$ω\to 3π$ and $ωπ^{0}$ transition form factor revisited

In light of recent experimental results, we revisit the dispersive analysis of the $ω\to 3π$ decay amplitude and of the $ωπ^0$ transition form factor. Within the framework of the Khuri-Treiman equations, we show that the $ω\to 3π$ 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 $ωπ^0$ transition form factor obtained from our determination of the $ω\to 3π$ amplitude is consistent with the data from MAMI and NA60 experiments.

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