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High Energy Physics - Phenomenology

arXiv:1604.08300 (hep-ph)
[Submitted on 28 Apr 2016 (v1), last revised 25 Nov 2016 (this version, v2)]

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

Authors:Ji-Chong Yang, Mao-Zhi Yang
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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 $O(\Lambda_{\rm QCD}\left/m_Q\right.)$. We consider the contribution in the soft photon region that $E_{\gamma} \sim \left. \Lambda^2_{\rm QCD} /\right. m_Q$. 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 $1.92\times 10^{-5}$.
Comments: arXiv admin note: text overlap with arXiv:1409.0358
Subjects: High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:1604.08300 [hep-ph]
  (or arXiv:1604.08300v2 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1604.08300
Related DOI: https://doi.org/10.1016/j.nuclphysb.2016.11.012

Submission history

From: Ji-Chong Yang Mr [view email]
[v1] Thu, 28 Apr 2016 04:03:24 UTC (250 KB)
[v2] Fri, 25 Nov 2016 07:54:27 UTC (251 KB)
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