One-loop Renormalization of Resonance Chiral Theory: Scalar and Pseudoscalar Resonances

Abstract

We consider the Resonance Chiral Theory with one multiplet of scalar and pseudoscalar resonances, up to bilinear couplings in the resonance fields, and evaluate its beta-function at one-loop with the use of the background field method. Thus we also provide the full set of operators that renormalize the theory at one loop and render it finite.

arXiv comment37 pages, 2 figures

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• A Rational Approach to Resonance Saturation in large-Nc QCD
• Meson dominance of hadron form factors and large-Nc phenomenology
• New $\tau$-based evaluation of the hadronic contribution to the vacuum polarization piece of the muon anomalous magnetic moment
• Large-Nc Properties of the rho and f0(600) Mesons from Unitary Resonance Chiral Dynamics
• 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)
• One-loop renormalization of the electroweak chiral Lagrangian with a light Higgs
• Symmetry and geometry in generalized Higgs effective field theory -- Finiteness of oblique corrections v.s. perturbative unitarity
• One-Loop Calculation of the Oblique S Parameter in Higgsless Electroweak Models
• Chiral effective theory with a light scalar and lattice QCD
• Renormalization and additional degrees of freedom within the chiral effective theory for spin-1 resonances
• Vanishing chiral couplings in the large-N_C resonance theory
• Resonance saturation of the chiral couplings at NLO in 1/Nc
• High energy constraints in the octet SS-PP correlator and resonance saturation at NLO in 1/Nc
• One-loop renormalization of the chiral Lagrangian for spinless matter fields in the SU(N) fundamental representation
• Resonance effects in pion and kaon decay constants
• Renormalizable Sectors in Resonance Chiral Theory: S -> pi pi Decay Amplitude
• On the structure of two-point Green-functions at next-to-leading order in 1/Nc
• Order parameter of the chiral symmetry breaking Green Functions at one loop
• Revisiting the vector form factor at next-to-leading order in 1/N(C)
• Hadronic and radiative decays of the tau lepton
• Current correlators and form factors in the resonance region
• Quantum loops in the Resonance Chiral Theory: improving the vector form factor