Electroweak phase transition with radiative symmetry breaking in Type-II seesaw with inert doublet

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Hauptverfasser: Jangid, Shilpa, Okada, Hiroshi
Format: Preprint
Veröffentlicht: 2023
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author Jangid, Shilpa
Okada, Hiroshi
author_facet Jangid, Shilpa
Okada, Hiroshi
contents We consider the Type-II seesaw model extended with another Higgs doublet, which is odd under the $Z_2$ symmetry. We look for the possibility of triggering the electroweak symmetry breaking via radiative effects. The Higgs mass parameter changes sign from being positive at higher energy scales to negative at lower energy scales in the presence of the TeV scalar triplet. The Planck scale perturbativity is demanded and the electroweak phase transition is studied using two-loop $β$-functions. The maximum allowed values for the interaction quartic coupling of the second doublet field and the triplet field with the Higgs field are $λ_3=0.15$ and $λ_{Φ_{1Δ}}=0.50$, respectively. Considering these EW values, the first-order phase transition, i.e., $ϕ_{+}(T_c)/T_c\sim 0.6$ is satisfied only for vanishing doublet and triplet bare mass parameters, $m_{Φ_2}=0.0$ GeV and $m_Δ=0.0$ GeV. The small non-zero induced vacuum expectation value for the scalar triplet also generates the neutrino mass, and the lightest stable neutral particle from the inert doublet satisfies the dark matter constraints for the chosen parameter space. The impact of the thermal corrections on the stability of the electroweak vacuum is also studied, and the current experimental values of the Higgs mass and the top mass lie in the stable region both at the zero temperature and the finite temperature.
format Preprint
id arxiv_https___arxiv_org_abs_2310_12591
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Electroweak phase transition with radiative symmetry breaking in Type-II seesaw with inert doublet
Jangid, Shilpa
Okada, Hiroshi
High Energy Physics - Phenomenology
We consider the Type-II seesaw model extended with another Higgs doublet, which is odd under the $Z_2$ symmetry. We look for the possibility of triggering the electroweak symmetry breaking via radiative effects. The Higgs mass parameter changes sign from being positive at higher energy scales to negative at lower energy scales in the presence of the TeV scalar triplet. The Planck scale perturbativity is demanded and the electroweak phase transition is studied using two-loop $β$-functions. The maximum allowed values for the interaction quartic coupling of the second doublet field and the triplet field with the Higgs field are $λ_3=0.15$ and $λ_{Φ_{1Δ}}=0.50$, respectively. Considering these EW values, the first-order phase transition, i.e., $ϕ_{+}(T_c)/T_c\sim 0.6$ is satisfied only for vanishing doublet and triplet bare mass parameters, $m_{Φ_2}=0.0$ GeV and $m_Δ=0.0$ GeV. The small non-zero induced vacuum expectation value for the scalar triplet also generates the neutrino mass, and the lightest stable neutral particle from the inert doublet satisfies the dark matter constraints for the chosen parameter space. The impact of the thermal corrections on the stability of the electroweak vacuum is also studied, and the current experimental values of the Higgs mass and the top mass lie in the stable region both at the zero temperature and the finite temperature.
title Electroweak phase transition with radiative symmetry breaking in Type-II seesaw with inert doublet
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2310.12591