Quantum Loops in the Resonance Chiral Theory: The Vector Form-Factor

2004/07/21 by I. Rosell, I Rosell, J. J. Sanz-Cillero +3 · 2 citations
Physics and Astronomy · #Chiral anomaly #Chiral perturbation theory #High-Energy Particle Collisions Research #Nuclear physics research studies #Perturbation theory (quantum mechanics) #Propagator #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum field theory #Renormalization #Resonance (particle physics) #hep-ph

paper · pdf · doi:10.1088/1126-6708/2004/08/042

published as JHEP0408:042,2004 · 27+1 pages, 9 figures

arxiv created 2004/07/21 · openalex publication_date 2004/08/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We present a calculation of the Vector Form Factor at the next-to-leading order in the 1/N_C expansion, within the framework of Resonance Chiral Theory. The calculation is performed in the chiral limit, and with two dynamical quark flavours. The ultraviolet behaviour of quantum loops involving virtual resonance propagators is analyzed, together with the kind of counterterms needed in the renormalization procedure. Using the lowest-order equations of motion, we show that only a few combinations of local couplings appear in the final result. The low-energy limit of our calculation reproduces the standard Chiral Perturbation Theory formula, allowing us to determine the resonance contribution to the chiral low-energy couplings, at the next-to-leading order in 1/N_C, keeping a full control of their renormalization scale dependence.

Citations

• The Standard Model prediction for ε′/ε
• τ→πππντdecays in the resonance effective theory
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• Odd-intrinsic-parity processes within the resonance effective theory of QCD
• Is theρMeson a Dynamical Gauge Boson of Hidden Local Symmetry?
• Chiral perturbation theory to one loop
• The electroweak π+−π0 mass difference and weak matrix elements in the 1/Nc expansion
• N/Ddescription of two meson amplitudes and chiral symmetry
• Chiral perturbation theory
• Vector meson masses in chiral perturbation theory
• Quenched and partially quenched chiral perturbation theory for vector and tensor mesons
• Chiral perturbation theory: Expansions in the mass of the strange quark
• Hadronic off-shell width of meson resonances
• A planar diagram theory for strong interactions
• The7/11rule: An estimate ofmρ/fπ
• QCD Short-distance constraints and hadronic approximations
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II
• Phenomenological Lagrangians

Cited by

• Hadronic tau decays
• On the structure of two-point Green-functions at next-to-leading order in