Electromagnetic and Scalar Pion form factor in the Kroll-Lee-Zumino model

Details Electromagnetic and Scalar Pion form factor in the Kroll-Lee-Zumino model Electromagnetic and Scalar Pion form factor in the Kroll-Lee-Zumino model

2009-04-27

arxiv.org/abs/0904.4215v1

Nucl.Phys.Proc.Suppl.186:141-144,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

four pages, two figures

Scientific paper

10.1016/j.nuclphysbps.2008.12.03

The renormalizable Abelian quantum field theory model of Kroll, Lee, and Zumino is used at the one loop level to compute vertex corrections to the tree-level, Vector Meson Dominance (VMD) electromagnetic pion form factor. These corrections, together with the one-loop vacuum polarization contribution, imply a resulting electromagnetic pion form factor in excellent agreement with data in the whole range of accessible momentum transfers in the space-like region. The time-like form factor, which reproduces the Gounaris-Sakurai formula at and near the rho-meson peak, is unaffected by the vertex correction at order $\cal{O}$$(g^2)$. The KLZ model is also used to compute the scalar radius of the pion at the one loop level, finding $_{S} = 0.40 fm^{2}$. This value implies for the low energy constant of chiral perturbation theory $\bar{l}_{4} =3.4$.

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