Abstract
Heavy Quark Effective Theory (HQET) computations of semi-leptonic decays, e.g. B → πlν, 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.
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ArXiv ePrint: 1211.0866
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The ALPHA collaboration., Hesse, D. & Sommer, R. A one-loop study of matching conditions for static-light flavor currents. J. High Energ. Phys. 2013, 115 (2013). https://doi.org/10.1007/JHEP02(2013)115
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DOI: https://doi.org/10.1007/JHEP02(2013)115