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arxiv: 0910.3102 · v2 · submitted 2009-10-16 · ✦ hep-ph · hep-lat

Precise charm to strange mass ratio and light quark masses from full lattice QCD

C. T. H. Davies , C. McNeile , K. Y. Wong , E. Follana , R. Horgan , K. Hornbostel , G. P. Lepage , J. Shigemitsu
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H. Trottier
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classification ✦ hep-ph hep-lat
keywords quarkcharmmassesaveragefulllatticelightmass
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By using a single formalism to handle charm, strange and light valence quarks in full lattice QCD for the first time, we are able to determine ratios of quark masses to 1%. For $m_c/m_s$ we obtain 11.85(16), an order of magnitude more precise than the current PDG average. Combined with 1% determinations of the charm quark mass now possible this gives $\bar{m}_s(2{\rm GeV}) =$ 92.4(1.5) MeV. The MILC result for $m_s/m_l = 27.2(3) $ yields $\bar{m}_l(2{\rm GeV})$ = 3.40(7) MeV for the average of $u$ and $d$ quark masses.

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