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arXiv · 2009.03480

Revisiting radiative leptonic $B$ decay

Yue-Long Shen·Yan-Bing Wei·Xue-Chen Zhao·Si-Hong Zhou
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Abstract

In this paper, we summarize the existing methods of solving the evolution equation of the leading-twist $B$-meson LCDA. Then, in the Mellin space, we derive a factorization formula with next-to-leading-logarithmic (NLL) resummation for the form factors $F_{A,V}$ in the $B \to \gamma \ell\nu$ decay at leading power in $\Lambda/m_b$. Furthermore, we investigate the power suppressed local contributions, factorizable non-local contributions (which are suppressed by $1/E_\gamma$ and $1/m_b$), and soft contributions to the form factors. In the numerical analysis, which employs the two-loop-level hard function and the jet function, we find that both the resummation effect and the power corrections can sizably decrease the form factors. Finally, the integrated branching ratios are also calculated for comparison with future experimental data.

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Yue-Long Shen, Yan-Bing Wei, Xue-Chen Zhao, Si-Hong Zhou. 2020-09-08. Revisiting radiative leptonic $B$ decay. https://doi.org/10.1088/1674-1137%2Fabb6df

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