The7/11rule: An estimate ofmρ/fπ

1999/08/31 by M. Golterman, Maarten Golterman, S. Peris +1 · 48 citations
Mathematics · Physics and Astronomy · #Ansatz #Black Holes and Theoretical Physics #Geometry #Mathematical physics #Mathematics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Scalar (mathematics) #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.61.034018

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 61(3) (American Physical Society) · 7 pages, 1 figure. Numerical error in scalar sector corrected; main results unchanged

arxiv created 1999/09/21 · openalex publication_date 2000/01/11 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We derive an estimate for the ratio of the rho mass and the pion decay constant from an analysis of vector and axial-vector two-point functions using large-N_c, lowest-meson dominance, and operator product expansion, in the chiral limit. We discuss the extension of this analysis to the scalar and pseudoscalar sector. Furthermore, this leads to a successful parameter-free determination of the L_i couplings of the chiral Lagrangian if an improved Nambu--Jona-Lasinio ansatz for Green functions is assumed at low energies.

Citations

• 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
• The strange quark mass from QCD sum rules
• Chiral perturbation theory: Expansions in the mass of the strange quark
• Phenomenological Lagrangians

Cited by

• High energy constraints in the octetSS−PPcorrelator and resonance saturation at next-to-leading order in1/NC
• The scalar and pseudoscalar sector in a five-dimensional approach to chiral symmetry breaking
• Quantum Loops in the Resonance Chiral Theory: The Vector Form-Factor
• form-factors and – scattering
• Towards a consistent estimate of the chiral low-energy constants