Khuri-Treiman analysis of $J/ψ\toπ^{+}π^{-}π^{0}$

We study the decay $J/ψ\toπ^{+}π^{-}π^{0}$ within the framework of the Khuri-Treiman equations. We find that the BESIII experimental di-pion mass distribution in the $ρ(770)$-region is well reproduced with a once-subtracted $P$-wave amplitude. Furthermore, we show that $F$-wave contributions to the amplitude improve the description of the data in the $ππ$ mass region around 1.5 GeV. We also present predictions for the $J/ψ\toπ^{0}γ^{*}$ transition form factor.