Quantum corrections to Higgs inflation in Einstein-Cartan gravity

Abstract This paper studies the quantum corrections to the Higgs inflation model in the context of the Einstein-Cartan (E-C) gravity in the large-N limit with N being the number of real scalar components in Higgs. Recently, it is realized that the Higgs inflation in the E-C formalism smoothly connec...

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Main Authors: Minxi He, Kohei Kamada, Kyohei Mukaida
Format: Article
Language:English
Published: SpringerOpen 2024-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2024)014
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author Minxi He
Kohei Kamada
Kyohei Mukaida
author_facet Minxi He
Kohei Kamada
Kyohei Mukaida
author_sort Minxi He
collection DOAJ
description Abstract This paper studies the quantum corrections to the Higgs inflation model in the context of the Einstein-Cartan (E-C) gravity in the large-N limit with N being the number of real scalar components in Higgs. Recently, it is realized that the Higgs inflation in the E-C formalism smoothly connects those in the metric and the Palatini formalisms in the presence of a non-minimal coupling between the Higgs fields and the Nieh-Yan term. This motivates us to investigate the quantum corrections in large-N limit to the E-C Higgs inflation and to clarify how the Ricci curvature squared R 2 induced by the quantum corrections succeeds in Ultraviolet (UV)-extending the Higgs inflation in metric formalism while it fails in the Palatini case. We show that a generalized R 2-term required for the renormalization in the E-C formalism induces a new scalar degree of freedom (DoF), the scalaron, which gradually decouples with the system due to its increasing mass as approaching the Palatini limit. The presence of the scalaron extends the UV cutoff at vacuum of the original model except for the parameter space close to the Palatini limit. This UV-extension is expected to solve the strong coupling problem that may exist during (p)reheating in the absence of the scalaron.
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spelling doaj.art-16e68d8f5aff4f6dafe469b00d99eebf2024-01-07T12:05:49ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024113410.1007/JHEP01(2024)014Quantum corrections to Higgs inflation in Einstein-Cartan gravityMinxi He0Kohei Kamada1Kyohei Mukaida2Theory Center, IPNS, KEKSchool of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences (HIAS-UCAS)Theory Center, IPNS, KEKAbstract This paper studies the quantum corrections to the Higgs inflation model in the context of the Einstein-Cartan (E-C) gravity in the large-N limit with N being the number of real scalar components in Higgs. Recently, it is realized that the Higgs inflation in the E-C formalism smoothly connects those in the metric and the Palatini formalisms in the presence of a non-minimal coupling between the Higgs fields and the Nieh-Yan term. This motivates us to investigate the quantum corrections in large-N limit to the E-C Higgs inflation and to clarify how the Ricci curvature squared R 2 induced by the quantum corrections succeeds in Ultraviolet (UV)-extending the Higgs inflation in metric formalism while it fails in the Palatini case. We show that a generalized R 2-term required for the renormalization in the E-C formalism induces a new scalar degree of freedom (DoF), the scalaron, which gradually decouples with the system due to its increasing mass as approaching the Palatini limit. The presence of the scalaron extends the UV cutoff at vacuum of the original model except for the parameter space close to the Palatini limit. This UV-extension is expected to solve the strong coupling problem that may exist during (p)reheating in the absence of the scalaron.https://doi.org/10.1007/JHEP01(2024)014Cosmological modelsEarly Universe Particle PhysicsEffective Field TheoriesScattering Amplitudes
spellingShingle Minxi He
Kohei Kamada
Kyohei Mukaida
Quantum corrections to Higgs inflation in Einstein-Cartan gravity
Journal of High Energy Physics
Cosmological models
Early Universe Particle Physics
Effective Field Theories
Scattering Amplitudes
title Quantum corrections to Higgs inflation in Einstein-Cartan gravity
title_full Quantum corrections to Higgs inflation in Einstein-Cartan gravity
title_fullStr Quantum corrections to Higgs inflation in Einstein-Cartan gravity
title_full_unstemmed Quantum corrections to Higgs inflation in Einstein-Cartan gravity
title_short Quantum corrections to Higgs inflation in Einstein-Cartan gravity
title_sort quantum corrections to higgs inflation in einstein cartan gravity
topic Cosmological models
Early Universe Particle Physics
Effective Field Theories
Scattering Amplitudes
url https://doi.org/10.1007/JHEP01(2024)014
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