Phenomenology of the gauge symmetry for right-handed fermions

In this paper we investigate the phenomenology of the U(1) gauge symmetry for right-handed fermions, where three right-handed neutrinos are introduced for anomalies cancellations. Constraints on the new gauge boson Z(R) from Z - Z' mixing as well as the upper bound of Z' production cross section in di-lepton channel at the LHC are presented. We further study the neutrino mass and the phenomenology of Z(R)-portal dark matter in this model. The lightest right-handed neutrino can be the cold dark matter candidate stabilized by a Z(2) flavor symmetry. Our study shows that active neutrino masses can be generated via the modified type-II seesaw mechanism; right-handed neutrino is available dark matter candidate for its mass being very heavy, or for its mass at near the resonant regime of the SM Higgs and(or) the new bosons; constraint from the dilepton search at the LHCis stronger than that from the Z - Z' mixing only for gR < 0.121, where gR is the new gauge coupling.