B meson leptonic decay constant with quenched lattice NRQCD

Details B meson leptonic decay constant with quenched lattice NRQCD B meson leptonic decay constant with quenched lattice NRQCD

1999-05-31

arxiv.org/abs/hep-lat/9905036v1

Phys.Rev. D61 (2000) 074501

Physics

High Energy Physics

High Energy Physics - Lattice

31 pages, 24 eps figures

Scientific paper

10.1103/PhysRevD.61.074501

We present a lattice NRQCD study of the B meson decay constant in the quenched approximation with emphasis given to the scaling behavior. The NRQCD action and the heavy-light axial current we use include all terms of order 1/M and the perturbative $O(\alpha_s a)$ and $O(\alpha_s/M)$ corrections. Using simulations at three value of couplings $\beta$=5.7, 5.9 and 6.1 on lattices of size $12^3\times 32, 16^3\times 48$ and $24^3\times 64$, we find no significant $a$ dependence in $f_B$ if the $O(\alpha_s a)$ correction is included in the axial current. We obtain $f_B = 167(7)(15)$ MeV, $f_{B_s}= 191(4)(17)(^{+4}_{-0})$ MeV and $f_{B_s}/f_B =1.15(3)(1)(^{+3}_{-0})$, with the first error being statistical, the second systematic, and the third due to uncertainty of strange quark mass, while quenching errors being not included.

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