Spectra of \({Z}\) Bosons and Lepton Angular Coefficients in the Leading Approximation of the Parton Reggeization Approach with Allowance for the Next-to-Leading-Order Corrections

The production of \(Z\) bosons in proton–proton collisions and the LHC energies is studied. The production cross sections for \(Z\) bosons and their transverse-momentum spectra are calculated along with the lepton angular coefficients as functions of the \(Z\)-boson transverse momentum. The calculations are performed within the parton Reggeization approach in the leading-order approximation in the strong coupling constant \((Q\bar{Q}\to Z)\) and with allowance for the next-to-leading-order correction associated with Reggeized-quark scattering on a Reggeized gluon \((RQ\to Zq)\). A numerical simulation is performed by means of the KaTie Monte Carlo generator. The results of the calculations are compared with experimental data of the ATLAS Collaboration.