A Global Treatment Of VMD Physics Up To The phi: II. tau Decay and Hadronic Contributions To g-2

Abstract

Relying on the Hidden Local Symmetry (HLS) model equipped with a mechanism breaking the U(3)/SU(3)/SU(2) symmetries and generating a dynamical vector meson mixing, it has been shown that a global fit successfully describes the cross sections for the e+ e- -> pi+ pi-, e+ e- -> (pi0/eta) gamma and e+ e- -> pi0 pi+ pi- annihilation channels. One extends this global fit in order to include also the dipion spectra from the tau decay, taking into account all reported information on their statistical and systematic errors. A model accounting for lineshape distortions of the rho+- spectrum relative to rho0 is also examined when analyzing the tau data behavior within the global fit framework. One shows that a successful account for e+ e- annihilation data and tau spectra can be simultaneously reached. Then, issues related with non--perturbative hadronic contributions to the muon g-2 are examined in details. It is shown that all e+ e- data considered together allow for improved and motivated estimates for the a_mu(pi+ pi-), the pi+ pi- loop contribution to the muon g-2; for instance, integrated between 0.630 and 0.958 GeV, we find a_mu(pi+ pi-)= 359.62 +- 1.62 (in units of 10^{-10}), a 40% improvement of the current uncertainty. The effects of the various tau samples in the context of a global fit procedure leads to conclude that different lineshape distortions are revealed by the ALEPH, BELLE and CLEO data samples. Relying on global fits to the data quoted above, one also provides motivated estimates of the pi+ pi-, pi0 gamma, eta gamma and pi0 pi+ pi- contributions to a_mu up to 1 GeV with the smallest possible uncertainties. These estimates are based on various global fit configurations, each yielding a good probability.

43 pages, scope enlarged, model extended, same conclusions. Accepted for publication in EPJ-C

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• Reanalysis of the $e^{+}{e}^{-}\to \eta \gamma$ reaction cross section
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• Single meson contributions to the muon's anomalous magnetic moment
• An Update of the HLS Estimate of the Muon g-2
• Upgraded Breaking Of The HLS Model: A Full Solution to the tau-e+e- and phi Decay Issues And Its Consequences On g-2 VMD Estimates
• Photonic SUSY Two-Loop Corrections to the Muon Magnetic Moment
• Muon g-2 estimates : Can one trust Effective Lagrangians and global fits ?
• BHLS${}_2$, a New Breaking of the HLS Model and its Phenomenology
• The muon g-2 discrepancy: new physics or a relatively light Higgs?
• BHLS${}_2$ Upgrade : $\tau$ spectra, muon HVP and the [${\pi }^0,\eta ,{\eta }^{\prime }$] System
• The omega rho pi coupling in the VMD model revisited
• Can VMD improve the estimate of the muon g-2 ?
• Hadronic and radiative decays of the tau lepton
• Measurement of the double Dalitz decay $\eta \to e^{+}{e}^{-}{e}^{+}{e}^{-}$