Factorization of Radiative Leptonic Decays of $B^{-}$ and $D^{-}$ Mesons

Abstract

In this work, we study the factorization of the radiative leptonic decays of $B^{-}$ and $D^{-}$ mesons, the contributions of the order $O({\Lambda }_{\mathrm{QCD}}/m_Q)$ are taken into account. The factorization is proved to be valid explicitly at the order $O({\alpha }_s{\Lambda }_{\mathrm{QCD}}/m_Q)$. The hard kernel is obtained. The numerical results are calculated using the wave-function obtained in relativistic potential model. The $O({\Lambda }_{\mathrm{QCD}}/m_Q)$ contribution is found to be very important, the correction to the decay amplitudes of $B^{-}\to \gamma e\bar{\nu }$ is about $20\%-30\%$. For $D$ mesons, the $O({\Lambda }_{\mathrm{QCD}}/m_Q)$ contributions are more important.

arXiv comment26 pages, 8 figures. Version to appear in Nucl. Phys. B

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• Measurement of the absolute branching fraction of inclusive semielectronic $D_s^{+}$ decays
• Search for the Radiative Leptonic Decay $D^{+}\to \gamma e^{+}{\nu }_e$
• Search for the decay $D_s^{+}\to \gamma e^{+}{\nu }_e$
• Effect of the Charged Higgs Bosons in the Radiative Leptonic Decays of $B^{-}$ and $D^{-}$ Mesons
• Factorization of Radiative Leptonic Decays of $B^{-}$ and $D^{-}$ Mesons Including the Soft Photon Region
• Factorization of radiative leptonic D-meson decay with sub-leading power corrections
• Search for the decay $D_s^{+}\to \omega e^{+}\nu$
• Precision Measurement of the Branching Fraction of $D^{+}\to {\mu }^{+}{\nu }_{\mu }$
• Search for the radiative leptonic decay $D^{+}\to \gamma e^{+}{\nu }_e$ using Deep Learning