Higgs inflation at the pole

Abstract We propose a novel possibility for Higgs inflation where the perturbative unitarity below the Planck scale is ensured by construction and the successful predictions for inflation are accommodated. The conformal gravity coupling for the Higgs field leads to the proximity of the effective Pla...

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Main Authors: Simon Cléry, Hyun Min Lee, Adriana G. Menkara
Format: Article
Language:English
Published: SpringerOpen 2023-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP10(2023)144
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author Simon Cléry
Hyun Min Lee
Adriana G. Menkara
author_facet Simon Cléry
Hyun Min Lee
Adriana G. Menkara
author_sort Simon Cléry
collection DOAJ
description Abstract We propose a novel possibility for Higgs inflation where the perturbative unitarity below the Planck scale is ensured by construction and the successful predictions for inflation are accommodated. The conformal gravity coupling for the Higgs field leads to the proximity of the effective Planck mass to zero in the Jordan frame during inflation, corresponding to a pole in the Higgs kinetic term in the Einstein frame. Requiring the Higgs potential to vanish at the conformal pole in the effective theory in the Jordan frame, we make a robust prediction of the successful Higgs inflation. For a successful Higgs inflation at the pole, we take the running quartic coupling for the Higgs field to be small enough at the inflation scale, being consistent with the low-energy data, but we need a nontrivial extension of the SM with extra scalar or gauge fields in order to keep the running Higgs quartic coupling small during inflation. Performing the perturbative analysis of reheating with the known couplings of the SM particles to the Higgs boson, we show that a concrete realization of the Higgs pole inflation can be pinned down by the reheating processes with a general equation of state for the Higgs inflaton. We illustrate some extensions of the simple Higgs pole inflation to the general pole expansions, the running Higgs quartic coupling in the Standard Model and its extension with a singlet scalar field, a supergravity embedding of the Higgs pole inflation.
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spelling doaj.art-79eaac60ded44e6aa525c561485bec3d2024-01-28T12:13:22ZengSpringerOpenJournal of High Energy Physics1029-84792023-10-0120231012510.1007/JHEP10(2023)144Higgs inflation at the poleSimon Cléry0Hyun Min Lee1Adriana G. Menkara2Université Paris-Saclay, CNRS/IN2P3, IJCLabDepartment of Physics, Chung-Ang UniversityDepartment of Physics, Chung-Ang UniversityAbstract We propose a novel possibility for Higgs inflation where the perturbative unitarity below the Planck scale is ensured by construction and the successful predictions for inflation are accommodated. The conformal gravity coupling for the Higgs field leads to the proximity of the effective Planck mass to zero in the Jordan frame during inflation, corresponding to a pole in the Higgs kinetic term in the Einstein frame. Requiring the Higgs potential to vanish at the conformal pole in the effective theory in the Jordan frame, we make a robust prediction of the successful Higgs inflation. For a successful Higgs inflation at the pole, we take the running quartic coupling for the Higgs field to be small enough at the inflation scale, being consistent with the low-energy data, but we need a nontrivial extension of the SM with extra scalar or gauge fields in order to keep the running Higgs quartic coupling small during inflation. Performing the perturbative analysis of reheating with the known couplings of the SM particles to the Higgs boson, we show that a concrete realization of the Higgs pole inflation can be pinned down by the reheating processes with a general equation of state for the Higgs inflaton. We illustrate some extensions of the simple Higgs pole inflation to the general pole expansions, the running Higgs quartic coupling in the Standard Model and its extension with a singlet scalar field, a supergravity embedding of the Higgs pole inflation.https://doi.org/10.1007/JHEP10(2023)144Cosmology of Theories BSMEarly Universe Particle PhysicsEffective Field TheoriesHiggs Properties
spellingShingle Simon Cléry
Hyun Min Lee
Adriana G. Menkara
Higgs inflation at the pole
Journal of High Energy Physics
Cosmology of Theories BSM
Early Universe Particle Physics
Effective Field Theories
Higgs Properties
title Higgs inflation at the pole
title_full Higgs inflation at the pole
title_fullStr Higgs inflation at the pole
title_full_unstemmed Higgs inflation at the pole
title_short Higgs inflation at the pole
title_sort higgs inflation at the pole
topic Cosmology of Theories BSM
Early Universe Particle Physics
Effective Field Theories
Higgs Properties
url https://doi.org/10.1007/JHEP10(2023)144
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