Search for new physics with charm rare decays at BESIII

Search for new physics with charm rare decays at BESIII. The BESIII experiment has collected 2.6 billion $\psi (3686)$ events, 10 billion $J\mathrm{/}\psi$ events, $20f{b}^{-1}$ D meson pairs at 3.773 GeV, and $7.33f{b}^{-1}{D}_s{D}_s^{\ast }$ events from 4.128 to 4.226 GeV. The huge data samples allow us to search for rare processes in charm hadron decays. In this paper, we report the FCNC decay in $J\mathrm{/}\psi \to D^0{\mu }^{+}{\mu }^{-}$, $J\mathrm{/}\psi \to D^0\gamma$ and $D_s^{+}\to h(h^{\mathrm{\prime }})e^{+}{e}^{-}$. The search for $J\mathrm{/}\psi$ weak decays containing a D meson, $J\mathrm{/}\psi \to D_s^{-}{\pi }^{+}$, and $J\mathrm{/}\psi \to D_s^{-}{\rho }^{+}$ will also be presented.