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

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.

Two component dark matter with inert Higgs doublet: neutrino mass, high scale validity and collider searches

“…Among these, type-I seesaw is the simplest possibility [54,55], which indicates the presence of heavy right handed (RH) neutrinos to yield correct light neutrino mass through additional Yukawa coupling with SM Higgs. This in turn may alter the Higgs vacuum stability condition at high scale (larger than the RH neutrino masses) with large neutrino Yukawa coupling [56][57][58][59][60][61][62][63][64][65][66][67][68]. Inclusion of an inert Higgs doublet along with right handed neutrinos can also generate the light neutrino mass radiatively [69].…”

“…In brief, we want to study a multipartite DM scenario which would be adversely affected by the non-zero light neutrino mass in terms of EW vacuum stability. Note that while the neutrino Yukawa coupling involving RH neutrinos and SM Higgs tends to destabilze the EW vacuum, the presence of the additional scalars in the set-up tends to stabilize it [56][57][58][59][60][61][62][63][64][65][66][67][68]. So, we take up an interesting exercise of validating the model from DM constraints, neutrino masses and high scale validity (absolute stability of the Higgs vacuum and perturbativity).…”

Multicomponent dark matter in extended U(1)B−L: neutrino mass and high scale validity

“…Likewise |λ i (µ)| < 4π must also hold all along up to the cut-off. Some explorations of high scale validity (HSV) of TeV-scale neutrinos are [24,59,[73][74][75][76][77][78][79][80][81][82][83][84][85][86][87][88].…”

Constraining the minimal type-III seesaw model with naturalness, lepton flavor violation, and electroweak vacuum stability

“…Following the method outlined in [38,49,74], the additional contribution to the one-loop effective potential from the fermionic triplet is given as,…”