Probing the ΔU=0 rule in three body charm decays

CP violation in charm decay was observed in the decays D-0 -> (PP -/+)-P-+/- of a D-0 meson to two pseudoscalars. When interpreted within the SM, the results imply that the ratio of the relevant rescattering amplitudes has a magnitude and phase that are both of O(1). We discuss ways to probe similar ratios in D-0 -> (VP -/+)-P-+/- decays, where V is a vector that decays to two pseudoscalars, from the Dalitz-plot analysis of time-integrated three-body decays. Compared to two-body decays, three-body decays have the advantage that the complete system can be solved without the need for time-dependent CP violation measurements or use of correlated D-0-(D) over bar (0) production. We discuss the decays D-0 -> pi(+)pi(-)pi(0) and D-0 -> K+K-pi(0) as examples by considering a toy model of only two overlapping charged resonances, treating the underlying pseudo two-body decays in full generality.

Automated summary

CP violation in charm decay was observed in D-0 meson decaying to two pseudoscalars, with implications for relevant rescattering amplitudes. Different approaches to probe similar ratios in D-0 decays were discussed, including the advantage of three-body decays over two-body decays. Specific examples of D-0 decays were considered using a toy model of charged resonances.