B meson leptonic decay constant with quenched lattice NRQCD

Abstract

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, $f_{B_s}=191(4)(17){(}_{-0}^{+4})$ MeV and $f_{B_s}/f_B=1.15(3)(1){(}_{-0}^{+3})$, 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.

arXiv comment31 pages, 24 eps figures

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• Charmed baryons in lattice QCD
• B-Bbar mixing in unquenched lattice QCD
• Heavy-light mesons with staggered light quarks
• Scaling of the B and D meson spectrum in lattice QCD
• Heavy quark physics from lattice QCD
• Heavy-light Mesons and Baryons with b quarks
• Standard Model Matrix Elements for Neutral B-Meson Mixing and Associated Decay Constants
• Recent results from lattice calculations
• B meson decay constant from two-flavor lattice QCD with non-relativistic heavy quarks
• Heavy--light decay constants in the continuum limit of quenched lattice QCD
• B meson B-parameters and the decay constant in two-flavor dynamical QCD
• Differential decay rate of $B\to \pi l\nu$ semileptonic decay with lattice NRQCD
• Heavy Quark Physics and Lattice QCD
• Scaling and Further Tests of Heavy Meson Decay Constant Determinations from Nonrelativistic QCD
• $B^0-{\bar{B}}^0$ mixing in quenched lattice QCD
• Heavy Quarks on the Lattice
• Heavy quark expansion parameters from lattice NRQCD
• Heavy flavor physics from lattice QCD
• Comparison Studies of Finite Momentum Correlators on Anisotropic and Isotropic Lattices
• Width difference in the $B_s$-${\bar{B}}_s$ system with lattice NRQCD
• Do we understand the unquenched value of fB?
• Constraints on a Model with Pure Right-Handed Third Generation Couplings
• Hadron Spectrum from Lattice QCD