TY - JOUR

T1 - Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD

AU - Aubin, C.

AU - Bernard, C.

AU - DeTar, C.

AU - Osborn, J.

AU - Gottlieb, Steven

AU - Gregory, B.

AU - Toussaint, D.

AU - Heller, U. M.

AU - Hetrick, J. E.

AU - Sugar, R.

N1 - Funding Information:
We thank Christine Davies, Peter Lepage, Junko Shigemitsu, and Matt Wingate for essential discussions and correspondence. We are grateful to Oliver Bär, Gilberto Colangelo, George Fleming, Maarten Golterman, Rajan Gupta, Shoji Hashimoto, and Laurent Lellouch for discussion and constructive criticism. C. B. thanks the Aspen Center for Physics, and D. T. thanks the Institute for Nuclear Theory at the University of Washington for hospitality during part of the course of this work. Computations for this work were performed at the San Diego Supercomputer Center (SDSC), the Pittsburgh Supercomputer Center (PSC), Oak Ridge National Laboratory (ORNL), the National Center for Supercomputing Applications (NCSA), the National Energy Resources Supercomputer Center (NERSC), Fermilab, and Indiana University. This work was supported by the U.S. Department of Energy under Grants No. DOE-DE-FG02-91ER-40628, No. DOE-DE-FG02-91ER-40661, No. DOE-DE-FG02-97ER-41022, and No. DOE-DE-FG03-95ER-40906 and National Science Foundation Grants No. NSF-PHY01-39939 and No. NSF-PHY00-98395.

PY - 2004/12

Y1 - 2004/12

N2 - As part of our program of lattice simulations of three-flavor QCD with improved staggered quarks', we have calculated pseudoscalar meson masses and decay constants for a range of valence quark masses and sea-quark masses on lattices with lattice spacings of about 0.125 and 0.09 fm. We fit the lattice data to forms computed with "staggered chiral perturbation theory." Our results provide a sensitive test of the lattice simulations, and especially of the chiral behavior, including the effects of chiral logarithms. We find: fπ = 129.5 ± 0.9 ± 3.5 MeV, fK = 156.6 ± 1.0 ± 3.6 MeV, and fK/fπ = 1.210(4)(13), where the errors are statistical and systematic. Following a recent paper by Marciano, our value of fK/fπ implies |Vus| = 0.2219(26). Further, we obtain ṁ/md = 0.43(0)(1)(8), where the errors are from statistics, simulation systematics, and electromagnetic effects, respectively The partially quenched data can also be used to determine several of the constants of the low energy chiral effective Lagrangian: In particular, we find 2L8-L5 = -0.2(1)(2) × 10-3 at chiral scale mη, where the errors are statistical and systematic. This provides an alternative (though not independent) way of estimating mu: the value of 2L8-L 5 is far outside the range that would allow the up quark to be massless. Results for msMS̄, m̂ MS̄, and ms/m̂ can be obtained from the same lattice data and chiral fits, and have been presented previously in joint work with the HPQCD and UKQCD collaborations. Using the perturbative mass renormalization reported in that work, we obtain mu MS̄ = 1.7(0)(1)(2)(2) MeV and mdMS̄ = 3.9(0)(1)(4)(2) MeV at scale 2 GeY with errors from statistics, simulation, perturbation theory, and electromagnetic effects, respectively.

AB - As part of our program of lattice simulations of three-flavor QCD with improved staggered quarks', we have calculated pseudoscalar meson masses and decay constants for a range of valence quark masses and sea-quark masses on lattices with lattice spacings of about 0.125 and 0.09 fm. We fit the lattice data to forms computed with "staggered chiral perturbation theory." Our results provide a sensitive test of the lattice simulations, and especially of the chiral behavior, including the effects of chiral logarithms. We find: fπ = 129.5 ± 0.9 ± 3.5 MeV, fK = 156.6 ± 1.0 ± 3.6 MeV, and fK/fπ = 1.210(4)(13), where the errors are statistical and systematic. Following a recent paper by Marciano, our value of fK/fπ implies |Vus| = 0.2219(26). Further, we obtain ṁ/md = 0.43(0)(1)(8), where the errors are from statistics, simulation systematics, and electromagnetic effects, respectively The partially quenched data can also be used to determine several of the constants of the low energy chiral effective Lagrangian: In particular, we find 2L8-L5 = -0.2(1)(2) × 10-3 at chiral scale mη, where the errors are statistical and systematic. This provides an alternative (though not independent) way of estimating mu: the value of 2L8-L 5 is far outside the range that would allow the up quark to be massless. Results for msMS̄, m̂ MS̄, and ms/m̂ can be obtained from the same lattice data and chiral fits, and have been presented previously in joint work with the HPQCD and UKQCD collaborations. Using the perturbative mass renormalization reported in that work, we obtain mu MS̄ = 1.7(0)(1)(2)(2) MeV and mdMS̄ = 3.9(0)(1)(4)(2) MeV at scale 2 GeY with errors from statistics, simulation, perturbation theory, and electromagnetic effects, respectively.

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U2 - 10.1103/PhysRevD.70.114501

DO - 10.1103/PhysRevD.70.114501

M3 - Article

AN - SCOPUS:13544250712

VL - 70

SP - 114501-1-114501-34

JO - Physical Review D

JF - Physical Review D

SN - 0556-2821

IS - 11

M1 - 114501

ER -