Meson Decay Constant Predictions of the Valence Approximation to Lattice QCD

We evaluate $f_{\pi }\mathrm{/}{m}_{\rho }$, $f_K\mathrm{/}{m}_{\rho }$, $1\mathrm{/}{f}_{\rho }$, and $m_{\varphi }\mathrm{/}(f_{\varphi }{m}_{\rho })$, extrapolated to physical quark mass, zero lattice spacing and infinite volume, for lattice QCD with Wilson quarks in the valence (quenched) approximation. The predicted $m_{\varphi }\mathrm{/}(f_{\varphi }{m}_{\rho })$ differs from experiment by less than its statistical uncertainty of approximately 15%. The other three constants are 10% to 20% below experiment, equivalent to between one and two times the corresponding statistical uncertainties.