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We study the $S_3$-symmetric two Higgs doublet model by adding twogenerations of vector like leptons (VLL) which are odd under a discrete $Z_2$symmetry. The lightest neutral component of the VLL acts as a dark matter (DM)whereas the full VLL set belongs to a dark sector with no mixings allowed withthe standard model fermions. We analyse the model in light of dark matter andcollider searches. We show that the DM is compatible with the current relicdensity data as well as satisfying all direct and indirect dark matter searchconstraints. We choose some representative points in the model parameter spaceallowed by all aforementioned dark matter constraints and present a detailedcollider analysis of multi-lepton signal viz. the mono-lepton, di-lepton,tri-lepton and four-lepton along with missing transverse energy in the finalstate using both the cut-based analysis and multivariate analysis respectivelyat the high luminosity 14 TeV LHC run.

Dark Matter and Collider Searches in $S_3$-Symmetric 2HDM with Vector Like Leptons