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

Jeffrey Berger, Anna M. Staśto

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Abstract

The nonlinear evolution equation at small x with impact parameter dependence is analyzed numerically. The saturation scales and the radius of expansion in the 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 the leading logarithmic approximation are taken partially into account by modifying the kernel which includes the rapidity-dependent cuts. These effects are important for the nonlinear evolution with the impact parameter dependence.

Original languageEnglish (US)
Article number034015
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume83
Issue number3
DOIs
Publication statusPublished - Feb 11 2011

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All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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