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

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

2009-10-16

arxiv.org/abs/0910.3102v2

Phys.Rev.Lett.104:132003,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 2 figures. Version accepted by Physical Review Letters. Changes include modifying the title, using the MILC value for

Scientific paper

10.1103/PhysRevLett.104.132003

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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