Three-pion scattering in Chiral Perturbation Theory
Pre-published on:
February 06, 2024
Published on:
March 07, 2024
Abstract
We present the results on the relativistic six-pion scattering amplitude at low energy, calculated at $\mathcal{O}(p^4)$ 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 $\mathcal{O}(p^4)$.
DOI: https://doi.org/10.22323/1.413.0041
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