Search for the radiative decays $D^{+}\to \gamma {\rho }^{+}$ and $D^{+}\to \gamma K^{\ast +}$

We search for the radiative decays $D^{+}\to \gamma {\rho }^{+}$ and $D^{+}\to \gamma K^{\ast +}$ using 20.3~fb${}^{-1}$ of $e^{+}{e}^{-}$ annihilation data collected at the center-of-mass energy $\sqrt{s}=3.773$ GeV by the BESIII detector operating at the BEPCII collider. No significant signals are observed, and the upper limits on the branching fractions of $D^{+}\to \gamma {\rho }^{+}$ and $D^{+}\to \gamma K^{\ast +}$ at 90% confidence level are set to be $1.3\times {10}^{-5}$ and $1.8\times {10}^{-5}$, respectively.