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

Abstract

We search for the radiative decays $D^{+} \to \gamma \rho^+$ and $D^{+} \to \gamma K^{*+}$ 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 $D^{+} \to \gamma K^{*+}$ at 90\% confidence level are set to be $1.3\times10^{-5}$ and $1.8\times10^{-5}$, respectively.