The pion form factor at timelike momentum transfers in a dispersion approach

Details The pion form factor at timelike momentum transfers in a dispersion approach The pion form factor at timelike momentum transfers in a dispersion approach

2002-09-13

arxiv.org/abs/hep-ph/0209151v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

revtex, 12 pages, references added

Scientific paper

We consider a model with $\rho\pi\pi$, $\rho KK$, and gauge-invariant $\rho\gamma$ couplings and obtain the pion form factor $F_\pi$ at timelike momentum transfers by resummation of pion and kaon loops. We use a dispersion representation for the loop diagrams and analyse ambiguities related to subtraction constants. The resulting representation for $F_\pi$ is shown to have the form of the conventional vector meson dominance formula with one important distinction - the effective $\rho$-meson decay constant $f^{\rm eff}_\rho$ turns out to depend on the momentum transfer. For the electromagnetic pion form factor we include in addition the $\rho-\omega$ mixing effects. We apply the representations obtained to the analysis of the data on the pion form factors from $e^+e^-$ annihilation and $\tau$ decay and extract the $\rho^-$, $\rho^0$ and $\omega$ masses and coupling constants.

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