Search for the Radiative Leptonic Decay $D^{+}\to \gamma e^{+}{\nu }_e$

Using an electron-positron collision data sample of 2.93 fb${}^{-1}$ collected at a center-of-mass energy of $\sqrt{s}=3.773$ GeV with the BESIII detector, we present the first search for the radiative leptonic decay $D^{+} \rightarrow \gamma e^{+}{\nu}{e}$. The analysis is performed with a double tag method. We do not observe a significant $D^{+}\to \gamma e^{+}{\nu }_e$ signal, and obtain an upper limit on the branching fraction of $D^{+} \rightarrow \gamma e^{+}{\nu}{e}$ decay with the energy of radiative photon larger than 10 MeV of $3.0\times {10}^{-5}$ at the 90% confidence level.