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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-11-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-021-09735-z |
| _version_ | 1818754131725123584 |
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| 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 |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-18T05:18:23Z |
| format | Article |
| id | doaj.art-f4bc97a587d544298a9b5f3788ae9564 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-18T05:18:23Z |
| publishDate | 2021-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-f4bc97a587d544298a9b5f3788ae95642022-12-21T21:19:43ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-11-01811111810.1140/epjc/s10052-021-09735-zMinimal scenario of criticality for electroweak scale, neutrino masses, dark matter, and inflationYuta Hamada0Hikaru Kawai1Kiyoharu Kawana2Kin-ya Oda3Kei Yagyu4Department of Physics, Harvard UniversityDepartment of Physics and Center for Theoretical Physics, National Taiwan UniversityDepartment of Physics and Astronomy, Center for Theoretical Physics, Seoul National UniversityDepartment of Physics, Osaka UniversityDepartment of Physics, Osaka UniversityAbstract 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.https://doi.org/10.1140/epjc/s10052-021-09735-z |
| spellingShingle | Yuta Hamada Hikaru Kawai Kiyoharu Kawana Kin-ya Oda Kei Yagyu Minimal scenario of criticality for electroweak scale, neutrino masses, dark matter, and inflation European Physical Journal C: Particles and Fields |
| title | 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_short | 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 |
| url | https://doi.org/10.1140/epjc/s10052-021-09735-z |
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