Resonance saturation of the chiral couplings at next-to-leading order in1/NC

2009/03/31 by Ignasi Rosell, Pedro Ruiz-Femenía, Pedro Ruiz-Femenia +2
Mathematics · Physics and Astronomy · #Boson #Chiral perturbation theory #Combinatorics #Goldstone boson #High-Energy Particle Collisions Research #Mathematics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Renormalization #Resonance (particle physics) #Saturation (graph theory) #hep-ph

paper · pdf · doi:10.1103/physrevd.79.076009

published as Phys.Rev.D79:076009,2009 · 9 pages, 3 eps figures. Added references, version published in Phys. Rev. D

openalex publication_date 2009/04/29 · arxiv created 2009/05/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The precision obtainable in phenomenological applications of chiral perturbation theory is currently limited by our lack of knowledge on the low-energy constants (LECs). The assumption that the most important contributions to the LECs come from the dynamics of the low-lying resonances, often referred to as the resonance saturation hypothesis, has stimulated the use of large-N_C resonance Lagrangians in order to obtain explicit values for the LECs. We study the validity of the resonance saturation assumption at the next-to-leading order in the 1/N_C expansion within the framework of resonance chiral theory. We find that, by imposing QCD short-distance constraints, 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. As we argue, this is the counterpart formulation of the resonance saturation statement in the context of the resonance Lagrangian. Going beyond leading order in the 1/N_C counting allows us to keep full control of the renormalization scale dependence of the LEC estimates.

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