Light and strange quark masses from $N_f=2+1$ simulations with Wilson fermions

TL;DR

This paper reports on the determination of light and strange quark masses using $N_f=2+1$ Wilson fermion lattice simulations, employing non-perturbative renormalization and RG-running to obtain results in standard schemes.

Contribution

It provides a nearly final analysis of quark masses from CLS $N_f=2+1$ simulations with Wilson/Clover quarks, including non-perturbative renormalization and RG evolution.

Findings

Quark masses are obtained in $ar{MS}$ and RGI schemes.

Results are based on four lattice spacings and multiple quark masses.

Uses non-perturbative renormalization and RG running for accuracy.

Abstract

We present a nearly final analysis of the $u/d$ and $s$ quark masses, extracted using the PCAC quark masses reported in [PRD 95 (2017) 074504]. The data is based on the CLS $N_f = 2 + 1$ simulations with Wilson/Clover quarks and L\"uscher-Weisz gauge action, at four $\beta$ values (i.e. lattice spacings) and a range of quark masses. We use the ALPHA results of [EPJC 78 (2018) 387] for non-perturbative quark mass renormalisation and RG-running from hadronic to electroweak scales in the Schr\"odinger Functional scheme. Quark masses are quoted both in the $\overline{\rm MS}$ scheme and as RGI quantities.