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

TL;DR

This paper updates the calculation of light and strange quark masses in QCD with 2+1 dynamical flavors using improved Wilson fermions, covering multiple lattice spacings and pion masses to ensure accurate physical extrapolation.

Contribution

It provides a comprehensive analysis of quark masses with non-perturbative renormalization across various lattice spacings and pion masses, improving previous estimates.

Findings

Results include quark masses at physical pion mass

Analysis of cutoff and chiral effects models

Controlled extrapolation to the physical point

Abstract

We report on the status of an update of our collaboration's previous computation of light and strange quark masses in QCD with $N_{f}=2+1$ dynamical flavours. Bare quark masses are extracted from CLS ensembles, using $O(a)$-improved Wilson fermions, and the mass renormalization is performed non-perturbatively in the Schr\"odinger functional scheme over a wide range of scales to make safe contact with perturbation theory. Results for five lattice spacings, down to $a\sim 0.038 \textrm{ fm}$, and pion masses reaching the physical value are included in the analysis. This allows for the exploration of different models for cutoff and chiral effects, and a controlled extrapolation to the physical point.