B meson decay constant from quenched Lattice QCD
JLQCD collaboration, S. Aoki, M. Fukugita, S. Hashimoto, N. Ishizuka, Y. Iwasaki, K. Kanaya, Y. Kuramashi, M. Okawa, A. Ukawa, T. Yoshié
Abstract
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=16316 MeV and fBs=17518 MeV in the continuum limit where the error includes both statistical and systematic uncertainties.
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