HQET at order 1/m: III. Decay constants in the quenched approximation

Abstract

We report on the computation of the $B_s$ meson decay constant in Heavy Quark Effective Theory on the lattice. The next to leading order corrections in the HQET expansion are included non-perturbatively. We estimate higher order contributions to be very small. The results are extrapolated to the continuum limit, the main systematic error affecting the computation is therefore the quenched approximation used here. The Generalized Eigenvalue Problem and the use of all-to-all propagators are important technical ingredients of our approach that allow to keep statistical and systematic errors under control. We also report on the decay constant $f_{B_s^{\prime }}$ of the first radially excited state in the $B_s$ sector, computed in the static limit.

arXiv comment(1+17) pages, 4 figures (7 pdf files); corrected eqn. (3.4), clarified discussion of RGI matrix element

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Cited by in corpus (12)

• FLAG Review 2019
• Precision lattice QCD computation of the $B^{\ast }B\pi$ coupling
• Decay constants of B-mesons from non-perturbative HQET with two light dynamical quarks
• Parameters of Heavy Quark Effective Theory from Nf=2 lattice QCD
• The b-quark mass from non-perturbative $N_f=2$ Heavy Quark Effective Theory at $O(1/m_h)$
• On the significance of B-decays to radially excited D
• Extraction of bare Form Factors for ${\mathrm{B}}_{\mathrm{s}}\to \mathrm{K}\ell \nu$ Decays in non-perturbative HQET
• A one-loop study of matching conditions for static-light flavor currents
• On the B*' --> B transition
• A Holographic Model of Heavy-light Mesons
• B-meson spectroscopy in HQET at order 1/m
• B-physics from non-perturbatively renormalized HQET in two-flavour lattice QCD