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On the Decay Mode $B^- \to μ^- \bar ν_μγ$

A QCD relativistic potential model is employed to compute the decay rate and the photon spectrum of the process $B^- \to μ^- {\bar ν}_μγ$. The result ${\cal B}(B^- \to μ^- {\bar ν}_μγ) \simeq 1 \times 10^{-6}$ confirms the enhancement of this decay channel with respect to the purely leptonic mode, and supports the proposal of using this process to access relevant hadronic quantities such as the $B$-meson leptonic decay constant and the CKM matrix element $V_{ub}$.