Dispersive analysis of omega --> 3pi and phi --> 3pi decays

Abstract

We study the three-pion decays of the lightest isoscalar vector mesons, omega and phi, in a dispersive framework that allows for a consistent description of final-state interactions between all three pions. Our results are solely dependent on the phenomenological input for the pion-pion P-wave scattering phase shift. We predict the Dalitz plot distributions for both decays and compare our findings to recent measurements of the phi --> 3pi Dalitz plot by the KLOE and CMD-2 collaborations. Dalitz plot parameters for future precision measurements of omega --> 3pi are predicted. We also calculate the pi-pi P-wave inelasticity contribution from omega-pi intermediate states.

23 pages, 18 figures; discussion extended, Appendix D added, matches version published in EPJC

References in corpus (8)

• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• $\eta \to 3\pi$ at Two Loops In Chiral Perturbation Theory
• Cusps in K --> 3 pi decays
• Infrared regularization for spin-1 fields
• Cusps in K_L --> 3 pi decays
• On the radiative decays of light vector and axial-vector mesons
• The cusp effect in eta' --> eta pi pi decays
• Hadronic three-body decays of light vector mesons

Cited by in corpus (2)

• Extracting the chiral anomaly from gamma pi --> pi pi
• Improving the Hadron Physics of Non-Standard-Model Decays: Example Bounds on R-parity Violation