The Iancu–Mueller factorization and high energy asymptotic behaviour

2004/01/31 by Michael M. Kozlov, M. Kozlov, E. Levin
Mathematics · Physics and Astronomy · #Algorithm #Factorization #High-Energy Particle Collisions Research #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.nuclphysa.2004.04.107

published as Nucl.Phys. A739 (2004) 291-315 · 27 pages, 9 figuures

arxiv created 2004/04/08 · openalex publication_date 2004/04/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that the Iancu-Mueller factorization has a simple interpretation in the Reggeon - like technique based on the BFKL Pomeron. The formula for calculating the high energy asymptotic behaviour for the colour dipole-dipole amplitude is proposed which suggests a procedure to calculate this amplitude through the solution to the Balitsky-Kovchegov non-linear equation. We confirm the Iancu - Mueller result that a specific set of enhanced diagrams is responsible for the high energy behaviour for fixed QCD coupling. However, it is argued that in the case of running QCD coupling, this asymptotic behaviour originates from the Balitsky-Kovchegov non-linear equation. A new solution to the non-linear equation is found which leads to a different asymptotic behaviour of the scattering amplitude even for fixed QCD coupling..

Citations

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