[Submitted on 3 Nov 2021] (cross-list from hep-ph)
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.
- Comments:
- 43 pages, 9 figures, 5 tables; v2: discussion extended, version published in JHEP; v3: incorporates an erratum that fixes the phases of the C-violating norms by hermiticity and time reversal
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Experiment (hep-ex); Nuclear Theory (nucl-th)
- arXiv:
- 2111.02417 [pdf]