Results for light pseudoscalars from three-flavor simulations

Details Results for light pseudoscalars from three-flavor simulations Results for light pseudoscalars from three-flavor simulations

2004-09-10

arxiv.org/abs/hep-lat/0409041v1

Nucl.Phys.Proc.Suppl.140:231-233,2005

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented at Lattice2004(spectrum), Fermilab, June 21 - 26, 2004; 3 pages, 2 figures

Scientific paper

10.1016/j.nuclphysbps.2004.11.17

We compute pseudoscalar meson masses and decay constants in partially quenched QCD with three dynamical flavors of improved staggered quarks. Fitting the lattice data to staggered chiral perturbation theory forms and extrapolating in quark mass and lattice spacing, we find: $f_\pi = 129.5 \pm 0.9 \pm 3.5$ MeV, $f_K = 156.6 \pm 1.0 \pm 3.6$ MeV, and $f_K/f_\pi = 1.210(4)(13)$. The value for $f_K/f_\pi$ implies $|V_{us}|=0.2219(26)$. We also obtain $m_u/m_d = 0.43(0)(1)(8)$, or, with more input on electromagnetic effects from the continuum, $m_u/m_d = 0.41(0)(1)(4)$. Using the one-loop perturbative mass renormalization, we determine $m_u$ and $m_d$ in the MSbar scheme.

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