Consistent Dalitz plot analysis of Cabibbo-favored D+→K¯ππ+ decays

Abstract

We resume the study of the Cabibbo-favored charmed-meson decays D+→K¯ππ+ in a dispersive framework that satisfies unitarity, analyticity, and crossing symmetry by construction. The formalism explicitly describes the strong final-state interactions between all three decay products and relies on pion–pion and pion–kaon phase shift input. For the first time, we show that the D+→KSπ0π+ Dalitz plot obtained by the BESIII collaboration as well as the D+→K−π+π+ Dalitz plot data by CLEO and FOCUS can be described consistently, exploiting the isospin relation between the two coupled decay channels that provides better constraints on the subtraction constants. Keywords: Hadronic decays of charmed mesons, Meson–meson interactions, Dispersion relations, Partial-wave analysis