Renormalization of Chiral Perturbation Theory to Order p6

1999/07/13 by J. Bijnens, Johan Bijnens, G. Colangelo +3 · 8 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Chiral perturbation theory #Functional renormalization group #Mathematical physics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Renormalization #Renormalization group #hep-ph

paper · pdf · doi:10.1006/aphy.1999.5982

published as Annals Phys. 280 (2000) 100-139 · 43 pages, LaTeX2e, 1 figure

arxiv created 1999/07/13 · openalex publication_date 2000/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The renormalization of chiral perturbation theory is carried out to next-to-next-to-leading order in the meson sector. We calculate the divergent part of the generating functional of Green functions of quark currents to O(p⁶) for chiral SU(n), involving one- and two-loop diagrams. The renormalization group equations for the renormalized low-energy constants of O(p⁶) are derived. We compare our results with previous two-loop calculations in chiral perturbation theory.

Citations

• Chiral Effective Theories
• Two-loop analysis of axial vector current propagators in chiral perturbation theory
• Chiral perturbation theory to one loop
• Chiral perturbation theory: Expansions in the mass of the strange quark
• Phenomenological Lagrangians

Cited by

• form-factors and – scattering
• New strategy for the lattice evaluation of the leading order hadronic contribution to(g−2)μ
• New method for fitting the low-energy constants in chiral perturbation theory
• Towards a consistent estimate of the chiral low-energy constants
• 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
• Chiral perturbation theory analysis of the quark condensate in a magnetic field