Soft contribution to $B\to \gamma \ell {\nu }_{\ell }$ and the $B$-meson distribution amplitude

Abstract

The $B\to \gamma \ell {\nu }_{\ell }$ decay at large energies of the photon receives a numerically important soft-overlap contribution which is formally of the next-to-leading order in the expansion in the inverse photon energy. We point out that this contribution can be calculated within the framework of heavy-quark expansion and soft-collinear effective theory, making use of dispersion relations and quark-hadron duality. The soft-overlap contribution is obtained in a full analogy with the similar contribution to the ${\gamma }^{\ast }\gamma \to \pi$ transition form factor. This result strengthens the case for using the $B\to \gamma \ell {\nu }_{\ell }$ decay to constrain the $B$-meson distribution amplitude and determine its most important parameter, the inverse moment ${\lambda }_B$.

11 pages, 3 figures

References in corpus (7)

• Measurement of gamma gamma* --> pi0 transition form factor at Belle
• Form Factors from Light-Cone Sum Rules with B-Meson Distribution Amplitudes
• Evidence for B- -> tau- nu_tau-bar with a Hadronic Tagging Method Using the Full Data Sample of Belle
• $B\to \pi \ell {\nu }_l$ Width and $|V_{ub}|$ from QCD Light-Cone Sum Rules
• Light Cone Sum Rules for the pi0-gamma*-gamma Form Factor Revisited
• Comparing antithetic trends of data for the pion-photon transition form factor
• BELLE Data on the ${\pi }^0\gamma \ast \gamma$ Form Factor: A Game Changer?

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