Two-loop Perturbative Quark Mass Renormalization from Large Beta Monte Carlo

TL;DR

This paper computes heavy Wilson quark mass renormalization constants using large beta Monte Carlo simulations, confirming one-loop results and providing preliminary two-loop coefficients.

Contribution

It introduces a Monte Carlo approach at large beta for calculating quark mass renormalization constants, including a preliminary two-loop coefficient estimate.

Findings

One-loop coefficient matches analytical results.

Simulations at various beta values enable infinite volume extrapolation.

Preliminary two-loop coefficient reported.

Abstract

We present the calculation of heavy Wilson quark mass renormalization constants from large beta Monte Carlo simulations. Simulations were performed at various beta larger than 9, each on several spatial lattice sizes to allow for an infinite volume extrapolation. We use twisted boundary conditions to suppress tunneling and work in Coulomb gauge with appropriate adjustments for the temporal links. The one-loop coefficient obtained from this method is in agreement with the analytical result and a preliminary result for the second order coefficient is reported.