2010/08/03 by Guillaume Beuf, Beuf, Guillaume · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.1008.0498
11 pages, 2 figures
arxiv created 2010/08/03 · openalex publication_date 2010/08/03 · arxiv updated 2010/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The universal traveling wave solution to the Balitsky-Kovchegov equation with running coupling (and other equations in the same universality class) is extended to subleading orders at large rapidity and small dipole size r. The large rapidity expansion of the logarithm of the saturation scale Qs(Y) is derived from that traveling wave solution. In addition to the two already known leading terms in Y1/2 and Y1/6, which are determined only by the LL BFKL kernel, the three following terms in Y0, Y-1/6 and Y-1/3 are obtained. They are universal and sensitive to NLL BFKL effects. Initial condition dependence and NNLL BFKL effects would both start to appear only at the next order, which is in Y-1/2. In the light of these results, the impact of the precise implementation of the running coupling in gluon saturation is discussed, i.e. parent dipole size prescription vs. Balitsky's prescription, and also the effect of the full NLL corrections, not yet implemented in numerical simulations.