Patterns of C- and CP-violation in hadronic ? and ?? three-body decays

A bstract We construct hadronic amplitudes for the three-body decays ? (?) ? ? + ? 0 and ? ?? in a non-perturbative fashion, allowing C - CP -violating asymmetries distributions. These are consistent with constraints of analyticity unitarity. find that currently most accurate Dalitz-plot distributions taken by KLOE-2 BESIII collaborations confine patterns these to relative per mille cent level, respectively. Our dispersive representation allows us extract individual coupling strengths contributions arising from effective isoscalar isotensor operators an isovector operator ?? , while strongly different sensitivities can be understood chiral power counting arguments.