Spin-1 resonance contributions to the weak Chiral Lagrangian: the vector field formulation

Abstract

We use the Vector formulation to evaluate vector and axial-vector exchange contributions to the O(p^4) weak Chiral Lagrangian. We recover in this framework the bulk of the contributions found previously by Ecker et al. in the antisymmetric formulation of vectors and axial-vectors, but new interesting features arise: i) most of our results are independent of Factorization and ii) novel contributions to non-leptonic kaon decays, proper of this formulation and phenomenologically interesting, are found. The phenomenological implications for K -> pi pi (pi) and radiative (anomalous and non-anomalous) non-leptonic kaon decays are thus investigated and found particularly relevant.