f_K/f_pi in Full QCD with Domain Wall Valence Quarks

Details f_K/f_pi in Full QCD with Domain Wall Valence Quarks f_K/f_pi in Full QCD with Domain Wall Valence Quarks

2006-06-30

arxiv.org/abs/hep-lat/0606023v1

Phys.Rev.D75:094501,2007

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, 9 figures

Scientific paper

10.1103/PhysRevD.75.094501

We compute the ratio of pseudoscalar decay constants f_K/f_pi using domain-wall valence quarks and rooted improved Kogut-Susskind sea quarks. By employing continuum chiral perturbation theory, we extract the Gasser-Leutwyler low-energy constant L_5, and extrapolate f_K/f_pi to the physical point. We find: f_K/f_pi = 1.218 (+- 0.002) (+0.011 -0.024) where the first error is statistical and the second error is an estimate of the systematic due to chiral extrapolation and fitting procedures. This value agrees within the uncertainties with the determination by the MILC collaboration, calculated using Kogut-Susskind valence quarks, indicating that systematic errors arising from the choice of lattice valence quark are small.

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