Associated production of J/ψ plus Z(W) in the improved color evaporation model using the parton Reggeization approach

In this paper, we study the associated production of prompt $J/\psi$ mesons and $Z(W)$ bosons in the improved color evaporation model using the high-energy factorization as it is formulated in the parton Reggeization approach. The last one is based on the modified Kimber–Martin–Ryskin–Watt model for unintegrated parton distribution functions and the effective field theory of Reggeized gluons and quarks, suggested by Lipatov. We predict cross-section for associated $J/\psi$ and $Z(W)$ hadroproduction via the single and double parton scattering mechanisms using the set of model parameters which has been obtained early for description of single and double prompt $J/\psi$ production at the LHC energies. The numerical calculations are realized using the Monte Carlo event generator KaTie. The calculation results are compared with the data at the energies $\sqrt{s}=7$$$TeV and 8$$TeV and we make predictions for the energy $\sqrt{s}=13$$$TeV for $J/\psi$ plus $Z(W)$ and $\mathrm{\Upsilon }$ plus $Z(W)$ associated production at $\sqrt{s}=8$$$TeV and 13$$TeV.