2006/09/08 by Yuri V. Kovchegov, Heribert Weigert · 7 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1016/j.nuclphysa.2006.10.075
published as Nucl.Phys.A784:188-226,2007 · 41 pages
arxiv created 2006/09/08 · openalex publication_date 2006/11/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the inclusion of running coupling corrections into the non-linear small-x JIMWLK and BK evolution equations by resumming all powers of alphas Nf in the evolution kernels. We demonstrate that the running coupling corrections are included in the JIMWLK/BK evolution kernel by replacing the fixed coupling constant alphas in it with alphas (1/r12) alphas (1/r22) / alphas (1/R2), where r1 and r2 are transverse distances between the emitted gluon and the harder gluon (or quark) off of which it was emitted to the left and to the right of the interaction with the target. In the formalism of Mueller's dipole model r1 and r2 are the transverse sizes of ``daughter'' dipoles produced in one step of the dipole evolution. The scale R is a function of two-dimensional vectors r1 and r2, the exact form of which is scheme-dependent. We propose using a particular scheme which gives us R as an explicit function of r1 and r2.