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arXiv · hep-lat/9908005

A Lattice Determination of Light Quark Masses

M. Gockeler·R. Horsley·H. Oelrich·D. Petters·D. Pleiter·P. E. L. Rakow·G. Schierholz·P. Stephenson
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Abstract

A fully non-perturbative lattice determination of the up/down and strange quark masses is given for quenched QCD using both, $O(a)$ improved Wilson fermions and ordinary Wilson fermions. For the strange quark mass with $O(a)$ improved fermions we obtain $m^{\msbar}_s(μ=2 {GeV}) = 105(4) {MeV}$, using the interquark force scale $r_0$. Due to quenching problems fits are only possible for quark masses larger than the strange quark mass. If we extrapolate our fits to the up/down quark mass we find for the average mass $m^{\msbar}_l(μ=2 {GeV}) = 4.4(2) {MeV}$.

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M. Gockeler, R. Horsley, H. Oelrich, D. Petters, D. Pleiter, P. E. L. Rakow, G. Schierholz, P. Stephenson. 1999-08-05. A Lattice Determination of Light Quark Masses. https://doi.org/10.1103/physrevd.62.054504

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