Six-pion amplitude

Abstract

Within the framework of the massive O($N$) nonlinear sigma model extended to the next-to-leading order in the chiral counting (for $N=3$ corresponding to the two(-quark)-flavor Chiral Perturbation Theory), we calculate the relativistic six-pion scattering amplitude at low energy up to and including terms $\mathcal{O}(p^4)$. Results for the pion mass, decay constant and the four-pion amplitude in the case of $N$ (meson) flavors at $\mathcal{O}(p^4)$ are also presented.

arXiv comment10 pages, 5 figures, 1 table; v2: accepted by PRD, minor text improvements, references added

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Cited by in corpus (10)

• Implementing the three-particle quantization condition for ${\pi }^{+}{\pi }^{+}{K}^{+}$ and related systems
• Interactions of $\pi K$, $\pi \pi K$ and $KK\pi$ systems at maximal isospin from lattice QCD
• The isospin-3 three-particle $K$-matrix at NLO in ChPT
• The ChPT: top-down and bottom-up
• NNLO Positivity Bounds on Chiral Perturbation Theory for a General Number of Flavours
• Hilbert series and higher-order Lagrangians for the $O(N)$ model
• The electromagnetic Sigma-to-Lambda transition form factors with coupled-channel effects in the space-like region
• The three-pion $K$-matrix at NLO in ChPT
• Six-meson amplitude in QCD-like theories
• Three-pion scattering: From the chiral Lagrangian to the lattice