Inverse Seesaw, Singlet Scalar Dark Matter and Vacuum Stability

We study the stability of the electroweak vacuum in the context of an inverse seesaw model extended by a singlet scalar dark matter. We show that even though these two sectors seem disconnected at low energy, the coupling constants of both the sectors get correlated at a high energy scale by the constraints coming from the perturbativity and stability/metastability of the electroweak vacuum. The new Yukawa couplings try to destabilize the electroweak vacuum while the additional scalar quartic couplings aid the stability. In fact, the electroweak vacuum may attain absolute stability even up to the Planck scale for suitable values of the parameters. We analyze the parameter space for the singlet fermion and the scalar couplings for which the electroweak vacuum remains stable/metastable and at the same time giving the correct relic density and neutrino masses and mixing angles as observed.