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Solving the BFKL equation with running coupling

2000/11/30 by J. R. Forshaw, Douglas A. Ross, D. A. Ross +2 · 2 citations
Environmental Science · Physics and Astronomy · #Climate variability and models #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/s0370-2693(00)01386-1

published as Phys.Lett.B498:149-155,2001 · 11 pages, 2 figs

arxiv created 2000/11/30 · openalex publication_date 2001/01/01 · arxiv updated 2009/11/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28

Abstract

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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