1$ and the unitarity of the procedure transfers such events to the region $k_T\sim p_T$. There is one more approach proposed in Ref. [@Kutak:2014wga], similar to the one just described, where analogous procedure is applied at the level of UGDs by fixing its integral over $k_{T}$ (it has an advantage of being independent on any software and one may produce grids for a practical usage). In summary, we may consider the following modifications of UGDs \[enu:pure-BFKL-equation\]-\[enu:lastmodel\]:

1.  BFKL with the Sudakov (BFKL+S)

2.  BFKL with the kinematic constraint and the Sudakov (BFKL+CS)

3.  BFKL with DGLAP correction and the Sudakov (BFKL+DS)

4.  BFKL with the kinematic constraint in re-summed form and the Sudakov (BFKL+CRS)

5.  BFKL with the kinematic constraint, DGLAP correction and the Sudakov (BFKL+CDS)\[enu:BFKLCDS\]

Unfortunately, as far as fitting of UGDs is considered, the above Sudakov-based models are not suitable. This is because they require the knowledge of an integral (whether it is a cross section or integrated gluon, c.f. [@vanHameren:2014ala] vs [@Kutak:2014wga]) which is unknown at the stage of fitting. In principle, one could try to use the method of successive approximations with the Sudakov model of Ref. [@vanHameren:2014ala]. We shall report on our attempts in Section 