Unintegrated gluon distribution from modified BK equation

We investigate recently proposed nonlinear equation for the unintegrated gluon distribution function which includes subleading effects in the linear part. We obtained numerically the solution to this equation in (x, k) space and also the integrated gluon density. We show that the saturation scale which is obtained from this model is consistent with the one used in the saturation model by Golec-Biernat and Wüsthoff. We also estimate the nonlinear effects by looking at the relative normalisation of the solutions to linear and nonlinear equations. It turns out that the differences are quite large even in the nominally dilute regime, that is when Q ≫ Q s . Finally we calculate the dipole cross section obtained from this model.