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Chinese Physics C > 2020, Vol. 44 > Issue(12): 123106 DOI: 10.1088/1674-1137/abb6df

Revisiting radiative leptonicBdecay

  • 1.

    College of Information Science and Engineering, Ocean University of China, Qingdao 266100, China

  • 2.

    School of Physics, Nankai University, Weijin Road 94, Tianjin 300071, China

  • 3.

    School of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China

  • 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 and Si-Hong Zhou. Revisiting radiative leptonic Bdecay[J]. Chinese Physics C. doi: 10.1088/1674-1137/abb6df
Yue-Long Shen, Yan-Bing Wei, Xue-Chen Zhao and Si-Hong Zhou. Revisiting radiative leptonic Bdecay[J]. Chinese Physics C. doi:10.1088/1674-1137/abb6df shu
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Received: 2020-08-18
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    Revisiting radiative leptonicBdecay

    • 1. College of Information Science and Engineering, Ocean University of China, Qingdao 266100, China
    • 2. School of Physics, Nankai University, Weijin Road 94, Tianjin 300071, China
    • 3. School of Physical Science and Technology, Inner Mongolia University, Hohhot 010021, China
    • Received Date:2020-08-18
    • Available Online:2020-12-01
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