The pion form factor within the hidden local symmetry model

2003/01/10 by M. Benayoun, P. David, L. DelBuono +3
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.1140/epjc/s2003-01234-1

published as Eur.Phys.J.C29:397-411,2003 · 26 pages, 4 eps figs

arxiv created 2003/01/10 · openalex publication_date 2003/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We analyze a pion form factor formulation which fulfills the Analyticity requirement within the Hidden Local Symmetry (HLS) Model. We show that it implies an s--dependent dressing of the ρ-γ VMD coupling and an account of several coupled channels. The corresponding function F_π(s) provides nice fits of the pion form factor data from s=-0.25 to s=1 GeV². It is shown that the coupling to K K has little effects, while \omg π⁰ improves significantly the fit quality below the ϕ mass. All parameters, except for the subtraction polynomial coefficients are fixed from the rest of the HLS phenomenology. The fits show consistency with the expected behaviour of F_π(s) at s=0 up to \cal O (s²) and with the phase shift data on δ₁¹(s) from threshold to somewhat above the ϕ mass. The \omg sector is also examined in relation with recent data from CMD--2.

Citations

• Radiative decays, nonet symmetry, and SU(3) breaking
• When is it possible to use perturbation technique in field theory ?
• The pion form factor at timelike momentum transfers in a dispersion approach
• Isospin symmetry breaking within the HLS Model: A full ( ρ, ω, φ ) mixing scheme
• Review of particle properties
• Review of Particle Physics