Critical points in Palatini Higgs inflation with small non-minimal coupling
Abstract We investigate inflation driven by the Higgs boson in the Palatini formulation of General Relativity. Our analysis primarily focuses on a small non-minimal coupling of the Higgs field to gravity in the range 0 < ξ ≲ 1. We incorporate the renormalization group running of the relevant para...
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Language: | English |
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SpringerOpen
2024-03-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP03(2024)130 |
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author | Arthur Poisson Inar Timiryasov Sebastian Zell |
author_facet | Arthur Poisson Inar Timiryasov Sebastian Zell |
author_sort | Arthur Poisson |
collection | DOAJ |
description | Abstract We investigate inflation driven by the Higgs boson in the Palatini formulation of General Relativity. Our analysis primarily focuses on a small non-minimal coupling of the Higgs field to gravity in the range 0 < ξ ≲ 1. We incorporate the renormalization group running of the relevant parameters as computed within the Standard Model and allow for small corrections. In addition to ξ, our model features two tunable parameters: the low-energy value of the top Yukawa coupling and an effective jump of the Higgs self-interaction. Our results indicate that critical points leading to a large enhancement of the power spectrum can be produced. However, the observed amplitude of perturbations in the CMB cannot be matched within this setting. On the one hand, this makes it difficult to generate a sizable abundance of primordial black holes. On the other hand, our findings can be viewed as very positive since they provide further evidence that Palatini Higgs inflation has favourable high-energy properties due to robustness against quantum corrections. |
first_indexed | 2024-04-24T16:22:39Z |
format | Article |
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institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-04-24T16:22:39Z |
publishDate | 2024-03-01 |
publisher | SpringerOpen |
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series | Journal of High Energy Physics |
spelling | doaj.art-b1682322a2b34701ab5687cd835e578b2024-03-31T11:08:59ZengSpringerOpenJournal of High Energy Physics1029-84792024-03-012024314110.1007/JHEP03(2024)130Critical points in Palatini Higgs inflation with small non-minimal couplingArthur Poisson0Inar Timiryasov1Sebastian Zell2Institut d’Astrophysique de Paris, GReCO, UMR 7095 du CNRS et de Sorbonne UniversitéNiels Bohr Institute, University of CopenhagenCentre for Cosmology, Particle Physics and Phenomenology — CP3, Université catholique de LouvainAbstract We investigate inflation driven by the Higgs boson in the Palatini formulation of General Relativity. Our analysis primarily focuses on a small non-minimal coupling of the Higgs field to gravity in the range 0 < ξ ≲ 1. We incorporate the renormalization group running of the relevant parameters as computed within the Standard Model and allow for small corrections. In addition to ξ, our model features two tunable parameters: the low-energy value of the top Yukawa coupling and an effective jump of the Higgs self-interaction. Our results indicate that critical points leading to a large enhancement of the power spectrum can be produced. However, the observed amplitude of perturbations in the CMB cannot be matched within this setting. On the one hand, this makes it difficult to generate a sizable abundance of primordial black holes. On the other hand, our findings can be viewed as very positive since they provide further evidence that Palatini Higgs inflation has favourable high-energy properties due to robustness against quantum corrections.https://doi.org/10.1007/JHEP03(2024)130Classical Theories of GravityEarly Universe Particle PhysicsHiggs PropertiesRenormalization Group |
spellingShingle | Arthur Poisson Inar Timiryasov Sebastian Zell Critical points in Palatini Higgs inflation with small non-minimal coupling Journal of High Energy Physics Classical Theories of Gravity Early Universe Particle Physics Higgs Properties Renormalization Group |
title | Critical points in Palatini Higgs inflation with small non-minimal coupling |
title_full | Critical points in Palatini Higgs inflation with small non-minimal coupling |
title_fullStr | Critical points in Palatini Higgs inflation with small non-minimal coupling |
title_full_unstemmed | Critical points in Palatini Higgs inflation with small non-minimal coupling |
title_short | Critical points in Palatini Higgs inflation with small non-minimal coupling |
title_sort | critical points in palatini higgs inflation with small non minimal coupling |
topic | Classical Theories of Gravity Early Universe Particle Physics Higgs Properties Renormalization Group |
url | https://doi.org/10.1007/JHEP03(2024)130 |
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