Abstract
We calculate the differential branching fraction, lepton forward-backward asymmetry and direct CP asymmetry for Bd,s → \( \gamma \mathrm{\ell}\overline{\mathrm{\ell}} \) decays with an energetic photon. We employ factorization methods, which result in rigorous next-to-leading order predic- tions in the strong coupling at leading power in the large-energy/heavy-quark expansion, together with estimates of power corrections and a resonance parameterization of sub- leading power form factors in the region of small lepton invariant mass q2. The Bd,s → \( \gamma \mathrm{\ell}\overline{\mathrm{\ell}} \) decay shares features of the charged-current decay Bu → \( \gamma \mathrm{\ell}{\overline{\nu}}_{\mathrm{\ell}} \)., and the FCNC decays B → \( {K}^{\left(\ast \right)}\mathrm{\ell}\overline{\mathrm{\ell}} \). As in the former, the leading-power decay rates can be expressed in terms of the B-meson light-cone distribution amplitude and short-distance factors. However, similar to B → \( {K}^{\left(\ast \right)}\mathrm{\ell}\overline{\mathrm{\ell}} \), four-quark and dipole operators contribute to the Bd,s → \( \gamma \mathrm{\ell}\overline{\mathrm{\ell}} \) decay in an essential way, limiting the calculation to q2 ≲ 6 GeV2 below the charmonium resonances in the lepton invariant mass spectrum. A detailed analysis of the main observables and theoretical uncertainties is presented.
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Beneke, M., Bobeth, C. & Wang, YM. B d,s → \( \gamma \mathrm{\ell}\overline{\mathrm{\ell}} \) decay with an energetic photon. J. High Energ. Phys. 2020, 148 (2020). https://doi.org/10.1007/JHEP12(2020)148
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DOI: https://doi.org/10.1007/JHEP12(2020)148