Non-perturbative quark mass renormalization in two-flavor QCD

TL;DR

This paper presents a non-perturbative calculation of quark mass renormalization in two-flavor lattice QCD, providing a precise method to relate lattice results to physical quark masses.

Contribution

It introduces a non-perturbative approach to determine the renormalization factor for quark masses in the Schrödinger Functional scheme in two-flavor QCD.

Findings

Computed the renormalization group invariant quark mass at three lattice spacings.

Converted the invariant mass to the strange quark mass using chiral perturbation theory.

Provided a continuum estimate for the quark mass renormalization factor.

Abstract

The running of renormalized quark masses is computed in lattice QCD with two flavors of massless O(a) improved Wilson quarks. The regularization and flavor independent factor that relates running quark masses to the renormalization group invariant ones is evaluated in the Schroedinger Functional scheme. Using existing data for the scale r_0 and the pseudoscalar meson masses, we define a reference quark mass in QCD with two degenerate quark flavors. We then compute the renormalization group invariant reference quark mass at three different lattice spacings. Our estimate for the continuum value is converted to the strange quark mass with the help of chiral perturbation theory.