English

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

High Energy Physics - Lattice 2008-02-03 v3

Abstract

We present results of a high statistics study of fπf_\pi, fKf_K, fDf_D, fDsf_{D_s}, and fV1f_V^{-1} in the quenched approximation using Wilson fermions at β=6.0\beta=6.0 on 323×6432^3 \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 fπ=134(4)\MeVf_\pi=134(4) \MeV, fK=159(3)\MeVf_K =159(3) \MeV, fD=229(7)\MeVf_D = 229(7) \MeV, fDs=260(4)\MeVf_{D_s} = 260(4) \MeV, and fV1(mρ)=0.33(1)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.

Keywords

Cite

@article{arxiv.hep-lat/9510044,
  title  = {Decay constants with Wilson fermions at $\beta=6.0$},
  author = {Tanmoy Bhattacharya and Rajan Gupta},
  journal= {arXiv preprint arXiv:hep-lat/9510044},
  year   = {2008}
}

Comments

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