Patterns of - and -violation in hadronic and three-body decays
Hakan Akdag🇩🇪 · Tobias Isken🇩🇪 · Bastian Kubis🇩🇪
We construct hadronic amplitudes for the three-body decays and in a non-perturbative fashion, allowing for - and -violating asymmetries in the distributions. These amplitudes are consistent with the constraints of analyticity and unitarity. We find that the currently most accurate Dalitz-plot distributions taken by the KLOE-2 and BESIII collaborations confine the patterns of these asymmetries to a relative per mille level. Our dispersive representation allows us to extract the individual coupling strengths of the - and -violating contributions arising from effective isoscalar and isotensor operators in and an effective isovector operator in , while the strongly different sensitivities to these operators can be understood from chiral power counting arguments.