Chiral extrapolation of lattice data for B-meson decay constant

Abstract

The B-meson decay constant fB has been calculated from unquenched lattice QCD in the unphysical region. For extrapolating the lattice data to the physical region, we propose a phenomenological functional form based on the effective chiral perturbation theory for heavy mesons, which respects both the heavy quark symmetry and the chiral symmetry, and the non-relativistic constituent quark model which is valid at large pion masses. The inclusion of pion loop corrections leads to nonanalytic contributions to fB when the pion mass is small. The finite-range regularization technique is employed for the resummation of higher order terms of the chiral expansion. We also take into account the finite volume effects in lattice simulations. The dependence on the parameters and other uncertainties in our model are discussed.

11 pages, 3 Postscript figures, accepted for publication in EPJC

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Cited by in corpus (6)

• Analysis of the masses and decay constants of the heavy-light mesons with QCD sum rules
• B- to light-meson transition form factors
• Wave functions and decay constants of $B$ and $D$ mesons in the relativistic potential model
• Analysis of the decay constants of the heavy pseudoscalar mesons with QCD sum rules
• B Meson Decays
• $V_{cb}$ from the semileptonic decay $B\to D\ell {\bar{\nu }}_{\ell }$ and the properties of the $D$ meson distribution amplitude