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.
Keywords
Cite
@article{arxiv.1211.0866,
title = {A one-loop study of matching conditions for static-light flavor currents},
author = {Dirk Hesse and Rainer Sommer},
journal= {arXiv preprint arXiv:1211.0866},
year = {2015}
}
Comments
15 pages, 5 figures; added references for sections 1 and 6