The nonlinear Balitsky-Kovchegov equation at small x is solved numerically, incorporating impact parameter dependence. Confinement is modeled by including effective gluon mass in the dipole evolution kernel, which regulates the splitting of dipoles with large sizes. It is shown, that the solution is sensitive to different implementations of the mass in the kernel. In addition, running coupling effects are taken into account in this analysis. Finally, a comparison of the calculations using the dipole framework with the inclusive data from HERA on the structure functions F2 and FL is performed.

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. These effects are important for the nonlinear evolution with impact parameter.

The process of exclusive elastic vector meson production in deep inelastic scattering is investigated within the dipole model framework supplemented by the small x evolution. The dipole-proton amplitude is obtained from the nonlinear Balitsky-Kovchegov evolution equation with impact parameter dependence. This dipole amplitude is used to compute the differential cross section for exclusive production of J/Ψ, φ, and ρ vector mesons. These numerical calculations are compared with the wide range of experimental data from HERA. Good agreement between the experimental data and the calculations is found.

Erratum to: JHEP01(2014)163ArXiv ePrint: 1311.6736We update the parameters of the fitted functions for lepton and jet selection efficiencies presented in section 9 of the original paper. Due to an editorial error, these numbers were wrongly inserted. The corresponding figures, figures 10 and 11 of the original paper, showing the fitted functions, are unchanged. ParameterElectrons Muons

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