Lattice results for the decay constant of heavy-light vector mesons

Abstract

We compute the leptonic decay constants of heavy-light vector mesons in the quenched approximation. The reliability of lattice computations for heavy quarks is checked by comparing the ratio of vector to pseudoscalar decay constant with the prediction of Heavy Quark Effective Theory in the limit of infinitely heavy quark mass. Good agreement is found. We then calculate the decay constant ratio for B mesons: $f_{B^{\ast }}/f_B=1.01(0.01){(}_{-0.01}^{+0.04})$. We also quote quenched $f_{B^{\ast }}=177(6)(17)$ MeV.

arXiv comment11 pages, 3 postscript figs., revtex; two references added

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• Basis light front quantization for the charged light mesons with color singlet Nambu--Jona-Lasinio interactions
• Decay constants of heavy-light mesons in the relativistic quark model
• Non-perturbative tests of Heavy Quark Effective Theory
• Soft Photon Problem in Leptonic B-decays
• Semileptonic $B\to \pi$ Decays from an Omnès Improved Nonrelativistic Constituent Quark Model
• Lattice QCD at the end of 2003
• Decay constants of P-wave heavy-light mesons from unquenched lattice QCD
• The Pseudoscalar Meson and Heavy Vector Meson Scattering Lengths
• Determination of the strong coupling $g_{B^{\ast }B\pi }$ from semi-leptonic $B\to \pi \ell \nu$ decay
• SU(3) breaking corrections to the $D$, $D^{\ast }$, $B$, and $B^{\ast }$ decay constants
• Probing Intrinsic Charm with Semileptonic B Decays