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Analogous to NRQCD factorization for heavy quarkonium exclusive production,in this work we propose to employ the heavy-quark-effective-theory (HQET)factorization, which has been predominantly applied to account for exclusive$B$ decays, to study the exclusive production of the heavy-flavored mesons. Wetake $W\to B(D_s)+\gamma$ as a prototype process. The validity of the HQETfactorization rests upon the presumed scale hierarchy: $m_W\sim m_b\gg\Lambda_{\rm QCD}$. Through an explicit analysis at next-to-leading order in$\alpha_s$ yet at leading order in $1/m_b$, we verify that the decay formfactors can indeed be expressed as the convolution between perturbativelycalculable hard-scattering kernel and the $B$ meson light-cone distributionamplitude (LCDA) defined in HQET. It is observed that the factorization scaledependence becomes reduced after incorporating the NLO perturbative correction.An interesting future investigation is to identify and resum large collinearlogarithms of $m_W/m_b$ that arise ubiquitously in the fixed-order expressionsof the hard-scattering kernel in HQET factorization.

$W$ radiative decay to heavy-light mesons in HQET factorization through ${\cal O}(\alpha_s)$