Vector form factor of the pion : A model-independent approach

Abstract

We study a model-independent parameterization of the vector pion form factor that arises from the constraints of analyticity and unitarity. Our description should be suitable up to s^(1/2) ~ 1.2 GeV and allows a model-independent determination of the mass of the rho(770) resonance. We analyse the experimental data on tau^- -> pion^- pion^0 nu_tau and e^+ e^- -> pion^+ pion^- in this framework, and its consequences on the low-energy observables worked out by chiral perturbation theory. An evaluation of the two pion contribution to the anomalous magnetic moment of the muon, a_{mu}, and to the fine structure constant, alpha(M_Z^2), is also performed.

5 pages, 2 figures. To appear in the proceedings of the High-Energy Physics International Conference on Quantum Chromodynamics QCD02, Montpellier (France), 2-9 July (2002)

References in corpus (2)

• Measurement of e+e- -> pi+pi- cross section with CMD-2 around rho-meson
• Radiative tau decay and the magnetic moment of the muon

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• Hadronic matrix elements for TAUOLA: 3 pi and KKpi channels
• Lepton Flavour Violation in Hadron Decays of the Tau Lepton within the Littlest Higgs Model with T-parity