$B_{d,s}\to \gamma \ell \bar{\ell }$ decay with an energetic photon

Abstract

We calculate the differential branching fraction, lepton forward-backward asymmetry and direct CP asymmetry for $B_{d,s}\to \gamma \ell \bar{\ell }$ decays with an energetic photon. We employ factorization methods, which result in rigorous next-to-leading order predictions 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 $q^2$. The $B_{d,s}\to \gamma \ell \bar{\ell }$ decay shares features of the charged-current decay $B_u\to \gamma \ell {\bar{\nu }}_{\ell }$, and the FCNC decays $B\to K^{(\ast )}\ell \bar{\ell }$. 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 $B\to K^{(\ast )}\ell \bar{\ell }$, four-quark and dipole operators contribute to the $B_{d,s}\to \gamma \ell \bar{\ell }$ decay in an essential way, limiting the calculation to $q^2\lesssim 6$GeV${}^2$ below the charmonium resonances in the lepton invariant mass spectrum. A detailed analysis of the main observables and theoretical uncertainties is presented.

arXiv comment50 pages, LaTeX; v2: Corrected sign typos in (3.48) and (3.52), results not affected

References in corpus (18)

• FLAG Review 2019
• $B\to V{\ell }^{+}{\ell }^{-}$ in the Standard Model from Light-Cone Sum Rules
• Power-enhanced leading-logarithmic QED corrections to $B_q\to {\mu }^{+}{\mu }^{-}$
• Light-Cone Distribution Amplitudes for Heavy-Quark Hadrons
• B meson distribution amplitude from B --> γl ν
• Factorization in leptonic radiative B -> gamma eνdecays
• NNLO vertex corrections to non-leptonic B decays: Tree amplitudes
• Heavy-to-light B meson form factors at large recoil energy -- spectator-scattering corrections
• Radiative leptonic decay $B\to \gamma \ell {\nu }_{\ell }$ with subleading power corrections
• Soft contribution to $B\to \gamma \ell {\nu }_{\ell }$ and the $B$-meson distribution amplitude
• Subleading-power corrections to the radiative leptonic $B\to \gamma \ell \nu$ decay in QCD
• The bottom-quark mass from non-relativistic sum rules at NNNLO
• Factorization and dispersion relations for radiative leptonic $B$ decay
• Penguins with Charm and Quark-Hadron Duality
• Radiative Dileptonic Decays of B Mesons
• Inverse moment of the $B_s$-meson distribution amplitude from QCD sum rule
• Faking $B_s\to {\mu }^{+}{\mu }^{-}$
• Complete Analysis on the Short Distance Contribution of $B_s\to {\ell }^{+}{\ell }^{-}\gamma$ in Standard Model

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