Reactions with pions and vector mesons in the sector of odd intrinsic parity

The Wess-Zumino-Witten structure is supplemented by a simple vector-meson Lagrangian where the vector mesons are described by antisymmetric tensor fields. With the \( \rho\) -\( \omega\) -\( \pi\) coupling as the only parameter in the sector of odd intrinsic parity, i.e. without additional contact terms, one can achieve a proper description of the decay of an \( \omega\) -meson into three pions, the single- and double-virtual pion transition form factor and the three-pion production in electron-positron collisions.