x-Evolution of Phenomenological Dipole Cross Sections

Details x-Evolution of Phenomenological Dipole Cross Sections x-Evolution of Phenomenological Dipole Cross Sections

2007-06-12

arxiv.org/abs/0706.1666v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 2 figures, contributed to the Proceedings of DIS2007

Scientific paper

Deep inelastic scattering at small x can be described very effectively using saturation inspired dipole models. We investigate whether such models are compatible with the numerical solutions of the Balitsky-Kovchegov (BK) equation which is expected to describe the nonlinear evolution in x of the dipole cross section. We find that the BK equation yields results that are qualitatively different from those of phenomenological studies. Geometric scaling is recovered only towards asymptotic rapidities. In this limit the value of the anomalous dimension gamma(r,x) at the saturation scale approaches approximately 0.44, in contrast to the value 0.63 commonly used in the models.

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