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We consider a model for a Z'-boson coupled only to baryon minus lepton numberand hypercharge. Besides the usual right-handed neutrinos, we add a pair offermions with a fractional lepton charge, which we therefore call leptinos. Oneof the leptinos is taken to be odd under an additional Z_2 charge, the othereven. This allows for a natural (inverse) seesaw mechanism for neutrino masses.The odd leptino is a candidate for dark matter, but has to be resonantlyannihilated by the Z'-boson or the Higgs-boson responsible for giving mass tothe former. Considering collider and cosmological bounds on the model, we findthat the Z'-boson and/or the extra Higgs-boson can be seen at the LHC. Withmore pairs of leptinos leptogenesis is possible.

Natural $Z'$ model with an inverse seesaw and leptonic dark matter