  In this study, we aim to explore the potential for generating events related
to dark matter (DM) in conjunction with a neutral heavy gauge boson
(Z$^{\prime}$) decaying leptonically during proton-proton collisions at the
Large Hadron Collider (LHC). These collisions occur at a center-of-mass energy
of $\sqrt{s}$ = 14 TeV, with a high integrated luminosity equivalent to 1000
fb$^{-1}$. Our analysis involves interpreting the outcomes through Monte Carlo
simulation of the effective field theory (EFT) framework. If no new physics is
detected, we establish constraints on various parameters within the EFT
context, such as the scenario cutoff scale ($\Lambda$) and the Z$^{\prime}$
mass.
