The transition form factors for semi-leptonic weak decays of $J\mathrm{/}\psi$ in QCD sum rules

Within the Standard Model, we investigate the semi-leptonic weak decays of $J\mathrm{/}\psi$. The various form factors of $J\mathrm{/}\psi$ transiting to a single charmed meson ($D_{(d,s)}^{(\ast )}$) are studied in the framework of the QCD sum rules. These form factors fully determine the rates of the weak semi-leptonic decays of $J\mathrm{/}\psi$ and provide valuable information about the non-perturbative QCD effects. Our results indicate that the decay rate of the semi-leptonic weak decay mode $J\mathrm{/}\psi \to D_s^{(\ast )-}+e^{+}+{\nu }_e$ is at order of ${10}^{-10}$.