Search for the production of dark matter in the framework of Mono-Z${}^{\mathrm{\prime }}$ portal at the ILC simulated electron-positron collisions at $\sqrt{s}=500$ GeV

In the present work, we study the possible production of the light neutral gauge boson (Z${}^{\mathrm{\prime }}$) candidates, which originated from a simplified-model scenario based on the Mono-Z${}^{\mathrm{\prime }}$ model, in association with dark matter. This study has been performed by studying events with dimuon plus missing transverse energy produced in the simulated electron-positron collisions at the foreseen International Linear Collider (ILC), operating at 500 GeV center of mass energy and integrated luminosity of 1000 fb${}^{-1}$. In case no new physics has been discovered, we set upper limits at 95% confidence level on the masses of various particles in the model as, spin-1 (Z${}^{\mathrm{\prime }}$), as well as the fermionic dark matter.