Numerical solution of the nonlinear evolution equation at small x with impact parameter and beyond the LL approximation

Details Numerical solution of the nonlinear evolution equation at small x with impact parameter and beyond the LL approximation Numerical solution of the nonlinear evolution equation at small x with impact parameter and beyond the LL approximation

2010-10-04

arxiv.org/abs/1010.0671v1

Phys.Rev.D83:034015,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, 37 figures, RevTex

Scientific paper

10.1103/PhysRevD.83.034015

Nonlinear evolution equation at small x with impact parameter dependence is analyzed numerically. Saturation scales and the radius of expansion in impact parameter are extracted as functions of rapidity. Running coupling is included in this evolution, and it is found that the solution is sensitive to the infrared regularization. Kinematical effects beyond leading logarithmic approximation are taken partially into account by modifying the kernel which includes the rapidity dependent cuts. While the local nonlinear evolution is not very sensitive to these effects, the kinematical constraints cannot be neglected in the evolution with impact parameter.

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