$$\omega \rightarrow 3\pi $$ and $$\omega \pi ^{0}$$ transition form factor revisited

Abstract

In light of recent experimental results, we revisit the dispersive analysis of the ω→3π decay amplitude and of the ωπ0 transition form factor. Within the framework of the Khuri–Treiman equations, we show that the ω→3π Dalitz-plot parameters obtained with a once-subtracted amplitude are in agreement with the latest experimental determination by BESIII. Furthermore, we show that at low energies the ωπ0 transition form factor obtained from our determination of the ω→3π amplitude is consistent with the data from MAMI and NA60 experiments.