Vector meson dominance pion electromagnetic form factor with the sigma-model loop corrections
High Energy Physics - Phenomenology
2009-11-10 v1 Nuclear Theory
Abstract
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.
Cite
@article{arxiv.hep-ph/0407191,
title = {Vector meson dominance pion electromagnetic form factor with the sigma-model loop corrections},
author = {S. K. Dubinsky and A. Yu. Korchin and N. P. Merenkov},
journal= {arXiv preprint arXiv:hep-ph/0407191},
year = {2009}
}
Comments
12 pages, 3 figures, to be published in JETP