Vacuum stability in inert higgs doublet model with right-handed neutrinos

Abstract

We analyze the vacuum stability in the inert Higgs doublet extension of the Standard Model (SM), augmented by right-handed neutrinos (RHNs) to explain neutrino masses at tree level by the seesaw mechanism. We make a comparative study of the highand low-scale seesaw scenarios and the effect of the Dirac neutrino Yukawa couplings on the stability of the Higgs potential. Bounds on the scalar quartic couplings and Dirac Yukawa couplings are obtained from vacuum stability and perturbativity considerations. These bounds are found to be relevant only for low-scale seesaw scenarios with relatively large Yukawa couplings. The regions corresponding to stability, metastability and instability of the electroweak vacuum are identified. These theoretical constraints give a very predictive parameter space for the couplings and masses of the new scalars and RHNs which can be tested at the LHC and future colliders. The lightest non-SM neutral CP-even/odd scalar can be a good dark matter candidate and the corresponding collider signatures are also predicted for the model.

Yet another lesson on the stability conditions in multi-Higgs potentials

“…These trajectories receive contributions from all the fields of a theory, so that the result will depend not only on the scalar sector but also on additional fields. An example of this sensitivity within the inert doublet model can be found in [39].…”

Constraining Scalar Doublet and Triplet Leptoquarks with Vacuum Stability and Perturbativity

“…At this point it is worth mentioning that in case of λ h two-loop contributions affect the running significantly. The addition of right-handed neutrinos pulls the stability scale further down with more negative contributions [115][116][117][118][119]. In contrast, the presence of scalar leptoquarks is expected to push the stability scale further by adding positive contributions to these beta functions.…”

“…On the other hand, the inclusion of additional fermionic particles worsen the case by further lowering the energy scale till which λ h remains positive. To avoid the stability issue, these models are also often extended with additional scalar particles [115][116][117][118][119]. However, it is important to note that fermions with SU (2) L gauge charge, pushes for non-perturbativity, thus gives constraints on the number of generation for the Planck scale perturbativity.…”

Neutrino mass and asymmetric dark matter: study with inert Higgs doublet and high scale validity

“…in achieving radiative neutrino mass. The absence of neutrino Yukawa interaction involving SM lepton doublet, the Higgs and the RH neutrinos is also beneficial from electroweak (EW) vacuum stability point of view as such interaction may pose a threat [73][74][75] to it . On the other hand, the presence of such interaction involving IHD (as in the present setup) does no harm to the stability of the electroweak vacuum.…”