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The radiative leptonic $B\to \gamma\ell\nu_{\ell}$ decay serves as an idealplatform to determine the $B$-meson inverse moment which is a fundamentalnonperturbative parameter for the $B$ meson. In this paper, we explore preciseQCD contributions to this decay with an energetic photon. We reproduce thenext-to-next-to-leading-logarithmic resummation formula for the decay amplitudeat leading power in $\Lambda_{\rm QCD}/m_b$. Employing operator identities, wecalculate subleading-power contributions from the expansion of thehard-collinear propagator of the internal up quark and the heavy-quarkexpansion of the bottom quark. We update the contributions from the hadronicstructure of the photon to the $\decay$ process with the dispersion technique.Together with other yet known power corrections, phenomenological applicationsincluding the partial branching fraction and ratio of the branching fractionsof the radiative $B$ decay are investigated.

QCD factorization for the $B\to \gamma\ell\nu_{\ell}$ decay beyond leading power