English

Pion form factor in the Kroll-Lee-Zumino model

High Energy Physics - Phenomenology 2008-11-26 v3 Nuclear Theory

Abstract

The renormalizable Abelian quantum field theory model of Kroll, Lee, and Zumino is used to compute the one-loop vertex corrections to the tree-level, Vector Meson Dominance (VMD) pion form factor. These corrections, together with the known one-loop vacuum polarization contribution, lead to a substantial improvement over VMD. The resulting pion form factor in the space-like region is in excellent agreement with data in the whole range of accessible momentum transfers. The time-like form factor, known to reproduce the Gounaris-Sakurai formula at and near the rho-meson peak, is unaffected by the vertex correction at order O\cal{O}(g\rpp2)(g_\rpp^2).

Keywords

Cite

@article{arxiv.0705.1902,
  title  = {Pion form factor in the Kroll-Lee-Zumino model},
  author = {Cesareo A. Dominguez and Juan I. Jottar and Marcelo Loewe and Bernard Willers},
  journal= {arXiv preprint arXiv:0705.1902},
  year   = {2008}
}
R2 v1 2026-06-21T08:27:58.608Z