A lattice QCD calculation of the B meson decay constant is presented. In order to investigate the scaling violation associated with the heavy quark, parallel simulations are carried out employing both Wilson and the O(a)-improved clover actions for the heavy quark. The discretization errors due to the large b quark mass are estimated in a systematic way with the aid of the non-relativistic interpretation approach of El-Khadra, Kronfeld and Mackenzie. As our best value from the quenched simulations at β=5.9, 6.1 and 6.3 we obtain fB=163±16 MeV and fBs=175±18 MeV in the continuum limit where the error includes both statistical and systematic uncertainties.
@article{arxiv.hep-lat/9711041,
title = {B meson decay constant from quenched Lattice QCD},
author = {JLQCD collaboration and S. Aoki and M. Fukugita and S. Hashimoto and N. Ishizuka and Y. Iwasaki and K. Kanaya and Y. Kuramashi and M. Okawa and A. Ukawa and T. Yoshié},
journal= {arXiv preprint arXiv:hep-lat/9711041},
year = {2007}
}