  We add the Wess-Zumino-Witten term to the N=3 massive nonlinear sigma model
and study the leading logarithms in the anomalous sector. We obtain the leading
logarithms to six loops for \pi^0 --> \gamma^*\gamma^* and to five loops for
\gamma^*\pi\pi\pi. In addition we extend the earlier work on the mass and decay
constant to six loops and the vector form factor to five loops. We present
numerical result for the anomalous processes and the vector form factor. In all
cases the series are found to converge rapidly.
