Estimating the Unquenched Strange Quark Mass from the Lattice Axial Ward Identity

TL;DR

This paper accurately determines the strange quark mass using lattice QCD with improved Wilson fermions and non-perturbative renormalization, providing results in the MSbar scheme at 2GeV.

Contribution

It presents a non-perturbative lattice calculation of the strange quark mass with improved Wilson fermions and includes a detailed error analysis.

Findings

Strange quark mass ms = 111(6)(4)(6) MeV in MSbar scheme at 2GeV

Provides light quark mass and chiral condensate estimates

Results are consistent across different scale settings

Abstract

We present a determination of the strange quark mass for two flavours (nf=2) of light dynamical quarks using the axial Ward identity. The calculations are performed on the lattice using O(a) improved Wilson fermions and include a fully non-perturbative determination of the renormalisation constant. In the continuum limit we find in the MSbar scheme at 2GeV, ms = 111(6)(4)(6)MeV using the force scale r0 = 0.467fm, where the first error is statistical, the second and third are systematic due to the fit and scale uncertainties respectively. Results are also presented for the light quark mass and the chiral condensate. The corresponding results are also given for r0=0.5fm.