Estimates for the Abelian Z' Couplings from the LHC Data

In this paper, we investigate the Drell-Yan process with the intermediate heavy $Z'$ boson. We use a general approach to the Abelian $Z'$ that utilizes the renormalization-group relations between the $Z'$ couplings and allows to reduce the number of unknown $Z'$ parameters significantly. In a newly proposed strategy, we estimate the LHC-driven constraints for the $Z'$ couplings to lepton and quark vector currents. To do this, we calculate the $Z'$-related contribution in the narrow-width approximation and compare the obtained values to the experimental data presented by the ATLAS and CMS collaborations. Our method allows to estimate the values of $Z'$ couplings to the $u$ and $d$ quarks and to final-state leptons.