$O(p^6)$ extension of the large--$N_C$ partial wave dispersion relations

TL;DR

This paper extends large--$N_C$ partial wave dispersion relations to $O(p^6)$, providing predictions for low-energy chiral couplings based on meson properties, advancing understanding of $\u03c0\u03c0$ scattering.

Contribution

It introduces an $O(p^6)$ extension of the dispersion relations using large--$N_C$ techniques, linking chiral couplings to meson masses and decay widths.

Findings

Predictions for $O(p^6)$ low-energy chiral couplings.

Relations between meson properties and scattering amplitudes.

Enhanced theoretical framework for $\u03c0\u03c0$ scattering analysis.

Abstract

Continuing our previous work(JHEP 0706:030,2007), large--$N_C$ techniques and partial wave dispersion relations are used to discuss $\pi\pi$ scattering amplitudes. We get a set of predictions for $O(p^6)$ low-energy chiral perturbation theory couplings. They are provided in terms of the masses and decay widths of scalar and vector mesons.