We discuss simple extensions of the Standard Model featuring a (fermionic)
stable DM candidate interacting with SM fermions through a Z′ mediator.
These kind of models offer a wide phenomenology but result, at the same time,
particularly manageable, given the limited number of free-parameters, and offer
a broad LHC phenomenology. We will discuss the impact Direct and Indirect Dark
Matter searches, assuming the latter to be thermal WIMPs. We will show in
particular that the combinations of the limits on the DM Spin Independent and
Spin Dependent scattering cross-section on nuclei already exclude large
portions of the parameter space favored by DM relic density, in particular if,
in addition, a DM Indirect signal, like the Galactic Center gamma-ray excess is
required.Comment: 7 pages, 2 figures. To appear as proceeding of the conference HEP-EPS
2015, Wien (Austria
