The Standard Model (SM) of particle physics, in spite of being spectacularly successful in describing the low-energy physics, cannot be a complete theory of Nature. There are a number of experimental as well as theoretical reasons to believe that there must be some new physics

not far above the electroweak scale. This TeV-scale new physics beyond the SM is of enormous current interest as the Large Hadron Collider (LHC) presents an unprecedented opportunity to explore this energy range and shed light on some of the unresolved puzzles of fundamental physics. Although it is not yet clear which new physics scenario is preferred by Nature, supersymmetry is certainly believed to be one of the strongest candidates.

In this work, we propose a Left-Right extension of the Minimal Supersymmetric Standard Model (MSSM) to explain the observed non-zero neutrino masses by the inverse seesaw mechanism.

We show that apart from preserving the nice features of MSSM (e.g. gauge coupling unification, radiative electroweak symmetry breaking, dark matter), this framework provides a natural realization of the resonant leptogenesis mechanism to explain the matter-antimatter asymmetry in the universe, and also provides a natural inelastic dark matter candidate, all linked to the small Majorana mass of the neutrinos. We further show that the collider tests of the inverse seesaw mechanism and the related phenomenology are much more feasible compared to the canonical seesaw, thus extending the scope of the LHC physics search to the neutrino sector as well as to cosmology. We also prove that this TeV-scale scenario can be successfully embedded into a Supersymmetric Grand Unified Theory framework consistent with the proton decay constraints.