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

Dirk Hesse, Rainer Sommer
2013 Journal of High Energy Physics  
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
more » ... rbation 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.
doi:10.1007/jhep02(2013)115 fatcat:wfpz63jps5h7nccfihebsxyymi