Fate of the scalar quartic couplings in the inert models

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Auteurs principaux: Bandyopadhyay, Priyotosh, Robin, Pram Milan P.
Format: Preprint
Publié: 2025
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author Bandyopadhyay, Priyotosh
Robin, Pram Milan P.
author_facet Bandyopadhyay, Priyotosh
Robin, Pram Milan P.
contents In this article we consider three inert models, namely the inert singlet model (ISM), inert triplet model (ITM), and inert doublet model (IDM) as beyond Standard Model scenarios, and look into the running of the scalar quartic couplings at one- and two-loop levels. Interestingly, the Landau poles at one-loop and Fixed points at two-loop have been observed for these scenarios, very similar to the $ϕ^4$ theory, which is absent in the Standard Model. The role of Higgs portal couplings in attaining these features has been examined. For inert singlet and triplet models, the portal couplings give rise to terms without any residual phases, enhancing this Fixed point behaviour. In the case of the inert doublet model, $λ_{4,5}$ terms which have the residual phases, spoil this behaviour. Finally, we consider perturbative unitarity constraints to put limits on the scalar quartic couplings for various perturbativity scales in both one- and two-loop. Larger portal couplings, i.e. $\gsim 2$, get strong perturbative bounds as low as $10^{2-3}$ GeV.
format Preprint
id arxiv_https___arxiv_org_abs_2504_18086
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Fate of the scalar quartic couplings in the inert models
Bandyopadhyay, Priyotosh
Robin, Pram Milan P.
High Energy Physics - Phenomenology
In this article we consider three inert models, namely the inert singlet model (ISM), inert triplet model (ITM), and inert doublet model (IDM) as beyond Standard Model scenarios, and look into the running of the scalar quartic couplings at one- and two-loop levels. Interestingly, the Landau poles at one-loop and Fixed points at two-loop have been observed for these scenarios, very similar to the $ϕ^4$ theory, which is absent in the Standard Model. The role of Higgs portal couplings in attaining these features has been examined. For inert singlet and triplet models, the portal couplings give rise to terms without any residual phases, enhancing this Fixed point behaviour. In the case of the inert doublet model, $λ_{4,5}$ terms which have the residual phases, spoil this behaviour. Finally, we consider perturbative unitarity constraints to put limits on the scalar quartic couplings for various perturbativity scales in both one- and two-loop. Larger portal couplings, i.e. $\gsim 2$, get strong perturbative bounds as low as $10^{2-3}$ GeV.
title Fate of the scalar quartic couplings in the inert models
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2504.18086