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
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Revised: 30 September 2009
Published online: 18 November 2009
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.
© Springer-Verlag , 2010