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We present a dispersive analysis of the three-pion decays of the lightestisoscalar vector mesons. The framework allows for a consistent implementationof final-state interactions among all three pions, with the results beingsolely dependent on the pion-pion P-wave scattering phase shift. We compare ourresults with the very precise KLOE measurement of phi --> 3pi. The omega/phi--> 3pi partial-wave amplitude serves as input to a dispersive analysis of theomega/phi --> pi0 gamma* transition form factor. We compare to data for omega--> pi0 mu+ mu- by the NA60 collaboration and motivate an experimentalmeasurement of the OZI forbidden phi --> pi0 l+ l- decays in order tounderstand the strong deviations in the omega channel.

Dispersive analysis of omega/phi --> 3pi decays and the omega/phi --> pi0 gamma* transition form factors