A leptophobic Z′ and dark matter from grand unification

We explore the phenomenology of Grand Unified Models based on the E6 group, focusing on the Z′ with suppressed couplings to leptons that can appear in such models. We find that this Z′ can accommodate the W+dijets anomaly reported by the CDF Collaboration. Furthermore, a viable dark matter candidate in the form of a right-handed sneutrino is also present within the fundamental 27-dimensional representation of E6. Through its sizable couplings to the Z′, the dark matter is predicted to possess an elastic scattering cross section with neutrons which can generate the signals reported by the CoGeNT and DAMA/LIBRA Collaborations. To avoid being overproduced in the early universe, the dark matter must annihilate to leptons through the exchange of charged or neutral fermions which appear in the 27 of E6, providing an excellent fit to the gamma ray spectrum observed from the Galactic Center by the Fermi Gamma Ray Space Telescope.