A one-loop study of matching conditions for static-light flavor currents

Abstract

Heavy Quark Effective Theory (HQET) computations of semi-leptonic decays, e.g. B -> pi l nu, require the knowledge of the parameters in the effective theory for all components of the heavy-light flavor currents. So far non-perturbative matching conditions have been employed only for the time component of the axial current. Here we perform a check of matching conditions for the time component of the vector current and the spatial component of the axial vector current up to one-loop order of perturbation theory and to lowest order of the 1/m-expansion. We find that the proposed observables have small higher order terms in the 1/m-series and are thus excellent candidates for a non-perturbative matching procedure.

15 pages, 5 figures; added references for sections 1 and 6

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• Extraction of bare Form Factors for ${\mathrm{B}}_{\mathrm{s}}\to \mathrm{K}\ell \nu$ Decays in non-perturbative HQET
• HQET Flavor Currents Using Automated Lattice Perturbation Theory
• Non-perturbative Heavy Quark Effective Theory: An application to semi-leptonic B-decays
• The Beauty of Lattice Perturbation Theory: The Role of Lattice Perturbation Theory in B Physics