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

By C. Aubin, C. Bernard, C. DeTar, J. Osborn, S. Gottlieb, E. Gregory, D. Toussaint, U. Heller, J. Hetrick, R. Sugar. 2004

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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: f{sub {pi}}=129.5{+-}0.9{+-}3.5 MeV, f{sub K}=156.6{+-}1.0{+-}3.6 MeV, and f{sub K}/f{sub {pi}}=1.210(4)(13), where the errors are statistical and systematic. Following a recent paper by Marciano, our value of f{sub K}/f{sub {pi}} implies |V{sub us}|=0.2219(26). Further, we obtain m{sub u}/m{sub d}=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 2L{sub 8}-L{sub 5}=-0.2(1)(2)x10{sup -3} at chiral scale m{sub {eta}}, where the errors are statistical and systematic. This provides an alternative (though not independent) way of estimating m{sub u}; the value of 2L{sub 8}-L{sub 5} is far outside the range that would allow themore » up quark to be massless. Results for m{sub s}{sup MS}, m-circumflex{sup MS}, and m{sub s}/m-circumflex 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 m{sub u}{sup MS}=1.7(0)(1)(2)(2) MeV and m{sub d}{sup MS}=3.9(0)(1)(4)(2) MeV at scale 2 GeV, with errors from statistics, simulation, perturbation theory, and electromagnetic effects, respectively.« less

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b0c66ee0dff5e0fa2ca883b99f6ce7afcfa9a5d3

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In Nuclear and High Energy Physics

Citations in the corpus

Review of lattice results concerning low-energy particle physics (2016, methodology): “HPQCD 05 [147] 2 + 1 240 PQ RSχPT fits HPQCD/MILC/UKQCD 04, MILC 04 [107,148] 2 + 1 240 PQ RSχPT fits”
Review of lattice results concerning low-energy particle physics (2010, methodology): “MILC 04, 07, 09, 09A, 10, 10A [6, 77, 103, 111, 171, 322] 2 + 1 tadSym Asqtad”
Nonperturbative QCD Simulations with 2+1 Flavors of Improved Staggered Quarks (2009, background): “…of thea0 channel in the staggered fermion formulation a peculiarity was encountered: it was found that on coarse lattices thea0 correlator appeared to have a spectral contribution with an anomalously low mass, lighter than any physical decay channel (Aubin et al., 2004a; Gregoryet al., 2006).”
Kaon Decays in the Standard Model (2011, unknown): “…(4.14) and of the kaon (Antonelli et al., 2010b) ΓKµ2(γ) = 51.25± 0.16 (µs)−1, (4.15) 2 Based on the results from Allton et al. (2008); Aoki et al. (2009); Aubin et al. (2008, 2004); Bazavov et al. (2010, 2009); Beane et al. (2007); Bernard et al. (2007); Blossier et al. (2009); Dürr et al.…”
Flavor Physics in the Quark Sector (2009, unknown): “Collaboration fK/fπ Mπ (MeV) MπL a (fm) Nf [308, 309] MILC 1.”
Light Hadron Masses from Lattice QCD (2012, background): “…is some numerical indication that out of the chiral limit rooted staggered fermions do indeed have correct continuum behavior for many observables (Aubin et al., 2004; Bazavov et al., 2010a,b; Davies et al., 2005, 2004; Durr and Hoelbling, 2004, 2005b; Durr et al., 2004; Follana et al., 2008).”
FLAG Review 2019 (2019, methodology): “9) MILC 04 [166] 2+1 A ◦ ◦ ◦ na ∆MΥ 129.”