Two-loop critical mass for Wilson fermions

TL;DR

This paper refines the calculation of the two-loop critical mass for Wilson fermions in lattice QCD using coordinate-space Feynman integral evaluation, confirming previous estimates and demonstrating the method's high accuracy.

Contribution

It provides a more precise two-loop critical mass calculation for Wilson fermions using the coordinate-space method, validating earlier results.

Findings

Confirmed previous numerical estimates of the critical mass.

Demonstrated the effectiveness of the coordinate-space method for high-accuracy calculations.

Presented results for various infrared regularizations.

Abstract

We have redone a recent two-loop computation of the critical mass for Wilson fermions in lattice QCD by evaluating Feynman integrals with the coordinate-space method. We present the results for different types of infrared regularization. We confirm both the previous numerical estimates and the power of the coordinate-space method whenever high accuracy is needed.