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arXiv · 0705.1902

Pion form factor in the Kroll-Lee-Zumino model

Cesareo A. Dominguez·Juan I. Jottar·Marcelo Loewe·Bernard Willers
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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 $\cal{O}$$(g_\rpp^2)$.

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Cesareo A. Dominguez, Juan I. Jottar, Marcelo Loewe, Bernard Willers. 2007-08-14. Pion form factor in the Kroll-Lee-Zumino model. https://doi.org/10.1103/physrevd.76.095002

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