2006/09/11 by Ian Balitsky, I Balitsky · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Dipole #Gluon #High-Energy Particle Collisions Research #Logarithm #Mathematical analysis #Mathematics #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Scattering #hep-ph
paper · pdf · doi:10.1103/physrevd.75.014001
published as Phys.Rev.D75:014001,2007 · 21 pages, 11 eps figures
arxiv created 2006/09/11 · openalex publication_date 2007/01/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The small-x deep inelastic scattering in the saturation region is governed by the nonlinear evolution of Wilson-lines operators. In the leading logarithmic approximation it is given by the Balitsky-Kovchegov (BK) equation for the evolution of color dipoles. In the next-to-leading order (NLO) the nonlinear equation gets contributions from quark and gluon loops. In this paper I calculate the quark-loop contribution to small-x evolution of Wilson lines in the NLO. It turns out that there are no new operators at the one-loop level---just as at the tree level, the high-energy scattering can be described in terms of Wilson lines. In addition, from the analysis of quark loops I find that the argument of coupling constant in the BK equation is determined by the size of the parent dipole rather than by the size of produced dipoles. These results are to be supported by future calculation of gluon loops.