Towards a consistent estimate of the chiral low-energy constants

2006/03/31 by V. Cirigliano, Vincenzo Cirigliano, G. Ecker +9 · 209 citations
Physics and Astronomy · #Energy (signal processing) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Theoretical physics #hep-ph

paper · pdf · doi:10.1016/j.nuclphysb.2006.07.010

published in Nuclear Physics B 753(1-2), 139-177 (Elsevier BV) · 48 pages, 3 figures. Enlarged explanation on the role of Proca fields. Conclusions and results unchanged. Version accepted for publication in Nuclear Physics B

arxiv created 2006/07/17 · openalex publication_date 2006/08/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Guided by the large-Nc limit of QCD, we construct the most general chiral resonance Lagrangian that can generate chiral low-energy constants up to O(p⁶). By integrating out the resonance fields, the low-energy constants are parametrized in terms of resonance masses and couplings. Information on those couplings and on the low-energy constants can be extracted by analysing QCD Green functions of currents both for large and small momenta. The chiral resonance theory generates Green functions that interpolate between QCD and chiral perturbation theory. As specific examples we consider the VAP and SPP Green functions.

Citations

• τ→πππντdecays in the resonance effective theory
• Renormalization of Chiral Perturbation Theory to Order p6
• Odd-intrinsic-parity processes within the resonance effective theory of QCD
• Field theories with « Superconductor » solutions
• Chiral perturbation theory to one loop
• Low-energy photon–photon collisions to two loops revisited
• Quantum Loops in the Resonance Chiral Theory: The Vector Form-Factor
• Four-point correlator constraints on electromagnetic chiral parameters and resonance effective Lagrangians
• Chiral effective lagrangian in the large-N limit: the nonet case
• Chiral perturbation theory: Expansions in the mass of the strange quark
• Decay of Pseudoscalars into Lepton Pairs and Large-NcQCD
• A planar diagram theory for strong interactions
• The7/11rule: An estimate ofmρ/fπ
• Chiral Symmetry Aspects of the Scalars
• QCD Short-distance constraints and hadronic approximations
• Structure of Phenomenological Lagrangians. I
• η−η′ mixing from U(3)L⊗U(3)R chiral perturbation theory
• Analytic approaches to kaon physics
• Structure of Phenomenological Lagrangians. II
• Phenomenological Lagrangians

Cited by

• The expansion by regions in πKscattering
• Resonance saturation of the chiral couplings at next-to-leading order in1/NC
• O(p6) extension of the large-NC partial wave dispersion relations