Decay constants with Wilson fermions at $β=6.0$

Details Decay constants with Wilson fermions at $β=6.0$ Decay constants with Wilson fermions at $β=6.0$

1995-10-24

arxiv.org/abs/hep-lat/9510044v3

Phys.Rev. D54 (1996) 1155-1166

Physics

High Energy Physics

High Energy Physics - Lattice

29 pages. Package submitted in uufiles format: unpack and tex paper.tex. Modified "axis" source for figures also included. Nee

Scientific paper

10.1103/PhysRevD.54.1155

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.

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