Measurement of Z+jets differential cross section at $\sqrt{s} = 8$ and 13 TeV with the CMS detector

The production of a Z boson in association with hadronic jets is a cardinal process at the LHC providing a reference both for the physics measurements and for the understanding of the detector response. With the large energy in the center-of-mass of the colliding hadrons obtained with the LHC, jet production is present in almost all the processes under study. The decay of the Z boson to charged leptons allows for a clean and efficient selection of a signal sample, contaminated with only a marginal amount of background, and offering therefore the ideal conditions for the study of hadronic jet production. Differential cross section measurements of the Z boson production in association with jets are presented, using 8 TeV and 13 TeV proton-proton collisions data recorded by the CMS detector at the LHC. The cross sections are presented as a function of jet multiplicity, the jet transverse momenta, and the jet rapidity for different jet multiplicities. The cross section measurements are then compared with the predictions from a multileg next-to-leading-order Monte Carlo generator.