Pion form factor in the Kroll-Lee-Zumino model

2007/05/31 by C. A. Domínguez, Cesareo A. Dominguez, Juan I. Jottar +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.76.095002

published as Phys.Rev.D76:095002,2007 · Revised version corrects a misprint in Eq.(1)

arxiv created 2007/08/14 · openalex publication_date 2007/11/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 pion form factor. These corrections, together with the known one-loop vacuum polarization contribution, lead to a substantial improvement over vector meson dominance. The resulting pion form factor in the spacelike region is in excellent agreement with data in the whole range of accessible momentum transfers. The timelike 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(g_\ensuremathρ\ensuremathπ\ensuremathπ²).

Citations

• The Stueckelberg Field

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• Pseudoscalar mesons with symmetric bound state vertex functions on the light front

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