Decay constants with Wilson fermions at $\beta =6.0$

Abstract

We present results of a high statistics study of $f_{\pi }$, $f_K$, $f_D$, $f_{D_s}$, and $f_V^{-1}$ in the quenched approximation using Wilson fermions at $\beta =6.0$ on $32^3\times 64$ lattices. We find that the various sources of systematic errors (due to setting the quark masses, renormalization constant, and lattice scale) are now larger than the statistical errors. Our best estimates, without extrapolation to the continuum limit, are $f_π=134(4) \MeV$, $f_K =159(3) \MeV$, $f_D = 229(7) \MeV$, $f_{D_s} = 260(4) \MeV$, and $f_V^{-1}(m_{\rho })=0.33(1)$, where only statistical errors have been shown. We discuss the extrapolation to the continuum limit by combining our data with those from other collaborations.

29 pages. Package submitted in uufiles format: unpack and tex paper.tex. Modified "axis" source for figures also included. Needs macro packages lanlmac and epsf. Uses hyperbasics if available. Revised section on extrapolation to the continuum limit. Revised section on quenched chiral logs

References in corpus (2)

• Leptonic and Semileptonic Decays of Charm and Bottom Hadrons
• Hadron Spectrum with Wilson fermions

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• The Gell-Mann -- Okubo mass relation among baryons from fully-dynamical mixed-action lattice QCD
• Status of Heavy Quark Physics on the Lattice
• Bose-Einstein Correlations and Color Reconnection in W-pair production
• Heavy Light Weak Matrix Elements
• Light vector meson decay constants and the renormalization factor from a tadpole-improved action