Pion form factor in the Kroll-Lee-Zumino model

Details Pion form factor in the Kroll-Lee-Zumino model Pion form factor in the Kroll-Lee-Zumino model

2007-05-14

arxiv.org/abs/0705.1902v3

Phys.Rev.D76:095002,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

Revised version corrects a misprint in Eq.(1)

Scientific paper

10.1103/PhysRevD.76.095002

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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