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

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.

7 pages

References in corpus (3)

• Towards a consistent estimate of the chiral low-energy constants
• An improved study of the kappa resonance and the non-exotic $s$ wave $\pi K$ scatterings up to $\sqrt{s}=2.1$GeV of LASS data
• Integrating out strange quarks in ChPT

Cited by in corpus (6)

• Pi pi scattering lengths at O(p^6) revisited
• Revisiting $O(N)$ $\sigma$ model at unphysical pion masses and high temperatures
• On the pole trajectory of the subthreshold negative parity nucleon with varying pion masses
• Review on recent progress in the study of the $N^{\ast }(920)$ subthreshold singularity and the $\sigma /f_0(500)$ meson
• Bayesian method for fitting the low-energy constants in chiral perturbation theory
• Pi pi scattering lengths at O(p^6): resonance estimates