Abstract We study the augmentation of the Standard Model (SM) with another SU (2) Higgs doublet and right-handed neutrinos. The second Higgs doublet (Φ2) is defined to be odd under the Z2 symmetry, and hence, the lightest stable neutral particle from the additional doublet becomes the cold dark matter candidate. The right-handed neutrino field coupled to the Higgs field provides non-zero mass for the neutrinos. The inert doublet field coupled non-minimally to gravity as ₂ ₂^ ₂ R also acts as an inflaton field. The inflationary bounds restrict the interaction couplings as ₂/ ₂² 4 10^-10. After inflation ends, the scalar bosonic degrees of freedom from the inert doublet can contribute to the electroweak phase transition. The strongly first-order phase transition bound, i. e. , + (ₓ₂) Tc 1. 0 restricts the bare mass parameter of the additional doublet to m22 = 400. 0 GeV, demanding GUT scale perturbative unitarity for YN = 0. 01. The right-handed neutrino effect is studied here only through the running of Yukawa coupling, i. e. YN. The running of Yukawa coupling for different values at the electroweak scale restricts the perturbative unitarity at different scales, and effects the strength of phase transition. The increase in YN reduces the strength of phase transition, and it is no longer satisfied even for vanishing bare mass parameter. The Planck scale perturbative unitarity allows for the first-order phase transition, + (ₓ₂) Tc 0. 6, until m22 = 70. 0 GeV for YN = 0. 01, and none of the mass values satisfies the first-order phase transition for YN = 0. 4. The thermal corrections also affect the probability of tunneling from the false vacuum to the true vacuum, and hence, the finite temperature stability of the electroweak vacuum has been studied including the finite-temperature effects.
Park et al. (Wed,) studied this question.