Poles of light resonances from unitarized Chiral perturbation Theory and their large Nc behavior

Abstract

We have recently completed the one loop calculation of meson-meson scattering within Chiral Perturbation Theory. Once unitarized, these amplitudes provide simultaneously a remarkable description of the resonance region up to 1.2 GeV as well as the low energy region, respecting the chiral symmetry expansion. The position of the poles in these amplitudes is related to the mass and width of the associated resonances that are generated without being explicitly included in the Lagrangian. The spectroscopic nature of these states can then be deduced by studying the behavior of these poles, through the Nc dependence of the Chiral Perturbation Theory parameters, which can be obtained from QCD in the large Nc limit.