Leading logarithms in the anomalous sector of two-flavour QCD

Abstract

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 π^0 --> γ^*γ^* and to five loops for γ^*πππ. 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.

27 pages, 8 figures, 7 tables, published version

References in corpus (6)

• A New Measurement of the ${\pi }^0$ Radiative Decay Width
• Resonance saturation in the odd-intrinsic parity sector of low-energy QCD
• New Precise Measurement of the Pion Weak Form Factors in the Pi+ -> e+ nu gamma Decay
• Neutral Pion Lifetime Measurements and the QCD Chiral Anomaly
• The Massive O(N) Non-linear Sigma Model at High Orders
• Leading Chiral Logarithms for Pion Form Factors to Arbitrary Number of Loops

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