Three-pion scattering in Chiral Perturbation Theory

Abstract

We present the results on the relativistic six-pion scattering amplitude at low energy, calculated at O(p4) within the framework of the massive O(N) nonlinear sigma model extended to the next-to-leading order in the chiral counting. For N=3, this approach corresponds to the two(-quark)-flavor Chiral Perturbation Theory. We also present the expressions for the pion mass, pion decay constant and the four-pion amplitude in the case of N (meson) flavors at O(p4).

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