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The BFKL pomeron in perturbative QCD is plagued by the lack of unitarity anddiffusion into the infra-red region of gluon virtualities. These two problemsare intimately related. We perform numerical studies of the evolution equationproposed by Balitsky and Kovchegov which unitarizes the BFKL pomeron. We showhow diffusion into the infra-red region is suppressed due to the emergence of asaturation scale and scaling behaviour. We study universality of thisphenomenon as well as its dependence on subleading corrections to the BFKLpomeron such as the running coupling and kinematic constraint. Thesecorrections are very important for phenomenological applications.Comment: 26 pages, 10 figures, some references correcte

Diffusion into infrared and unitarization of the Balitskiĭ-Fadin-Kuraev-Lipatov Pomeron