Solving the BFKL Equation with Running Coupling

Details Solving the BFKL Equation with Running Coupling Solving the BFKL Equation with Running Coupling

2000-11-03

arxiv.org/abs/hep-ph/0011047v2

Phys.Lett.B498:149-155,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 2 figs

Scientific paper

10.1016/S0370-2693(00)01386-1

We describe a formalism for solving the BFKL equation with a coupling that runs for momenta above a certain infrared cutoff. By suitably choosing matching conditions proper account is taken of the fact that the BFKL diffusion implies that the solution in the infrared (fixed coupling) regime depends upon the solution in the ultraviolet (running coupling) regime and vice versa. Expanding the BFKL kernel to a given order in the ratio of the transverse momenta allows arbitrary accuracy to be achieved.

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