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Recent Lattice Results on the Light Quark Masses

Paul B. Mackenzie

hep-pharXiv:hep-ph/9609261

Abstract

I discuss old and new determinations of the light quark masses using lattice QCD. Most lattice results using various approximations can be fit together in a simple picture which is consistent with lower values than conventionally supposed: in the quenched approximation for the strange quark mass in the MS bar scheme, ms(2 GeV) = 95 (16) MeV, and for the average of the u and d quark masses, ml(2 GeV) = 3.6 (6) MeV. An estimate of the effects of light quark loops yields answers lower still: ms(2 GeV) in the range 54 - 92 MeV, and ml(2 GeV) in the range 2.1 - 3.5 MeV.

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