First determination of the strange and light quark masses from full lattice QCD

HPQCD collaboration, MILC collaboration, UKQCD collaboration, C. Aubin, C. Bernard, C. Davies, C. DeTar, Steven Gottlieb, A. Gray, E. Gregory, J. Hein, U. Heller, J. Hetrick, G. Lepage, Q. Mason, J. Osborn, J. Shigemitsu, R. Sugar, D. Toussaint, H. TrottierM. Wingate

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Abstract

We compute the strange quark mass $m_s$ and the average of the $u$ and $d$ quark masses $\hat m$ using full lattice QCD with three dynamical quarks combined with experimental values for the pion and kaon masses. The simulations have degenerate $u$ and $d$ quarks with masses $m_u=m_d\equiv \hat m$ as low as $m_s/8$, and two different values of the lattice spacing. The bare lattice quark masses obtained are converted to the $\msbar$ scheme using perturbation theory at $O(alpha_s)$. Our results are: $m_s^\msbar$(2 GeV) = 76(0)(3)(7)(0) MeV, $\hat m^\msbar$(2 GeV) = 2.8(0)(1)(3)(0) MeV and $m_s/\hat m$ = 27.4(1)(4)(0)(1), where the errors are from statistics, simulation, perturbation theory, and electromagnetic effects, respectively.
Original language English 5 Physical Review D - Particles, Fields, Gravitation and Cosmology 70 3 https://doi.org/10.1103/PhysRevD.70.031504 Published - 26 May 2004