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.

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

References in corpus (9)

• A relativistic, model-independent, three-particle quantization condition
• Mesonic low-energy constants
• Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data
• A Periodic Table of Effective Field Theories
• Three-body Unitarity in the Finite Volume
• Three-particle quantization condition in a finite volume: 1. The role of the three-particle force
• Equivalence of relativistic three-particle quantization conditions
• The Massive O(N) Non-linear Sigma Model at High Orders
• Higher-order tree-level amplitudes in the nonlinear sigma model