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We explore a scenario where Dark Matter (DM) couples to the Standard Modelmainly via a scalar mediator ${\cal S}$ that is odd under a $Z_2$ symmetry,leading to interesting collider signatures. In fact, if linear interactionswith the mediator are absent the most important DM production mechanisms atcolliders could lead to final states with missing transverse energy (MET) inassociation with at least two fermions, such as di-jet or di-electronsignatures. The framework we consider is model-independent, in a sense that itis only based on symmetry and formulated in the (extended) DM Effective FieldTheory (eDMEFT) approach. Moreover, it allows to address the smallness offirst-generation fermion masses via suppressed $Z_2$ breaking effects. From adi-jet +MET analysis at the LHC, we find rather loose bounds on the effective${\cal S}$-${\cal S}$-DM-DM interactions, unless the mediator couples verystrongly to SM fermions, while a future $e^+ e^-$ collider, such as CLIC, coulddeliver tighter constraints on the corresponding model parameters, given themediator is leptophilic. We finally highlight the parameter space that allowsto produce the observed DM density, including constraints from direct-detectionexperiments.

Di-jet/$e^+e^-$+ MET to Probe $Z_2-$Odd Mediators to the Dark Sector