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

Abstract

The Balitski\ifmmode \breve{\imath}\else \u{\i}\fi{}-Fadin-Kuraev-Lipatov (BFKL) Pomeron in perturbative QCD is plagued by the lack of unitarity and diffusion into the infrared region of gluon virtualities. These two problems are intimately related. We perform numerical studies of the evolution equation proposed by Balitski\ifmmode \breve{\imath}\else \u{\i}\fi{} and Kovchegov which unitarizes the BFKL Pomeron. We show how diffusion into the infrared region is suppressed due to the emergence of a saturation scale and scaling behavior. We study the universality of this phenomenon as well as its dependence on subleading corrections to the BFKL Pomeron such as the running coupling and kinematic constraint. These corrections are very important for phenomenological applications.