Estimates for the Abelian $Z^{\prime }$ Couplings from the LHC Data

Abstract

In this paper, we investigate the Drell-Yan process with the intermediate heavy $Z^{\prime }$ boson. We use a general approach to the Abelian $Z^{\prime }$ that utilizes the renormalization-group relations between the $Z^{\prime }$ couplings and allows to reduce the number of unknown $Z^{\prime }$ parameters significantly. In a newly proposed strategy, we estimate the LHC-driven constraints for the $Z^{\prime }$ couplings to lepton and quark vector currents. To do this, we calculate the $Z^{\prime }$-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 $Z^{\prime }$ couplings to the $u$ and $d$ quarks and to final-state leptons.

Comments: revtex, 9 pages, 8 figures. Title and abstract rewritten, figures added, mixing angle investigated (thanks for the hint from the anonymous IJMPA referee). v3 coincides with the published version