupling, and precise quark mass determinations, highlighting initial results from complex diagram computations.

Contribution

It presents new five-loop calculations in QCD, advancing precision in quark mass determinations and related perturbative quantities.

Findings

First results for gauge-invariant five-loop diagrams

Improved precision in charm and bottom quark masses

Enhanced understanding of QCD decoupling and condensates

Abstract

We report on recent progress on five-loop calculations in perturbative QCD. We discuss the computation of the perturbative quark condensate, decoupling in QCD, and the precision determination of charm and bottom quark masses. For the latter, we give some first results from a gauge-invariant subset of five-loop diagrams.