Re-examination of the Perturbative Pion Form Factor with Sudakov Suppression

Details Re-examination of the Perturbative Pion Form Factor with Sudakov Suppression Re-examination of the Perturbative Pion Form Factor with Sudakov Suppression

1995-03-18

arxiv.org/abs/hep-ph/9503374v1

Phys.Rev.D52:5358-5361,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, LaTex file, 2 figures as uu-encoded postscript file.

Scientific paper

10.1103/PhysRevD.52.5358

The perturbative pion form factor with Sudakov suppression is re-examined. Taking into account the multi-gluon exchange in the law $Q^2$ regions, we suggest that the running coupling constant should be frozen at $\alpha_s(t=\sqrt{<{\bf k}_{T}^{2}>})$ and $\sqrt{<{\bf k}_{T}^{2}>}$ is the average transverse momentum which can be determined by the pionic wave function. In addition, we correct the previous calculations about the Sudakov suppression factor which plays an important role in the perturbative predictions for the pion form factor.

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