Measurement of the branching fraction and $CP$ asymmetry in radiative $D^0 \to V \gamma$ decays

We report a measurement of the branching fractions of the radiative decays $D^0 \to V \gamma$, where $V=\phi,~\overline{K}{}^{*0}$ or $\rho^0$. This is the first observation of the decay $D^0 \to \rho^0 \gamma$. We measure preliminary branching fractions $\mathcal{B}(D^0 \to \phi \gamma)=(2.76 \pm 0.20 \pm 0.08) \times 10^{-5}$, $\mathcal{B}(D^0 \to \overline{K}{}^{*0} \gamma)=(4.66 \pm 0.21 \pm 0.18) \times 10^{-4} $ and $\mathcal{B}(D^0 \to \rho^0 \gamma)=(1.77 \pm 0.30 \pm 0.08) \times 10^{-5}$, where the first uncertainty is statistical and the second systematic. We also present the first measurement of $CP$ asymmetry in these decays. The preliminary values are $\mathcal{A}_{CP}(D^0 \to \phi \gamma)=-(0.094 \pm 0.066 \pm 0.001)$, $\mathcal{A}_{CP}(D^0 \to \overline{K}{}^{*0} \gamma)=-(0.003 \pm 0.020 \pm 0.000)$ and $\mathcal{A}_{CP}(D^0 \to \rho^0 \gamma)=0.056 \pm 0.151 \pm 0.006$. The analysis was conducted using 943 fb$^{-1}$ of data collected by the Belle detector at the KEKB $e^+e^-$ collider.