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.

31 pages (19 pages + technical appendices) pdflatex. Discussion of vector current removed. Replaced by the published version, references added

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• HQET at order 1/m: III. Decay constants in the quenched approximation
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• Non-perturbative renormalization of the static quark theory in a large volume
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