Search for Radiative \(D_s\) Decays in Belle

In the Standard Model, the physics of charm meson is not expected to have new physics discovery potential because the CP asymmetries and \(D^{0}\) - \(\bar{D^0}\) oscillations are small. It has been pointed out that the c \(\rightarrow \) u \(\gamma \) decays might have some contributions from the non-minimal supersymmetry, which is the new physics scenario. From earlier studies, we noticed \(R_{\rho /\omega }\) could be violated already in the Standard Model framework, while a similar relation for \(D_{s}^{+}\) radiative decays offers a much better test for c \(\rightarrow \) u \(\gamma \) . Here, we present a sensitivity study of the radiative charm decays, \(D_{s}^{+}\rightarrow \rho ^+ \gamma \) and \(D_{s}^{+} \rightarrow K^{*+} \gamma \) at the Belle detector. The study assumes the full data set recorded by the Belle detector at the \(\Upsilon \) (4S) resonance containing 772 million \(B\bar{B}\) pairs from \(e^{+}e^{-}\) collisions produced by the KEKB collider. This study will be the first search for the radiative decays of \(D_s\) mesons.