HQET at order 1/m: I. Non-perturbative parameters in the quenched approximation
Abstract
We determine non-perturbatively the parameters of the lattice HQET Lagrangian and those of the time component of the heavy-light axial-vector current in the quenched approximation. The HQET expansion includes terms of order 1/m. Our results allow to compute, for example, the heavy-light spectrum and B-meson decay constants in the static approximation and to order 1/m in HQET. The determination of the parameters is separated into universal and non-universal parts. The universal results can be used to determine the parameters for various discretizations. The computation reported in this paper uses the plaquette gauge action and the "HYP1/2" action for the b-quark described by HQET. The parameters of the current also depend on the light-quark action, for which we choose non-perturbatively O(a)-improved Wilson fermions.
Keywords
Cite
@article{arxiv.1001.4783,
title = {HQET at order 1/m: I. Non-perturbative parameters in the quenched approximation},
author = {Benoît Blossier and Michele Della Morte and Nicolas Garron and Rainer Sommer},
journal= {arXiv preprint arXiv:1001.4783},
year = {2014}
}
Comments
31 pages (19 pages + technical appendices) pdflatex. Discussion of vector current removed. Replaced by the published version, references added