Instability of the electroweak vacuum in Starobinsky inflation
Abstract We study the stability of the electroweak vacuum during and after the Starobinky inflation, assuming the existence of the non-minimal Higgs coupling to the Ricci scalar. In the Starobinsky inflation, there exists R 2 term (with R being the Ricci scalar), which modifies the evolution equatio...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)102 |
| _version_ | 1797995464637808640 |
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| author | Qiang Li Takeo Moroi Kazunori Nakayama Wen Yin |
| author_facet | Qiang Li Takeo Moroi Kazunori Nakayama Wen Yin |
| author_sort | Qiang Li |
| collection | DOAJ |
| description | Abstract We study the stability of the electroweak vacuum during and after the Starobinky inflation, assuming the existence of the non-minimal Higgs coupling to the Ricci scalar. In the Starobinsky inflation, there exists R 2 term (with R being the Ricci scalar), which modifies the evolution equation of the Higgs field. We consider the case that the non-minimal coupling is sizable so that the quantum fluctuation of the Higgs field is suppressed and that the Higgs amplitude is settled near the origin during the inflation. In such a case, the Higgs amplitude may be amplified in the preheating epoch after inflation because of the parametric resonance due to the non-minimal coupling. We perform a detailed analysis of the evolution of the Higgs field in the preheating epoch by a numerical lattice simulation and derive an upper bound on the non-minimal coupling constant ξ in order to realize the electroweak vacuum in the present universe. We find that the upper bound on ξ in the Starobinsky inflation model is more stringent than that in conventional inflation models without the R 2 term. |
| first_indexed | 2024-04-11T10:01:50Z |
| format | Article |
| id | doaj.art-8221522d20d64ad0b04b20340e3d6553 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T10:01:50Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8221522d20d64ad0b04b20340e3d65532022-12-22T04:30:22ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022912110.1007/JHEP09(2022)102Instability of the electroweak vacuum in Starobinsky inflationQiang Li0Takeo Moroi1Kazunori Nakayama2Wen Yin3Department of Physics, The University of TokyoDepartment of Physics, The University of TokyoDepartment of Physics, Tohoku UniversityDepartment of Physics, Tohoku UniversityAbstract We study the stability of the electroweak vacuum during and after the Starobinky inflation, assuming the existence of the non-minimal Higgs coupling to the Ricci scalar. In the Starobinsky inflation, there exists R 2 term (with R being the Ricci scalar), which modifies the evolution equation of the Higgs field. We consider the case that the non-minimal coupling is sizable so that the quantum fluctuation of the Higgs field is suppressed and that the Higgs amplitude is settled near the origin during the inflation. In such a case, the Higgs amplitude may be amplified in the preheating epoch after inflation because of the parametric resonance due to the non-minimal coupling. We perform a detailed analysis of the evolution of the Higgs field in the preheating epoch by a numerical lattice simulation and derive an upper bound on the non-minimal coupling constant ξ in order to realize the electroweak vacuum in the present universe. We find that the upper bound on ξ in the Starobinsky inflation model is more stringent than that in conventional inflation models without the R 2 term.https://doi.org/10.1007/JHEP09(2022)102Cosmology of Theories BSMEarly Universe Particle PhysicsHiggs Properties |
| spellingShingle | Qiang Li Takeo Moroi Kazunori Nakayama Wen Yin Instability of the electroweak vacuum in Starobinsky inflation Journal of High Energy Physics Cosmology of Theories BSM Early Universe Particle Physics Higgs Properties |
| title | Instability of the electroweak vacuum in Starobinsky inflation |
| title_full | Instability of the electroweak vacuum in Starobinsky inflation |
| title_fullStr | Instability of the electroweak vacuum in Starobinsky inflation |
| title_full_unstemmed | Instability of the electroweak vacuum in Starobinsky inflation |
| title_short | Instability of the electroweak vacuum in Starobinsky inflation |
| title_sort | instability of the electroweak vacuum in starobinsky inflation |
| topic | Cosmology of Theories BSM Early Universe Particle Physics Higgs Properties |
| url | https://doi.org/10.1007/JHEP09(2022)102 |
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