Three-point Green Functions in the resonance region : LEC's

Abstract

Using the 1/NC expansion scheme and truncating the hadronic spectrum to the lowest-lying multiplets of resonances we develop a procedure to implement QCD information on the non-perturbative regime populated by resonances through the use of three-point Green Functions of QCD currents. The process implies to enforce on these functions the constraints provided by their asymptotic behaviour ruled by QCD using their OPE or associated form factors. As a result we are able to determine several couplings of the O(p 6 ) Chiral Perturbation Theory Lagrangian and, in consequence, to address phenomenological issues such as the SU (3) breaking in K ℓ3 decays.