Vector Meson Dominance as a first step in a systematic approximation: the pion vector form factor

Abstract

Pade Approximants can be used to go beyond Vector Meson Dominance in a systematic approximation. We illustrate this fact with the case of the pion vector form factor and extract values for the first two coefficients of its Taylor expansion. Pade Approximants are shown to be a useful and simple tool for incorporating high-energy information, allowing an improved determination of these Taylor coefficients.

13 pages, 7 figures

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Cited by in corpus (38)

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• Implications of the recent high statistics determination of the pion electromagnetic form factor in the timelike region
• Spacelike pion form factor from analytic continuation and the onset of perturbative QCD
• Parametrization-free determination of the shape parameters for the pion electromagnetic form factor
• Pion transverse charge density and the edge of hadrons
• Probing the singularities of the Landau-gauge gluon and ghost propagators with rational approximants
• Two body final states production in electron-positron annihilation and their contributions to $(g-2{)}_{\mu }$
• Model independent bounds on the modulus of the pion form factor on the unitarity cut below the $\omega \pi$ threshold
• Study of $B\to \pi \ell {\nu }_{\ell }$ and $B^{+}\to {\eta }^{(\prime )}{\ell }^{+}{\nu }_{\ell }$ decays and determination of $|V_{ub}|$
• Constraining the low energy Pion electromagnetic form factor with space-like and phase of time-like data
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• Hadronic and radiative decays of the tau lepton
• Pseudoscalar transition form factors: $(g-2)$ of the muon, pseudoscalar decays into lepton pairs, and the $\eta -{\eta }^{\prime }$ mixing
• Pseudoscalar Transition Form Factors from Rational Approximants
• Bounds on the spacelike pion electromagnetic form factor from analyticity and unitarity
• A rational approach to $\eta$ and ${\eta }^{\prime }$ transition form factors