Dirac dark matter in $U(1)_{B-L}$ with Stueckelberg mechanism

Understand

We investigate a $U(1)_{B-L}$ gauge extension of the Standard Model (SM) where the gauge boson mass is generated by the Stueckelberg mechanism.

• Three right-handed neutrinos are added to cancel the gauge anomaly and hence the neutrino masses can be explained.
• A new Dirac fermion could be a WIMP dark matter whose interaction with the SM sector is mediated by the new gauge boson.
• Assuming the perturbativity of the gauge coupling up to the Planck scale, we find that only the resonance region is feasible for the dark matter abundance.