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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Main Authors: Arthur Poisson, Inar Timiryasov, Sebastian Zell
Format: Article
Language:English
Published: SpringerOpen 2024-03-01
Series:Journal of High Energy Physics
Subjects:
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.
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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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