Resonance saturation of the chiral couplings at NLO in 1/Nc

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-Nc 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/Nc expansion within the framework of Resonance Chiral Theory (RChT). 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 RChT. 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/Nc counting allow us to keep full control of the renormalization scale dependence of the LEC estimates.

arXiv comment9 pages, 3 eps figures. Added references, version published in Phys. Rev. D

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• Resonance saturation in the odd-intrinsic parity sector of low-energy QCD
• The vector form factor at the next-to-leading order in 1/N(C): chiral couplings L9(mu) and C88(mu) - C90(mu)
• Tetraquarks in large-$N_c$ QCD
• ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\nu }_{\tau }\gamma$ decays as backgrounds in the search for second class currents
• Renormalization and additional degrees of freedom within the chiral effective theory for spin-1 resonances
• High energy constraints in the octet SS-PP correlator and resonance saturation at NLO in 1/Nc
• Resonance effects in pion and kaon decay constants
• OPE of Green Functions of Chiral Currents
• On the three-point order parameters of chiral symmetry breaking
• Revisiting the vector form factor at next-to-leading order in 1/N(C)
• Hadronic and radiative decays of the tau lepton
• Renormalization group equations in resonance chiral theory: the pi pi vector form-factor
• High order chiral Lagrangians with vector mesons in different approaches
• Scalar and pseudoscalar correlators in Resonance Chiral Theory