Vanishing chiral couplings in the large-N_C resonance theory

Abstract

The construction of a resonance theory involving hadrons requires implementing the information from higher scales into the couplings of the effective Lagrangian. We consider the large-Nc chiral resonance theory incorporating scalars and pseudoscalars, and we find that, by imposing LO short-distance constraints on form factors of QCD currents constructed within this theory, the chiral low-energy constants satisfy resonance saturation at NLO in the 1/Nc expansion.

arXiv comment5 pages, 2 figures. Version published in Physical Review D. Some equations to facilitate the discussion have been added

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• The vector form factor at the next-to-leading order in 1/N(C): chiral couplings L9(mu) and C88(mu) - C90(mu)
• Chiral effective theory with a light scalar and lattice QCD
• High energy constraints in the octet SS-PP correlator and resonance saturation at NLO in 1/Nc
• Resonance saturation of the chiral couplings at NLO in 1/Nc
• Hadronic matrix elements for TAUOLA: 3 pi and KKpi channels
• Hadronic and radiative decays of the tau lepton
• Revisiting the vector form factor at next-to-leading order in 1/N(C)
• Determining chiral couplings at NLO
• Scalar and pseudoscalar correlators in Resonance Chiral Theory