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

## TL;DR

This study computes decay constants for various mesons using Wilson fermions at a specific lattice parameter, highlighting systematic errors and discussing continuum extrapolation.

## Contribution

It provides high-statistics lattice QCD results for meson decay constants with detailed analysis of systematic uncertainties at $eta=6.0$.

## Key findings

- Decay constants are estimated with statistical errors.
- Systematic errors surpass statistical uncertainties.
- Discussion on continuum limit extrapolation.

## 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 $f_\pi=134(4) \MeV$, $f_K =159(3) \MeV$, $f_D = 229(7) \MeV$, $f_{D_s} = 260(4) \MeV$, 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.