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. Trottier; M. Wingate

doi:10.1103/PhysRevD.70.031504

paper

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

arXiv:hep-lat/0405022 · doi:10.1103/PhysRevD.70.031504

Abstract

We compute the strange quark mass $m_{s}$ and the average of the $u$ and $d$ quark masses $m^$ 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 $m_{u} = m_{d} \equiv m^$ 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 $O (a l p h a_{s})$ . 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 $m_{s} / m^$ = 27.4(1)(4)(0)(1), where the errors are from statistics, simulation, perturbation theory, and electromagnetic effects, respectively.

5 pages, revtex, 2 figures. v2: New ms/hat(m) discussion and reference, v3: slight change in discussion of reference