Can LHCb Study Three Body Decays with Neutrals?

Abstract

We present the first attempt to use a new method to measure CP violation in Dalitz plots. This method is unbinned, model independent and has a greater sensitivity to CP violating effects than binned methods. Preliminary studies have been made using the three-body decays $D^0 \rightarrow K_\mathrm{S}^0 h^+ h^-$ and $D^0 \rightarrow h^+ h^- \pi^0$, which are especially challenging since there is one neutral particle in each of the final states. An attempt to visualise where CP violation occurs in Dalitz plots is also presented.