The decays $\omega /\varphi \to 3\pi$ are considered in the dispersive framework that is based on the isobar decomposition and subenergy unitarity. The inelastic contributions are parametrized by the power series in a suitably chosen conformal variable that properly accounts for the analytic properties of the amplitude. The Dalitz plot distributions and integrated decay widths are presented. Our results indicate that the final-state interactions may be sizable. As a further application of the formalism we also compute the electromagnetic transition form factors of $\omega /\varphi \to {\pi }^0{\gamma }^{*}$.

• Received 9 October 2014

DOI:https://doi.org/10.1103/PhysRevD.91.094029