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

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

2004-07-20

arxiv.org/abs/hep-lat/0407028v3

Phys.Rev.D70:114501,2004

Physics

High Energy Physics

High Energy Physics - Lattice

86 pages, 22 figures. v3: Remarks about m_u=0 and the strong CP problem modified; reference added. Figs 5--8 modified for clar

Scientific paper

10.1103/PhysRevD.70.114501

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 fm 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_\pi=129.5(0.9)(3.5)MeV, f_K=156.6(1.0)(3.6)MeV, and f_K/f_\pi=1.210(4)(13), where the errors are statistical and systematic. Following a recent paper by Marciano, our value of f_K/f_\pi implies |V_{us}|=0.2219(26). Further, we obtain m_u/m_d= 0.43(0)(1)(8), where the errors are from statistics, simulation systematics, and electromagnetic effects, respectively. The data can also be used to determine several of the constants of the low energy effective Lagrangian: in particular we find 2L_8-L_5=-0.2(1)(2) 10^{-3} at chiral scale m_\eta. This provides an alternative (though not independent) way of estimating m_u; 2L_8-L_5 is far outside the range that would allow m_u=0. Results for m_s^\msbar, \hat m^\msbar, and m_s/\hat m 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_u^\msbar=1.7(0)(1)(2)(2)MeV and m_d^\msbar=3.9(0)(1)(4)(2)MeV at scale 2 GeV, with errors from statistics, simulation, perturbation theory, and electromagnetic effects, respectively.

Affiliated with

Also associated with

No associations

Rating

Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-143165