Initial conditions for critical Higgs inflation

It has been pointed out that a large non-minimal coupling ξ between the Higgs and the Ricci scalar can source higher derivative operators, which may change the predictions of Higgs inflation. A variant, called critical Higgs inflation, employs the near-criticality of the top mass to introduce an inf...

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Main Author: Alberto Salvio
Format: Article
Language:English
Published: Elsevier 2018-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318301965
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author Alberto Salvio
author_facet Alberto Salvio
author_sort Alberto Salvio
collection DOAJ
description It has been pointed out that a large non-minimal coupling ξ between the Higgs and the Ricci scalar can source higher derivative operators, which may change the predictions of Higgs inflation. A variant, called critical Higgs inflation, employs the near-criticality of the top mass to introduce an inflection point in the potential and lower drastically the value of ξ. We here study whether critical Higgs inflation can occur even if the pre-inflationary initial conditions do not satisfy the slow-roll behavior (retaining translation and rotation symmetries). A positive answer is found: inflation turns out to be an attractor and therefore no fine-tuning of the initial conditions is necessary. A very large initial Higgs time-derivative (as compared to the potential energy density) is compensated by a moderate increase in the initial field value. These conclusions are reached by solving the exact Higgs equation without using the slow-roll approximation. This also allows us to consistently treat the inflection point, where the standard slow-roll approximation breaks down. Here we make use of an approach that is independent of the UV completion of gravity, by taking initial conditions that always involve sub-planckian energies. Keywords: Inflation, Higgs boson, Standard Model
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spelling doaj.art-c12f2efaaef14b0597b61cede77fc51d2022-12-22T01:15:14ZengElsevierPhysics Letters B0370-26932018-05-01780111117Initial conditions for critical Higgs inflationAlberto Salvio0CERN, Theoretical Physics Department, Geneva, SwitzerlandIt has been pointed out that a large non-minimal coupling ξ between the Higgs and the Ricci scalar can source higher derivative operators, which may change the predictions of Higgs inflation. A variant, called critical Higgs inflation, employs the near-criticality of the top mass to introduce an inflection point in the potential and lower drastically the value of ξ. We here study whether critical Higgs inflation can occur even if the pre-inflationary initial conditions do not satisfy the slow-roll behavior (retaining translation and rotation symmetries). A positive answer is found: inflation turns out to be an attractor and therefore no fine-tuning of the initial conditions is necessary. A very large initial Higgs time-derivative (as compared to the potential energy density) is compensated by a moderate increase in the initial field value. These conclusions are reached by solving the exact Higgs equation without using the slow-roll approximation. This also allows us to consistently treat the inflection point, where the standard slow-roll approximation breaks down. Here we make use of an approach that is independent of the UV completion of gravity, by taking initial conditions that always involve sub-planckian energies. Keywords: Inflation, Higgs boson, Standard Modelhttp://www.sciencedirect.com/science/article/pii/S0370269318301965
spellingShingle Alberto Salvio
Initial conditions for critical Higgs inflation
Physics Letters B
title Initial conditions for critical Higgs inflation
title_full Initial conditions for critical Higgs inflation
title_fullStr Initial conditions for critical Higgs inflation
title_full_unstemmed Initial conditions for critical Higgs inflation
title_short Initial conditions for critical Higgs inflation
title_sort initial conditions for critical higgs inflation
url http://www.sciencedirect.com/science/article/pii/S0370269318301965
work_keys_str_mv AT albertosalvio initialconditionsforcriticalhiggsinflation