Heavy-Quark Condensate and Vacuum Energy Anomalous Dimension at Five Loops

TL;DR

This paper computes the heavy-quark condensate at five-loop order in QCD, including non-zero quark masses, and confirms the five-loop vacuum anomalous dimension previously calculated.

Contribution

First five-loop calculation of heavy-quark condensate in QCD with non-zero quark masses, confirming prior vacuum anomalous dimension results.

Findings

Validated the five-loop vacuum anomalous dimension in QCD.

Extended perturbative calculations to include non-zero quark masses.

Provided a benchmark for future high-order QCD computations.

Abstract

We present the perturbative heavy-quark condensate at five-loop order in QCD. This constitutes the first calculation at this order accounting for non-vanishing quark masses. Our result confirms the computation of the five-loop vacuum anomalous dimension by Baikov and Chetyrkin.