English

Three-pion scattering in Chiral Perturbation Theory

High Energy Physics - Phenomenology 2022-04-04 v1

Abstract

We present the results on the relativistic six-pion scattering amplitude at low energy, calculated at O(p4)\mathcal{O}(p^4) within the framework of the massive O(N)\text{O}(N) nonlinear sigma model extended to the next-to-leading order in the chiral counting. For N=3N=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 NN (meson) flavors at O(p4)\mathcal{O}(p^4).

Keywords

Cite

@article{arxiv.2204.00375,
  title  = {Three-pion scattering in Chiral Perturbation Theory},
  author = {Tomáš Husek},
  journal= {arXiv preprint arXiv:2204.00375},
  year   = {2022}
}

Comments

5 pages, 3 figures, 1 table; contribution to the proceedings of the following conferences: 19th International Conference on Hadron Spectroscopy and Structure in memoriam Simon Eidelman (HADRON2021) and 10th International Workshop on Chiral Dynamics (CD2021)

R2 v1 2026-06-24T10:34:35.058Z