Continuum Determination of Light Quark Masses from Quenched Lattice QCD

TL;DR

This paper calculates light quark masses using quenched lattice QCD with non-perturbative renormalization, extrapolating results to the continuum limit to obtain precise mass estimates.

Contribution

It provides the first quenched lattice QCD determination of light quark masses with non-perturbative renormalization and continuum extrapolation.

Findings

Strange quark mass ms(2 GeV) = 106 +/- 2 +/- 8 MeV

Average up/down quark mass ml(2 GeV) = 4.4 +/- 0.1 +/- 0.4 MeV

Mass ratio ms/ml = 24.3 +/- 0.2 +/- 0.6

Abstract

We compute the strange and the average up/down quark masses in the quenched approximation of lattice QCD, by using the O(a)-improved Wilson action and operators and by implementing the non-perturbative renormalization. Our computation is performed at four values of the lattice spacing, from which we could extrapolate to the continuum limit. Our final result for the strange quark mass (in the MSbar scheme) is ms(2 GeV) = (106 +/- 2 +/- 8) MeV. For the average up/down quark mass we have ml(2 GeV) = (4.4 +/- 0.1 +/- 0.4) MeV. The ratio ms/ml = (24.3 +/- 0.2 +/- 0.6).