Search for $D^0 \rightarrow \ell^+ \ell^-$

We present the results of a search for the rare flavor changing neutral current decay $D^0 \rightarrow \ell^+ \ell^-$ using the full dataset of the {\sl B{\scriptsize A}B{\scriptsize AR}} experiment, which corresponds to an integrated luminosity of approximately $530~{\rm fb}^{-1}$. We will show results for the $\mu^+ \mu^-$, $e^+ e^-$, and $e^\pm \mu^\pm$ final states.