Resonance estimates of O(p(6)) low-energy constants and QCD short-distanceconstraints

Citation
M. Knecht et A. Nyffeler, Resonance estimates of O(p(6)) low-energy constants and QCD short-distanceconstraints, EUR PHY J C, 21(4), 2001, pp. 659-678
Citations number
105
Categorie Soggetti
Physics
Journal title
EUROPEAN PHYSICAL JOURNAL C
ISSN journal
14346044 → ACNP
Volume
21
Issue
4
Year of publication
2001
Pages
659 - 678
Database
ISI
SICI code
1434-6044(200107)21:4<659:REOOLC>2.0.ZU;2-A
Abstract
Starting from the study of the low-energy and high-energy behaviors of the QCD three-point functions <VAP>, <VVP> and <AAP>, several O(p(6)) low-energ y constants of the chiral Lagrangian are evaluated within the framework of the lowest meson dominance (LMD) approximation to the large-NC limit of QCD . In certain cases, values that differ substantially from estimates based o n a resonance Lagrangian are obtained. It is pointed out that the differenc es arise through the fact that QCD short-distance constraints are in genera l not correctly taken into account in the approaches using resonance Lagran gians. We discuss the implications of our results for the O(p(6)) counterte rm contributions to the vector form factor of the pion and to the decay pi --> ev(e)gamma, and for the pion-photon-photon transition form factor.