Recent results of (semi)leptonic decays of charm hadrons at BESIII

In this talk, we report the recent measurements of (semi)leptonic decays of charm mesons from the BESIII experiment, including $D^{+}\to {\mu }^{+}{\nu }_{\mu }$, $D^{+}\to {\tau }^{+}{\nu }_{\tau }$, $D^{+}\to {\eta }^{\mathrm{\prime }}{\mathrm{\ell }}^{+}{\nu }_{\mathrm{\ell }}$, and $D^{0(+)}\to \bar{K}{\mathrm{\ell }}^{+}{\nu }_{\mathrm{\ell }}$ (where $\mathrm{\ell }=e,\mu$). These measurements provide the most precise or first determinations to date of the CKM matrix elements $\mathrm{\mid }{V}_{cs(d)}\mathrm{\mid }$, the decay constant $f_{D^{+}}$, and the hadronic form factors $f_{+}^{D^{+}\to {\eta }^{\mathrm{\prime }}}(0)$ and $f_{+}^{D\to \bar{K}}(0)$. Lepton flavor universality of $e-\mu$ and $\tau -\mu$ are also tested with these decays. Additionally, we present the first observation of the rare beta decay ${\mathrm{\Lambda }}_c^{+}\to n{e}^{+}{\nu }_e$ with machine learning of Graph Neural Network.