Prospects and status of quark mass renormalization in three-flavour QCD

TL;DR

This paper discusses a revised non-perturbative strategy using finite-size scaling in Schrödinger functional to compute the running of quark masses in three-flavor QCD with improved Wilson quarks.

Contribution

It introduces a new approach to determine the scale dependence of quark masses in three-flavor QCD, including a scheme-switch at intermediate couplings.

Findings

Successful implementation of the finite-size scaling method

Accommodation of non-perturbative scheme-switching

Progress towards precise quark mass renormalization

Abstract

We present the current status of a revised strategy to compute the running of renormalized quark masses in QCD with three flavours of massless O(a) improved Wilson quarks. The strategy employed uses the standard finite-size scaling method in the Schr\"odinger functional and accommodates for the non-perturbative scheme-switch which becomes necessary at intermediate renormalized couplings as discussed in [arXiv:1411.7648].