Resonance sum rules from large N[sub C] and partial wave dispersive analysis

Abstract

Combining large NC techniques and partial wave dispersion theory to analyze the ππ scattering, without relying on any explicit resonance lagrangian, some interesting results are derived: (a) a general KSRF relation including the scalar meson contribution; (b) a new relation between resonance couplings, with which we have made an intensive analysis in several specific models; (c) low energy constants in chiral perturbation theory related with ππ scattering in terms of the mass and decay width of resonances.