Resonance estimates of O(p^6) low-energy constants and QCD short-distance constraints

Abstract

Starting from the study of the low-energy and high-energy behaviours of the QCD three-point functions <VAP>, <VVP> and <AAP>, several O(p^6) low-energy constants of the chiral Lagrangian are evaluated within the framework of the lowest meson dominance (LMD) approximation to the large-N_C limit of QCD. In certain cases, values that differ substantially from estimates based on a resonance Lagrangian are obtained. It is pointed out that the differences arise through the fact that QCD short-distance constraints are in general not correctly taken into account in the approaches using resonance Lagrangians. We discuss the implications of our results for the O(p^6) counterterm contributions to the vector form factor of the pion and to the decay \pi -> e \nu_e \gamma, and for the pion-photon-photon transition form factor.

Comments: 39 pages, Latex. v2: some typos corrected, references updated, version to appear in Eur. Phys. J. C