Resonance saturations of the chiral couplings at NLO

Abstract

A proper estimation of the chiral low-energy constants of Chiral Perturbation Theory is a very important task. To this end resonance chiral Lagrangians have been used fruitfully. We have studied the determination of chiral couplings at next-to-leading (NLO) order in the 1=NC expansion, keeping full control of the renormalization scale dependence. We find that, by imposing shortdistance constraints coming from QCD, resonance saturation at NLO in 1=NC is satisfied. In other words, the chiral couplings can be written in terms of the resonance masses and couplings and do not depend explicitly on the coefficients of the chiral operators in the Goldstone boson sector of Resonance Chiral Theory.