Gauge B-L model with residual Z3 symmetry

We study a gauge B-L extension of the standard model of quarks and leptons with unconventional charges for the singlet right-handed neutrinos, and extra singlet scalars, such that a residual Z3 symmetry remains after the spontaneous breaking of B-L. We discuss the phenomenological consequences of this scenario, including the possibility of long-lived self-interacting dark matter and Z′ collider signatures.