Search for the rare decays $W^+ \to D^+_sγ$ and $Z \to D^0γ$ at LHCb

Abstract: A search for the rare decays $W^{+}\rightarrow{D^{+}_{s}\gamma}$ and $Z\rightarrow{D^{0}\gamma}$ is performed using proton-proton collision data collected by the LHCb experiment at a centre-of-mass energy of 13 TeV, corresponding to an integrated luminosity of 2.0 fb$^{-1}$. No significant signal is observed for either decay mode and upper limits on their branching fractions are set using $W^{+}\rightarrow{\mu^{+}\nu}$ and $Z\rightarrow{\mu^{+}\mu^{-}}$ decays as normalization channels. The upper limits are $6.5\times10^{-4}$ and $2.1\times10^{-3}$ at 95% confidence level for the $W^{+}\rightarrow{D^{+}_{s}\gamma}$ and $Z\rightarrow{D^{0}\gamma}$ decay modes, respectively. This is the first reported search for the $Z\rightarrow{D^{0}\gamma}$ decay, while the upper limit on the $W^{+}\rightarrow{D^{+}_{s}\gamma}$ branching fraction improves upon the previous best limit.