Eur. Phys. J. C (2010) 65: 211-245
https://doi.org/10.1140/epjc/s10052-009-1197-6

Regular Article - Theoretical Physics

A global treatment of VMD physics up to the φ; I: e ⁺ e ⁻ annihilations, anomalies and vector meson partial widths

LPNHE Paris VI/VII, IN2P3/CNRS, 75252, Paris, France

^* e-mail: benayoun@in2p3.fr

Received: 24 July 2009
Revised: 30 September 2009
Published online: 18 November 2009

Abstract

The HLS Model, equipped with a mechanism providing the breaking of U(3)/SU(3) symmetry and an isospin symmetry breaking leading naturally to vector meson mixing, has been recently shown to successfully account for the e ⁺ e ⁻→π ⁺ π ⁻ cross section and for the dipion spectrum in τ decay. The present study shows that the full anomalous sector of the HLS model can be considered and is validated by the experimental data. Indeed, this extended model provides a successful simultaneous fit to the e ⁺ e ⁻→π ⁺ π ⁻ data together with the available data on the e ⁺ e ⁻→π ⁰ γ, e ⁺ e ⁻→η γ and e ⁺ e ⁻→π ⁰ π ⁺ π ⁻ cross sections. It is shown that the fit of these data sets also predicts an accurate description of the η/η ^′→π ⁺ π ⁻ γ decays fully consistent with the reported information on their branching fractions and spectra. Finally, one also derives from our global fits products of widths of the form Γ(V→f ₁)Γ(V→e ⁺ e ⁻) and ratios of the form Γ(V→f ₁)/Γ(V→f ₂) describing decays of vector mesons to several non-leptonic final states.