Eikonal Evolution and Gluon Radiation

Details Eikonal Evolution and Gluon Radiation Eikonal Evolution and Gluon Radiation

2001-06-21

arxiv.org/abs/hep-ph/0106240v2

Phys.Rev. D64 (2001) 114002

Physics

High Energy Physics

High Energy Physics - Phenomenology

40 pages, LaTeX, 3 eps-figures, typos corrected, to be published in PRD

Scientific paper

10.1103/PhysRevD.64.114002

We give a simple quantum mechanical formulation of the eikonal propagation approximation, which has been heavily used in recent years in problems involving hadronic interactions at high energy. This provides a unified framework for several approaches existing in the literature. We illustrate this scheme by calculating the total, elastic, inelastic and diffractive DIS cross sections, as well as gluon production in high energy hadronic collisions. From the q-qbar-g-component of the DIS cross sections, we straightforwardly derive low x evolution equations for inelastic and diffractive DIS distribution functions. In all calculations, we provide all order 1/N corrections to the results existing in the literature.

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