Normalization of unintegrated parton densities

Recently, the definitions of Kimber-Martin-Ryskin-Watt (KMRW) unintegrated parton densities (UPDFs) have been discussed by several groups. In first part this manuscript, we remind reader about issues encountered with these and discuss proposed solutions. our opinion, none solutions is fully satisfactory. We observe that seem to be related normalization condition where UPDFs are collinear PDFs an integration over transverse momentum cut off factorization scale. Then, build a modified version angular-ordering KMRW UPDFs, obeying integrated up infinity show usual absent.