Precision computation of the strange quark's mass in quenched QCD

Details Precision computation of the strange quark's mass in quenched QCD Precision computation of the strange quark's mass in quenched QCD

1999-06-17

arxiv.org/abs/hep-lat/9906013v1

Nucl.Phys.B571:237-256,2000

Physics

High Energy Physics

High Energy Physics - Lattice

23 pages, latex

Scientific paper

10.1016/S0550-3213(99)00714-2

We determine the renormalization group invariant quark mass corresponding to the sum of the strange and the average light quark mass in the quenched approximation of QCD, using as essential input the mass of the K-mesons. In the continuum limit we find $(M_s + M_{light})/F_K=0.874(29)$, which includes systematic errors. Translating this non-perturbative result into the running quark masses in the $\msbar$-scheme at $\mu=2 GeV$ and using the quark mass ratios from chiral perturbation theory, we obtain $\mbar_s(2 GeV)=97(4) MeV$. With the help of recent results by the CP-PACS Collaboration, we estimate that a 10% higher value would be obtained if one replaced $F_K$ by the nucleon mass to set the scale. This is a typical ambiguity in the quenched approximation.

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