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arXiv · 0910.3102

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·H. Trottier
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Abstract

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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C. T. H. Davies, C. McNeile, K. Y. Wong, E. Follana, R. Horgan, K. Hornbostel, G. P. Lepage, J. Shigemitsu, H. Trottier. 2010-03-11. Precise charm to strange mass ratio and light quark masses from full lattice QCD. https://doi.org/10.1103/physrevlett.104.132003

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