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Leading logarithms in the anomalous sector of two-flavour QCD
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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.
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Cited by 1 Pith paper
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Extracting the chiral anomaly from $e^+e^-\to 3\pi$
A dispersive fit to e+e−→3π data yields F3π = 33.1(1.7) GeV^-3, consistent with the chiral anomaly prediction at the 5% level.
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