Pion form factor in the Kroll-Lee-Zumino model

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 $\mathcal{O}$$(g_\rpp^2)$.

Revised version corrects a misprint in Eq.(1)

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• The processes $e^{+}{e}^{-}\to \pi \pi ({\pi }^{\prime })$ in the extended NJL model
• Spectroscopic parameters and electromagnetic form factor of kaon in vacuum and a dense medium
• Electromagnetic interactions of mesons induced by the axial-vector -- pseudoscalar mixings
• Scalar radius of the pion in the Kroll-Lee-Zumino renormalizable theory
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• Pseudoscalar current and covariance with the light-front approach
• Electromagnetic and Scalar Pion form factor in the Kroll-Lee-Zumino model