A Global Treatment Of VMD Physics Up To The $\varphi$: I. $e^{+}{e}^{-}$ Annihilations, Anomalies And Vector Meson Partial Widths

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 $e^+ e^- \ra π^+π^-$ cross section and for the dipion spectrum in $\tau$ 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 $e^+ e^- \ra π^+π^-$ data together with the available data on $e^+ e^- \ra π^0γ$, $e^+ e^- \ra ηγ$ and $e^+ e^- \ra π^0 π^+π^-$ cross sections. It is shown that the fit of these data sets also predicts an accurate description of the $η/η^\prime \ra π^+ π^- γ$ 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 \ra f_1)Γ(V \ra e^+ e^-) $ and ratios of the form $Γ(V \ra f_1)/Γ(V \ra f_2)$ describing decays of vector mesons to several non--leptonic final states.

58 pages, 10 figures Corrected a few misprints. Footnote 10 changed

References in corpus (6)

• Update of the e^+e^-\toπ^+π^- cross section measured by SND detector in the energy region 400<\sqrt{s}<1000 MeV
• Measurement of the e+e- -> pi+pi- cross section with the CMD-2 detector in the 370-520 MeV c.m. energy range
• Measurement of the pseudoscalar mixing angle and ${\eta }^{\prime }$ gluonium content with KLOE detector
• The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical (rho0, omega, phi) Mixing Approach
• Reanalysis of the $e^{+}{e}^{-}\to \eta \gamma$ reaction cross section
• Isospin breaking in the yield of heavy meson pairs in e+e- annihilation near threshold

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