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In this work, the P-P(\={P}) Drell-Yan lepton pair production (DY)differential cross sections at hadrons colliders, such as LHC and TEVATRON, arestudied in the ${k_{t}}$-factorization framework. In order to take into accountthe transverse momenta of incoming partons, we use the unintegrated partondistribution functions (UPDF) of Kimber et al (KMR) and Martin et al (MRW) inthe leading order (LO) and next-to-leading-order (NLO) levels with the inputMMHT2014 PDF libraries. Based on the different off-shell partonic matrixelements, we analyze the behaviors of DY differential cross sections withrespect to the invariant mass, the transverse momentum and the rapidity as wellas the specific angular correlation between the produced leptons. The numericalresults are compared with the experimental data, in different energies, whichare reported by various collaborations, such as CDF, CMS, ATLAS and LHCb. It isshown that the NLO-MRW and KMR schemes predict closer results to the datacompared to the LO-MRW, since we do not have fragmentation.

physical review. d/physical review. d.

The analysis of Drell-Yan lepton pair production in the P-P(\={P})  colliders using different angular ordering constraints and  $k_t$-factorization approach