A modified Balitsky-Kovchegov equation
  We propose a modified version of the Balitsky-Kovchegov (B-K) evolution equation, which includes the main NLO corrections. We use the result that the main NLO corrections to the BFKL kernel are the LO DGLAP corrections.   We present a numerical solution of the modified nonlinear equation, and compare with the solution of the unmodified B-K equation. We show that the saturation momentum has a sharp increase in the LHC energy range. Our numerical solution indicates that the influence of the pre-asymptotic corrections, related to the full anomolous dimensions of the DGLAP equation, are rather large. These corrections moderate the energy behaviour of the amplitude, as well as the value of the saturation scale. All our calculations are made with a fixed value of $\alpha_{s}$. 
E. Gotsman, E. Levin, U. Maor and E. Naftali (Tel Aviv U.)