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The Ineludible non-Gaussianity of the Primordial Black Hole Abundance

We study the formation of primordial black holes when they are generated by the collapse of large overdensities in the early universe. Since the density contrast is related to the comoving curvature perturbation by a nonlinear relation, the overdensity statistics is unavoidably non-Gaussian. We show...

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Detalles Bibliográficos
Autores principales: De Luca, V., Franciolini, G., Kehagias, A., Peloso, M., Riotto, A., Ünal, C.
Lenguaje:eng
Publicado: 2019
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1475-7516/2019/07/048
http://cds.cern.ch/record/2687429
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author De Luca, V.
Franciolini, G.
Kehagias, A.
Peloso, M.
Riotto, A.
Ünal, C.
author_facet De Luca, V.
Franciolini, G.
Kehagias, A.
Peloso, M.
Riotto, A.
Ünal, C.
author_sort De Luca, V.
collection CERN
description We study the formation of primordial black holes when they are generated by the collapse of large overdensities in the early universe. Since the density contrast is related to the comoving curvature perturbation by a nonlinear relation, the overdensity statistics is unavoidably non-Gaussian. We show that the abundance of primordial black holes at formation may not be captured by a perturbative approach which retains the first few cumulants of the non-Gaussian probability distribution. We provide two techniques to calculate the non-Gaussian abundance of primordial black holes at formation, one based on peak theory and the other on threshold statistics. Our results show that the unavoidable non-Gaussian nature of the inhomogeneities in the energy density makes it harder to generate PBHs. We provide simple (semi-)analytical expressions to calculate the non-Gaussian abundances of the primordial black holes and show that for both narrow and broad power spectra the gaussian case from threshold statistics is reproduced by increasing the amplitude of the power spectrum by a factor &calO;(2÷ 3).
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2019
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spelling cern-26874292023-10-04T07:37:32Zdoi:10.1088/1475-7516/2019/07/048doi:10.1088/1475-7516/2019/07/048http://cds.cern.ch/record/2687429engDe Luca, V.Franciolini, G.Kehagias, A.Peloso, M.Riotto, A.Ünal, C.The Ineludible non-Gaussianity of the Primordial Black Hole Abundancehep-thParticle Physics - Theoryhep-phParticle Physics - Phenomenologygr-qcGeneral Relativity and Cosmologyastro-ph.COAstrophysics and AstronomyWe study the formation of primordial black holes when they are generated by the collapse of large overdensities in the early universe. Since the density contrast is related to the comoving curvature perturbation by a nonlinear relation, the overdensity statistics is unavoidably non-Gaussian. We show that the abundance of primordial black holes at formation may not be captured by a perturbative approach which retains the first few cumulants of the non-Gaussian probability distribution. We provide two techniques to calculate the non-Gaussian abundance of primordial black holes at formation, one based on peak theory and the other on threshold statistics. Our results show that the unavoidable non-Gaussian nature of the inhomogeneities in the energy density makes it harder to generate PBHs. We provide simple (semi-)analytical expressions to calculate the non-Gaussian abundances of the primordial black holes and show that for both narrow and broad power spectra the gaussian case from threshold statistics is reproduced by increasing the amplitude of the power spectrum by a factor &calO;(2÷ 3).We study the formation of primordial black holes when they are generated by the collapse of large overdensities in the early universe. Since the density contrast is related to the comoving curvature perturbation by a nonlinear relation, the overdensity statistics is unavoidably non-Gaussian. We show that the abundance of primordial black holes at formation may not be captured by a perturbative approach which retains the first few cumulants of the non-Gaussian probability distribution. We provide two techniques to calculate the non-Gaussian abundance of primordial black holes at formation, one based on peak theory and the other on threshold statistics. Our results show that the unavoidable non-Gaussian nature of the inhomogeneities in the energy density makes it harder to generate PBHs. We provide simple (semi-)analytical expressions to calculate the non-Gaussian abundances of the primordial black holes and show that for both narrow and broad power spectra the gaussian case from threshold statistics is reproduced by increasing the amplitude of the power spectrum by a factor ${\cal O}(2\div 3)$.arXiv:1904.00970oai:cds.cern.ch:26874292019-04-01
spellingShingle hep-th
Particle Physics - Theory
hep-ph
Particle Physics - Phenomenology
gr-qc
General Relativity and Cosmology
astro-ph.CO
Astrophysics and Astronomy
De Luca, V.
Franciolini, G.
Kehagias, A.
Peloso, M.
Riotto, A.
Ünal, C.
The Ineludible non-Gaussianity of the Primordial Black Hole Abundance
title The Ineludible non-Gaussianity of the Primordial Black Hole Abundance
title_full The Ineludible non-Gaussianity of the Primordial Black Hole Abundance
title_fullStr The Ineludible non-Gaussianity of the Primordial Black Hole Abundance
title_full_unstemmed The Ineludible non-Gaussianity of the Primordial Black Hole Abundance
title_short The Ineludible non-Gaussianity of the Primordial Black Hole Abundance
title_sort ineludible non-gaussianity of the primordial black hole abundance
topic hep-th
Particle Physics - Theory
hep-ph
Particle Physics - Phenomenology
gr-qc
General Relativity and Cosmology
astro-ph.CO
Astrophysics and Astronomy
url https://dx.doi.org/10.1088/1475-7516/2019/07/048
https://dx.doi.org/10.1088/1475-7516/2019/07/048
http://cds.cern.ch/record/2687429
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