Minimal scenario of criticality for electroweak scale, neutrino masses, dark matter, and inflation

Abstract We propose a minimal model that can explain the electroweak scale, neutrino masses, Dark Matter (DM), and successful inflation all at once based on the multicritical-point principle (MPP). The model has two singlet scalar fields that realize an analogue of the Coleman–Weinberg mechanism, in...

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Autores principales: Yuta Hamada, Hikaru Kawai, Kiyoharu Kawana, Kin-ya Oda, Kei Yagyu
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Publicado: SpringerOpen 2021
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spelling oai:doaj.org-article:f4bc97a587d544298a9b5f3788ae95642021-11-08T10:43:21ZMinimal scenario of criticality for electroweak scale, neutrino masses, dark matter, and inflation10.1140/epjc/s10052-021-09735-z1434-60441434-6052https://doaj.org/article/f4bc97a587d544298a9b5f3788ae95642021-11-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09735-zhttps://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract We propose a minimal model that can explain the electroweak scale, neutrino masses, Dark Matter (DM), and successful inflation all at once based on the multicritical-point principle (MPP). The model has two singlet scalar fields that realize an analogue of the Coleman–Weinberg mechanism, in addition to the Standard Model with heavy Majorana right-handed neutrinos. By assuming a $$Z_2 $$ Z 2 symmetry, one of the scalars becomes a DM candidate whose property is almost the same as the minimal Higgs-portal scalar DM. In this model, the MPP can naturally realize a saddle point in the Higgs potential at high energy scales. By the renormalization-group analysis, we study the critical Higgs inflation with non-minimal coupling $$\xi |H|^2 R$$ ξ | H | 2 R that utilizes the saddle point of the Higgs potential. We find that it is possible to realize successful inflation even for $$\xi =25$$ ξ = 25 and that the heaviest right-handed neutrino is predicted to have a mass around $$10^{14}$$ 10 14 $$\mathrm{GeV}$$ GeV to meet the current cosmological observations. Such a small value of $$\xi $$ ξ can be realized by the Higgs-portal coupling $$\lambda _{SH}\simeq 0.32$$ λ SH ≃ 0.32 and the vacuum expectation value of the additional neutral scalar $$\langle \phi \rangle \simeq 2.7$$ ⟨ ϕ ⟩ ≃ 2.7  TeV, which correspond to the dark matter mass 2.0 TeV, its spin-independent cross section $$1.8\times 10^{-9}$$ 1.8 × 10 - 9  pb, and the mass of additional neutral scalar 190 GeV.Yuta HamadaHikaru KawaiKiyoharu KawanaKin-ya OdaKei YagyuSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-18 (2021)
institution DOAJ
collection DOAJ
language EN
topic Astrophysics
QB460-466
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
spellingShingle Astrophysics
QB460-466
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
Yuta Hamada
Hikaru Kawai
Kiyoharu Kawana
Kin-ya Oda
Kei Yagyu
Minimal scenario of criticality for electroweak scale, neutrino masses, dark matter, and inflation
description Abstract We propose a minimal model that can explain the electroweak scale, neutrino masses, Dark Matter (DM), and successful inflation all at once based on the multicritical-point principle (MPP). The model has two singlet scalar fields that realize an analogue of the Coleman–Weinberg mechanism, in addition to the Standard Model with heavy Majorana right-handed neutrinos. By assuming a $$Z_2 $$ Z 2 symmetry, one of the scalars becomes a DM candidate whose property is almost the same as the minimal Higgs-portal scalar DM. In this model, the MPP can naturally realize a saddle point in the Higgs potential at high energy scales. By the renormalization-group analysis, we study the critical Higgs inflation with non-minimal coupling $$\xi |H|^2 R$$ ξ | H | 2 R that utilizes the saddle point of the Higgs potential. We find that it is possible to realize successful inflation even for $$\xi =25$$ ξ = 25 and that the heaviest right-handed neutrino is predicted to have a mass around $$10^{14}$$ 10 14 $$\mathrm{GeV}$$ GeV to meet the current cosmological observations. Such a small value of $$\xi $$ ξ can be realized by the Higgs-portal coupling $$\lambda _{SH}\simeq 0.32$$ λ SH ≃ 0.32 and the vacuum expectation value of the additional neutral scalar $$\langle \phi \rangle \simeq 2.7$$ ⟨ ϕ ⟩ ≃ 2.7  TeV, which correspond to the dark matter mass 2.0 TeV, its spin-independent cross section $$1.8\times 10^{-9}$$ 1.8 × 10 - 9  pb, and the mass of additional neutral scalar 190 GeV.
format article
author Yuta Hamada
Hikaru Kawai
Kiyoharu Kawana
Kin-ya Oda
Kei Yagyu
author_facet Yuta Hamada
Hikaru Kawai
Kiyoharu Kawana
Kin-ya Oda
Kei Yagyu
author_sort Yuta Hamada
title Minimal scenario of criticality for electroweak scale, neutrino masses, dark matter, and inflation
title_short Minimal scenario of criticality for electroweak scale, neutrino masses, dark matter, and inflation
title_full Minimal scenario of criticality for electroweak scale, neutrino masses, dark matter, and inflation
title_fullStr Minimal scenario of criticality for electroweak scale, neutrino masses, dark matter, and inflation
title_full_unstemmed Minimal scenario of criticality for electroweak scale, neutrino masses, dark matter, and inflation
title_sort minimal scenario of criticality for electroweak scale, neutrino masses, dark matter, and inflation
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/f4bc97a587d544298a9b5f3788ae9564
work_keys_str_mv AT yutahamada minimalscenarioofcriticalityforelectroweakscaleneutrinomassesdarkmatterandinflation
AT hikarukawai minimalscenarioofcriticalityforelectroweakscaleneutrinomassesdarkmatterandinflation
AT kiyoharukawana minimalscenarioofcriticalityforelectroweakscaleneutrinomassesdarkmatterandinflation
AT kinyaoda minimalscenarioofcriticalityforelectroweakscaleneutrinomassesdarkmatterandinflation
AT keiyagyu minimalscenarioofcriticalityforelectroweakscaleneutrinomassesdarkmatterandinflation
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