Search for $B^0\rightarrow K^{*0}K_{\rm S}^0$ decay at BaBar

We present the result of a search for rare decays of $B$ mesons into $K^{*0}K_{\rm S}^0$ where $K^{*0}\rightarrow K^+\pi^-$ and $K_ {\rm S}^0\rightarrow \pi^+\pi^-$. We use a sample of approximately 227 million B-meson pairs recorded at the $\Upsilon(4S)$ resonance by the BaBar detector at the PeP-II $B$ Factory at SLAC. This decay mode provides input to theoretical studies of rare $B$ decays using flavor- symmetry or factorization methods.