Dispersive representation of the pion vector form factor in τ→ππντ\tau\to\pi\pi\nu_\tau decays

We propose a dispersive representation of the charged pion vector form factor that is consistent with chiral symmetry and fulfills the constraints imposed by analyticity and unitarity. Unknown parameters are fitted to the very precise data on $\tau^-\to\pi^-\pi^0\nu_\tau$ decays obtained by Belle, leading to a good description of the corresponding spectral function up to a $\pi\pi$ squared invariant mass $s\simeq 1.5$ GeV$^2$. We discuss the effect of isospin corrections, and obtain the values of low energy observables. For larger values of $s$, this representation is complemented with a phenomenological description to allow its implementation in the new TAUOLA hadronic currents.Comment: 22 pages, 4 figures. Determination of rho(770) pole parameters substantially improved using a new method, based on rational approximants. Other results unchanged. Version to be published in EPJ

Flavor changing neutral currents in SU(3)⊗U(1)SU(3)\otimes U(1) models

We consider flavor changing neutral current effects coming from the $Z'$ exchange in 3-3-1 models. We show that the mass of this extra neutral vector boson may be less than 2 TeV and discuss the problem of quark family discrimination.Comment: REVTEX 10 pages, IFT-P.026/93, IC/93/174 (revised and extended version

The hadronic off-shell width of meson resonances

Within the resonance chiral effective theory we study the dressed propagators of the spin-1 fields, as arise from a Dyson-Schwinger resummation perturbatively constructed from loop diagrams with absorptive contributions in the s-channel. We apply the procedure to the vector pion form factor and the elastic pion-pion scattering to obtain the off-shell width of the rho_0 meson. We adopt a definition of the off-shell width of spin-1 meson resonances that satisfies the requirements of analyticity, unitarity, chiral symmetry and asymptotic behaviour ruled by QCD. To fulfil these constraints the resummation procedure cannot consist only of self-energy diagrams. Our width definition is shown to be independent of the formulation used to describe the spin-1 meson resonances.Comment: 1+12 pages, 4 figures. Minor changes in text. Conclusions unchanged. Version accepted for publication in Phys. Rev.