Search for dark matter in the framework of Einstein-Cartan gravity at the International Linear Collider (ILC)

This paper investigates the possibility of Dark Matter (DM) fermions production alongside a gauge boson (A$^{\prime}$) using a model based on Einstein-Cartan gravity in an electron-positron linear collider, such as the ILC, that operates at a center-of-mass energy $\sqrt{s} = 500$ GeV with a detector's integrated luminosity of 1000 fb$^{-1}$. We used the WHIZARD package as the event generator to simulate the $ e^{+} e^{-}$ interactions that lead to the production of di-muon pairs and missing transverse energy. We specifically are performing this study on a low mass dark gauge boson, M$_{A^\prime}$= 10 GeV, that can subsequently decay into a muon pair (A$^\prime\rightarrow \mu^{+}\mu^{-})$ while aiming to set upper limits on the free parameters' masses of the model, such as the torsion field (ST), if evidence for physics beyond the standard model is not found.