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

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