Production of Primordial Black Holes in Improved E-Models of Inflation

E-type <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>-attractor models of single-field inflation were generalized further in order to accom...

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Main Authors: Daniel Frolovsky, Sergei V. Ketov
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/9/6/294
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author Daniel Frolovsky
Sergei V. Ketov
author_facet Daniel Frolovsky
Sergei V. Ketov
author_sort Daniel Frolovsky
collection DOAJ
description E-type <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>-attractor models of single-field inflation were generalized further in order to accommodate production of primordial black holes (PBHs) via adding a near-inflection point to the inflaton scalar potential at smaller scales, in good agreement with measurements of cosmic microwave background (CMB) radiation. A minimal number of new parameters were used but their fine-tuning was maximized in order to increase the possible masses of PBHs formed during an ultra-slow-roll phase, leading to a large enhancement in the power spectrum of scalar (curvature) perturbations by 6 or 7 orders of magnitude against the power spectrum of perturbations observed in CMB. It was found that extreme fine-tuning of the parameters in our models can lead to the formation of moon-sized PBHs, with masses of up to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mn>26</mn></msup></semantics></math></inline-formula> g, still in agreement with CMB observations. Quantum corrections are known to lead to the perturbative upper bound on the amplitude of large scalar perturbations responsible for PBH production. The quantum (one-loop) corrections in our models were found to be suppressed by one order of magnitude for PBHs with masses of approximately <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mn>19</mn></msup></semantics></math></inline-formula> g, which may form the whole dark matter in the Universe.
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spelling doaj.art-9c47a741fb634cb68b2aca83dc866c892023-11-18T12:57:23ZengMDPI AGUniverse2218-19972023-06-019629410.3390/universe9060294Production of Primordial Black Holes in Improved E-Models of InflationDaniel Frolovsky0Sergei V. Ketov1Interdisciplinary Research Laboratory, Tomsk State University, Tomsk 634050, RussiaInterdisciplinary Research Laboratory, Tomsk State University, Tomsk 634050, RussiaE-type <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>-attractor models of single-field inflation were generalized further in order to accommodate production of primordial black holes (PBHs) via adding a near-inflection point to the inflaton scalar potential at smaller scales, in good agreement with measurements of cosmic microwave background (CMB) radiation. A minimal number of new parameters were used but their fine-tuning was maximized in order to increase the possible masses of PBHs formed during an ultra-slow-roll phase, leading to a large enhancement in the power spectrum of scalar (curvature) perturbations by 6 or 7 orders of magnitude against the power spectrum of perturbations observed in CMB. It was found that extreme fine-tuning of the parameters in our models can lead to the formation of moon-sized PBHs, with masses of up to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mn>26</mn></msup></semantics></math></inline-formula> g, still in agreement with CMB observations. Quantum corrections are known to lead to the perturbative upper bound on the amplitude of large scalar perturbations responsible for PBH production. The quantum (one-loop) corrections in our models were found to be suppressed by one order of magnitude for PBHs with masses of approximately <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>10</mn><mn>19</mn></msup></semantics></math></inline-formula> g, which may form the whole dark matter in the Universe.https://www.mdpi.com/2218-1997/9/6/294inflationprimordial black holes
spellingShingle Daniel Frolovsky
Sergei V. Ketov
Production of Primordial Black Holes in Improved E-Models of Inflation
Universe
inflation
primordial black holes
title Production of Primordial Black Holes in Improved E-Models of Inflation
title_full Production of Primordial Black Holes in Improved E-Models of Inflation
title_fullStr Production of Primordial Black Holes in Improved E-Models of Inflation
title_full_unstemmed Production of Primordial Black Holes in Improved E-Models of Inflation
title_short Production of Primordial Black Holes in Improved E-Models of Inflation
title_sort production of primordial black holes in improved e models of inflation
topic inflation
primordial black holes
url https://www.mdpi.com/2218-1997/9/6/294
work_keys_str_mv AT danielfrolovsky productionofprimordialblackholesinimprovedemodelsofinflation
AT sergeivketov productionofprimordialblackholesinimprovedemodelsofinflation