  We propose an Abelian gauged version of the singlet-doublet fermionic dark
matter (DM) model where DM, combination of a vector like fermion doublet and a
fermion singlet, is naturally stabilised by the gauge symmetry without
requiring any ad-hoc discrete symmetries. In order to have good detection
prospects at collider experiments like the large hadron collider (LHC) and
enlarged parameter space for low mass DM, we consider the additional gauge
symmetry to be based on the quantum $B-3L_{\tau}$ where the restriction to
third generation of leptons is chosen to have weaker bounds from the LHC on the
corresponding gauge boson. The triangle anomalies arising in this model can be
cancelled by including a right handed neutrino which takes part in generating
light neutrino masses through type I seesaw mechanism. Apart from DM, collider
prospects and light neutrino masses, the model also offers high scale validity
giving rise to a stable electroweak vacuum and perturbative couplings all the
way up to the Planck scale. We constrain our model parameters from these
requirements as well as existing relevant constraints related to DM and
colliders.
