Leptophilic dark matter from gauged lepton number: Phenomenology and
  gravitational wave signatures
  New gauge symmetries often appear in theories beyond the Standard Model. Here
we study a model where lepton number is promoted to a gauge symmetry. Anomaly
cancellation requires the introduction of additional leptons, the lightest of
which is a natural leptophilic dark matter candidate. We perform a
comprehensive study of both collider and dark matter phenomenology. Furthermore
we find that the model exhibits a first order lepton number breaking phase
transition in large regions of parameter space. The corresponding gravitational
wave signal is computed, and its detectability at LISA and other future GW
detectors assessed. Finally we comment on the complementarity of dark matter,
collider and gravitational wave observables, and on the potential reach of
future colliders.
