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Phys. Rev. D 70, 031504(R) (2004) [5 pages]

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

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C. Aubin12,*, C. Bernard12,*, C. T. H. Davies6,†,‡, C. DeTar11,*, Steven A. Gottlieb7,*, A. Gray8,†,‡, E. B. Gregory2,*, J. Hein5,†,‡, U. M. Heller1,*, J. E. Hetrick9,*, G. P. Lepage4,†, Q. Mason4,†,‡, J. Osborn11,*, J. Shigemitsu8,†, R. Sugar3,*, D. Toussaint2,*, H. Trottier10,†, and M. Wingate13,†
1American Physical Society, One Research Road, Box 9000, Ridge, New York 11961, USA
2Department of Physics, University of Arizona, Tucson, Arizona 85721, USA
3Department of Physics, University of California, Santa Barbara, California 93106, USA
4Laboratory of Elementary-Particle Physics, Cornell University, Ithaca, New York 14853, USA
5School of Physics, University of Edinburgh, Edinburgh, EH9 3JZ, United Kingdom
6Department of Physics and Astronomy, University of Glasgow, Glasgow, G12 8QQ, United Kingdom
7Department of Physics, Indiana University, Bloomington, Indiana 47405, USA
8Physics Department, The Ohio State University, Columbus, Ohio 43210, USA
9Physics Department, University of the Pacific, Stockton, California 95211, USA
10Physics Department, Simon Fraser University, Vancouver, British Columbia, Canada
11Physics Department, University of Utah, Salt Lake City, Utah 84112, USA
12Department of Physics, Washington University, St. Louis, Missouri 63130, USA
13Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195, USA

Received 1 June 2004; published 26 August 2004

We compute the strange quark mass ms and the average of the u and d quark masses m̂ using full lattice QCD with three dynamical quarks combined with the experimental values for the π and K masses. The simulations have degenerate u and d quarks with masses mu=md≡m̂ as low as ms/8, and two different values of the lattice spacing. The bare lattice quark masses obtained are converted to the MS̅ scheme using perturbation theory at O(αS). Our results are msMS̅ (2GeV)=76(0)(3)(7)(0)MeV, mMS̅ (2GeV)=2.8(0)(1)(3)(0) MeV, and ms/m̂=27.4(1)(4)(0)(1), where the errors are from statistics, simulation, perturbation theory, and electromagnetic effects, respectively.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.70.031504
DOI:
10.1103/PhysRevD.70.031504
PACS:
12.38.Gc

*MILC Collaboration.

†HPQCD Collaboration.

‡UKQCD Collaboration.

 
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