Search for the semi-muonic charmonium decay $J/ψ\to D^{-}μ^{+}ν_μ+c.c.$

Using $(10087\pm44)\times10^{6}$ $J/ψ$ events collected with the BESIII detector at the BEPCII $e^+e^-$ storage ring at the center-of-mass energy of $\sqrt{s}=3.097~\rm{GeV}$, we present a search for the rare semi-muonic charmonium decay $J/ψ\to D^{-}μ^{+}ν_μ+c.c.$. Since no significant signal is observed, we set an upper limit of the branching fraction to be $\mathcal{B}(J/ψ\to D^{-}μ^{+}ν_μ+c.c.)<5.6\times10^{-7}$ at $90\%$ confidence level. This is the first search for the weak decay of charmonium with a muon in the final state.