Search for the decays $B^+_{(c)} \to μ^+ ν_μγ$

Abstract

A search for the radiative leptonic decays $B^+\toμ^+ν_μγ$ and $B^+_c\toμ^+ν_μγ$ is performed using proton-proton collision data collected with the LHCb experiment at a center-of-mass energy of $13~{\rm TeV}$, corresponding to an integrated luminosity of $5.4~{\rm fb}^{-1}$. No evidence for an excess of events over background is observed for either signal decay. Upper limits at 90% confidence level are set on the branching fractions: \begin{align} {\cal{B}}(B^+\toμ^+ν_μγ)_{E_γ^\ast > 1\,\rm{GeV}} &< 4.0 \times 10^{-6},\\ {\cal{B}}(B_c^+\toμ^+ν_μγ)_{E_γ^\ast > 1\,\rm{GeV}} &< 1.6 \times 10^{-3}, \end{align} where the photon energy in the $B$-meson rest frame, $E_γ^\ast$, is required to be greater than $1~{\rm GeV}$. This constitutes the first search for these decays at a hadron collider and the first experimental investigation of the $B_c^+\toμ^+ν_μγ$ decay to date.