Dispersion-theoretical analysis of the D^+ --> K^- pi^+ pi^+ Dalitz plot

Understand

We study the Dalitz plot of the Cabibbo-favored charmed-meson decay $D^+\to K^-\pi^+\pi^+$ using dispersion theory.

• The formalism respects all constraints from analyticity and unitarity, and consistently describes final-state interactions between all three decay products.
• We employ pion-pion and pion-kaon phase shifts as input, and fit the pertinent subtraction constants to Dalitz plot data by the CLEO and FOCUS collaborations.
• Phase motions of resonant as well as nonresonant amplitudes are discussed, which should provide crucial input for future studies of CP violation in similar three-body charm decays.