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Pion and kaon physics with improved staggered quarks

MILC Collaboration, C. Aubin, C. Bernard, C. DeTar, Steven Gottlieb, E. B. Gregory, Urs M. Heller, J. E. Hetrick, J. Osborn, R. Sugar, D. Toussaint

Abstract

We compute pseudoscalar meson masses and decay constants using staggered quarks on lattices with three flavors of sea quarks and lattice spacings $\approx 0.12$ fm and $\approx 0.09$ fm. We fit partially quenched results to ``staggered chiral perturbation theory'' formulae, thereby taking into account the effects of taste-symmetry violations. Chiral logarithms are observed. From the fits we calculate $f_π$ and $f_K$, extract Gasser-Leutwyler parameters of the chiral Lagrangian, and (modulo rather large perturbative errors) find the light and strange quark masses.

Pion and kaon physics with improved staggered quarks

Abstract

We compute pseudoscalar meson masses and decay constants using staggered quarks on lattices with three flavors of sea quarks and lattice spacings fm and fm. We fit partially quenched results to ``staggered chiral perturbation theory'' formulae, thereby taking into account the effects of taste-symmetry violations. Chiral logarithms are observed. From the fits we calculate and , extract Gasser-Leutwyler parameters of the chiral Lagrangian, and (modulo rather large perturbative errors) find the light and strange quark masses.

Paper Structure

This paper contains 2 equations, 1 figure, 1 table.

Figures (1)

  • Figure 1: Decay constants with $m_x\!=\!m_y$. The two cyan "fancy squares" are full QCD ($m_x\!=\!m_y\!=\!m_q$) points, continuum extrapolated at fixed quark mass. The lowest two lines (dotted red and cyan) use continuum-extrapolated fit parameters, $m_x\!=\!m_y\!=\!m_q$, and either the physical or the (fine lattice) nominal strange mass. The first confidence level (CL) is computed in the standard way; the second treats the Baysean priors as if they were additional data points.