Vector meson dominance pion electromagnetic form factor with the sigma-model loop corrections

Details Vector meson dominance pion electromagnetic form factor with the sigma-model loop corrections Vector meson dominance pion electromagnetic form factor with the sigma-model loop corrections

2004-07-16

arxiv.org/abs/hep-ph/0407191v1

J.Exp.Theor.Phys. 99 (2004) 225-233; Zh.Eksp.Teor.Fiz. 126 (2004) 259-267

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 3 figures, to be published in JETP

Scientific paper

10.1134/1.1800179

A model is developed for electromagnetic form factor of the pion. One-loop corrections are included in the linear sigma-model. The rho-meson contribution is added in an extended VMD model. The form factor, calculated without fitting parameters, is in a good agreement with experiment for space-like and time-like photon momenta. Loop corrections to the two-pion hadronic contribution a^{(had, \pi)}_\mu to the muon anomalous magnetic moment are calculated. The optimal value of the sigma-meson mass appears to be close to the rho-meson mass.

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