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Title: High-precision determination of the light-quark masses from realistic lattice QCD

Abstract

Three-flavor lattice QCD simulations and two-loop perturbation theory are used to make the most precise determination to date of the strange-, up-, and down-quark masses, m{sub s}, m{sub u}, and m{sub d}, respectively. Perturbative matching is required in order to connect the lattice-regularized bare-quark masses to the masses as defined in the MS scheme, and this is done here for the first time at next-to-next-to leading (or two-loop) order. The bare-quark masses required as input come from simulations by the MILC collaboration using so-called staggered quarks, with three flavors of light quarks in the Dirac sea; these simulations were previously analyzed in a joint study by the HPQCD and MILC collaborations, using degenerate u and d quarks, with masses as low as m{sub s}/8, and two values of the lattice spacing, with chiral extrapolation/interpolation to the physical masses. With the new perturbation theory presented here, the resulting MS masses are m{sub s}{sup MS}(2 GeV)=87(0)(4)(4)(0) MeV, and m-circumflex{sup MS}(2 GeV)=3.2(0)(2)(2)(0) MeV, where m-circumflex=(1/2)(m{sub u}+m{sub d}) is the average of the u and d masses. The respective uncertainties are from statistics, simulation systematics, perturbation theory, and electromagnetic/isospin effects. The perturbative errors are about a factor of 2 smaller than in an earliermore » study using only one-loop perturbation theory. Using a recent determination of the ratio m{sub u}/m{sub d}=0.43(0)(1)(0)(8) due to the MILC collaboration, these results also imply m{sub u}{sup MS}(2 GeV)=1.9(0)(1)(1)(2) MeV and m{sub d}{sup MS}(2 GeV)=4.4(0)(2)(2)(2) MeV. A technique for estimating the next order in the perturbative expansion is also presented, which uses input from simulations at more than one lattice spacing; this method is used here in the estimate of the systematic uncertainties.« less

Authors:
;  [1];  [2];  [3];  [4]
  1. Department of Applied Mathematics and Theoretical Physics, Cambridge University, Wilberforce Road, Cambridge CB3 0WA (United Kingdom)
  2. Department of Physics, Simon Fraser University, 8888 University Drive, Burnaby, British Columbia, V5A 1S6 (Canada)
  3. Department of Physics and Astronomy, University of Glasgow, Glasgow, G12 8QQ (United Kingdom)
  4. Laboratory of Elementary-Particle Physics, Cornell University, Ithaca, New York 14853 (United States)
Publication Date:
OSTI Identifier:
20774816
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 73; Journal Issue: 11; Other Information: DOI: 10.1103/PhysRevD.73.114501; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACCURACY; CHIRAL SYMMETRY; CHIRALITY; COMPUTERIZED SIMULATION; D QUARKS; FLAVOR MODEL; GEV RANGE; ISOSPIN; LATTICE FIELD THEORY; MASS; MEV RANGE; PERTURBATION THEORY; QUANTUM CHROMODYNAMICS; STATISTICS; U QUARKS

Citation Formats

Mason, Quentin, Horgan, Ron, Trottier, Howard D, TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3, Davies, Christine T.H., and Lepage, G Peter. High-precision determination of the light-quark masses from realistic lattice QCD. United States: N. p., 2006. Web. doi:10.1103/PhysRevD.73.114501.
Mason, Quentin, Horgan, Ron, Trottier, Howard D, TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3, Davies, Christine T.H., & Lepage, G Peter. High-precision determination of the light-quark masses from realistic lattice QCD. United States. https://doi.org/10.1103/PhysRevD.73.114501
Mason, Quentin, Horgan, Ron, Trottier, Howard D, TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3, Davies, Christine T.H., and Lepage, G Peter. Thu . "High-precision determination of the light-quark masses from realistic lattice QCD". United States. https://doi.org/10.1103/PhysRevD.73.114501.
@article{osti_20774816,
title = {High-precision determination of the light-quark masses from realistic lattice QCD},
author = {Mason, Quentin and Horgan, Ron and Trottier, Howard D and TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3 and Davies, Christine T.H. and Lepage, G Peter},
abstractNote = {Three-flavor lattice QCD simulations and two-loop perturbation theory are used to make the most precise determination to date of the strange-, up-, and down-quark masses, m{sub s}, m{sub u}, and m{sub d}, respectively. Perturbative matching is required in order to connect the lattice-regularized bare-quark masses to the masses as defined in the MS scheme, and this is done here for the first time at next-to-next-to leading (or two-loop) order. The bare-quark masses required as input come from simulations by the MILC collaboration using so-called staggered quarks, with three flavors of light quarks in the Dirac sea; these simulations were previously analyzed in a joint study by the HPQCD and MILC collaborations, using degenerate u and d quarks, with masses as low as m{sub s}/8, and two values of the lattice spacing, with chiral extrapolation/interpolation to the physical masses. With the new perturbation theory presented here, the resulting MS masses are m{sub s}{sup MS}(2 GeV)=87(0)(4)(4)(0) MeV, and m-circumflex{sup MS}(2 GeV)=3.2(0)(2)(2)(0) MeV, where m-circumflex=(1/2)(m{sub u}+m{sub d}) is the average of the u and d masses. The respective uncertainties are from statistics, simulation systematics, perturbation theory, and electromagnetic/isospin effects. The perturbative errors are about a factor of 2 smaller than in an earlier study using only one-loop perturbation theory. Using a recent determination of the ratio m{sub u}/m{sub d}=0.43(0)(1)(0)(8) due to the MILC collaboration, these results also imply m{sub u}{sup MS}(2 GeV)=1.9(0)(1)(1)(2) MeV and m{sub d}{sup MS}(2 GeV)=4.4(0)(2)(2)(2) MeV. A technique for estimating the next order in the perturbative expansion is also presented, which uses input from simulations at more than one lattice spacing; this method is used here in the estimate of the systematic uncertainties.},
doi = {10.1103/PhysRevD.73.114501},
url = {https://www.osti.gov/biblio/20774816}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 11,
volume = 73,
place = {United States},
year = {2006},
month = {6}
}