An example of resonance saturation at one loop

Abstract

We argue that the large-Nc expansion of QCD can be used to treat a Lagrangian of resonances in a perturbative way. As an illustration of this we compute the L_10 coupling of the Chiral Lagrangian by integrating out resonance fields at one loop. Given a Lagrangian and a renormalization scheme, this is how in principle one can answer in a concrete and unambiguous manner questions such as at what scale resonance saturation takes place.

9 pages, 5 figures. Enlarged discussion, results unchanged. To be published in Phys. Rev. D

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• Chiral Perturbation Theory Beyond One Loop
• A Rational Approach to Resonance Saturation in large-Nc QCD
• Quantum Loops in the Resonance Chiral Theory: The Vector Form Factor
• Towards a determination of the chiral couplings at NLO in 1/N(C): L_8(mu) and C_38(mu)
• Large-$N_c$ naturalness in coupled-channel meson-meson scattering
• Partial waves and large $N_C$ resonance sum rules
• Oblique S and T Constraints on Electroweak Strongly-Coupled Models with a Light Higgs
• The vector form factor at the next-to-leading order in 1/N(C): chiral couplings L9(mu) and C88(mu) - C90(mu)
• Pi pi scattering lengths at O(p^6) revisited
• Long-distance dimension-eight operators in B_K
• One-loop Renormalization of Resonance Chiral Theory: Scalar and Pseudoscalar Resonances
• Spin-1 Correlators at Large NC: Matching OPE and Resonance Theory up to O(alpha_s)
• One-Loop Calculation of the Oblique S Parameter in Higgsless Electroweak Models
• Renormalization group equations in resonance chiral theory
• Vanishing chiral couplings in the large-N_C resonance theory
• 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
• ElectroWeak Precision Observables at One-Loop in Higgsless models
• Resonance effects in pion and kaon decay constants
• The origin of mass and the experiments on future high energy accelerators
• Quantum Corrections in the Resonance Chiral Theory
• Renormalizable Sectors in Resonance Chiral Theory: S -> pi pi Decay Amplitude
• One-loop Renormalization of Resonance Chiral Theory with Scalar and Pseudoscalar Resonances
• Present Status of Chiral Perturbation Theory
• Revisiting the vector form factor at next-to-leading order in 1/N(C)
• Current correlators and form factors in the resonance region