Factorization of Radiative Leptonic Decays of $B^{-}$ and $D^{-}$ Mesons Including the Soft Photon Region

Abstract

In this work, we study the radiative leptonic decays of $B^{-}$ and $D^{-}$ mesons using factorization approach. Factorization is proved to be valid explicitly at 1-loop level at any order of $O({\Lambda }_{\mathrm{QCD}}/m_Q)$. We consider the contribution in the soft photon region that $E_{\gamma }\sim {\Lambda }_{\mathrm{QCD}}^2/m_Q$. The numerical results shows that, the soft photon region is very important for both the $B$ and $D$ mesons. The branching ratios of $B\to \gamma e{\nu }_e$ is $5.21\times 10^{-6}$, which is about $3$ times of the result obtained by only considering the hard photon region $E_{\gamma }\sim m_Q$. And for the case of $D\to \gamma e{\nu }_e$, the result of the branching ratio is $1.92\times 10^{-5}$.

arXiv admin note: text overlap with arXiv:1409.0358

References in corpus (4)

• Big-Bang Nucleosynthesis
• Search for B+ -> l+ nu gamma decays with hadronic tagging using the full Belle data sample
• Factorization of Radiative Leptonic Decays of $B^{-}$ and $D^{-}$ Mesons
• Soft-collinear factorization in B decays

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• Factorization of radiative leptonic D-meson decay with sub-leading power corrections
• $W$ radiative decay to heavy-light mesons in HQET factorization through $\mathcal{O}({\alpha }_s)$
• 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