Abstract
The B-meson light-cone distribution amplitude is an important non- perturbative quantity arising in the factorization of the amplitudes for many exclusive decays of B mesons, such as B− → γℓ−\( \overline{\nu} \). We reconsider the renormalization-group (RG) equation satisfied by this function and present its solution at next-to-leading order (NLO) in RG-improved perturbation theory in Laplace space and, for the first time, in momentum space and the so-called diagonal (or dual) space. Since the information needed to describe the B decay processes at leading order in ΛQCD/mb is most directly contained in the distribution amplitude in Laplace space evaluated near the origin, we propose a convenient parameterization of this object in terms of a small set of uncorrelated hadronic parameters. Using recent results on the three-loop anomalous dimension for heavy-light current operators, we derive an expression for the convolution integral appearing in the B− → γℓ−\( \overline{\nu} \) factorization formula that is explicitly scale independent, and we evaluate this formula at (approximate) NNLO.
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Galda, A.M., Neubert, M. & Wang, X. Factorization and Sudakov resummation in leptonic radiative B decay — a reappraisal. J. High Energ. Phys. 2022, 148 (2022). https://doi.org/10.1007/JHEP07(2022)148
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DOI: https://doi.org/10.1007/JHEP07(2022)148