# Electroweak vacuum stability in presence of singlet scalar dark matter in TeV scale seesaw models

## TL;DR

This paper explores how singlet scalar dark matter and singlet fermions in TeV scale seesaw models influence electroweak vacuum stability, showing that their interplay can stabilize the vacuum up to the Planck scale.

## Contribution

It demonstrates the correlated effects of scalar and fermion sectors on vacuum stability in extended Standard Model frameworks.

## Key findings

- Singlet scalar aids in stabilizing the electroweak vacuum.
- Parameter space exists where vacuum stability, dark matter relic density, and neutrino data are simultaneously satisfied.
- Vacuum can be stable up to the Planck scale with suitable couplings.

## Abstract

We consider singlet extensions of the standard model, both in the fermion and the scalar sector, to account for the generation of neutrino mass at the TeV scale and the existence of dark matter respectively. For the neutrino sector we consider models with extra singlet fermions which can generate neutrino mass via the so called inverse or linear seesaw mechanism whereas a singlet scalar is introduced as the candidate for dark matter. We show that although these two sectors are disconnected at low energy, the coupling constants of both the sectors get correlated at high energy scale by the constraints coming from the perturbativity and stability/metastability of the electroweak vacuum. The singlet fermions try to destabilize the electroweak vacuum while the singlet scalar aids the stability. As an upshot, the electroweak vacuum may attain absolute stability even upto the Planck scale for suitable values of the parameters. We delineate 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.