2021
DOI: 10.1088/1475-7516/2021/10/053
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Primordial black holes in peak theory with a non-Gaussian tail

Abstract: In this paper, we update the peak theory for the estimation of the primordial black hole (PBH) abundance, particularly by implementing the critical behavior in the estimation of the PBH mass and employing the averaged compaction function for the PBH formation criterion to relax the profile dependence. We apply our peak theory to a specific non-Gaussian feature called the exponential tail, which is characteristic in ultra slow-roll models of inflation. With this type of non-Gaussianity, the probability of a lar… Show more

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Cited by 56 publications
(92 citation statements)
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“…Although it goes beyond the scope of the review, we should mention that one could also consider the effect of the inclusion of non-Gaussianities in Equation ( 81), which can have important consequences for the PBH abundance estimation. There are vast and extensive works that consider its impact on the thresholds and PBH abundances [103,107,108,[180][181][182][183][184][185][186][187][188][189][190][191][192][193][194][195], including some of them that have used numerical simulations following the basics shown in this review [196,197].…”
Section: Curvature Fluctuationsmentioning
confidence: 99%
“…Although it goes beyond the scope of the review, we should mention that one could also consider the effect of the inclusion of non-Gaussianities in Equation ( 81), which can have important consequences for the PBH abundance estimation. There are vast and extensive works that consider its impact on the thresholds and PBH abundances [103,107,108,[180][181][182][183][184][185][186][187][188][189][190][191][192][193][194][195], including some of them that have used numerical simulations following the basics shown in this review [196,197].…”
Section: Curvature Fluctuationsmentioning
confidence: 99%
“…For the effects of non-Gaussianities, see e.g., Refs. (Young & Byrnes 2013;Franciolini et al 2018;Atal & Germani 2019;De Luca et al 2019;Yoo et al 2019;Ezquiaga et al 2020;Kitajima et al 2021).…”
Section: Primordial Black Hole Modelsmentioning
confidence: 99%
“…Particularly in the so-called peak theory, the typical profile of high peaks of the curvature fluctuation (and thus whether a PBH is formed or not) can be statistically discussed with the power spectrum if the curvature field follows the Gaussian statistics. However if the curvature fluctuation shows non-Gaussianity, the PBH abundance is expected to change substantially [1,50,54,55,[63][64][65][66][67][68][69][70][71][72][73][74][75][76]. 1 Recently, Ref.…”
Section: Introductionmentioning
confidence: 99%
“…However if the curvature fluctuation shows non-Gaussianity, the PBH abundance is expected to change substantially [1,50,54,55,[63][64][65][66][67][68][69][70][71][72][73][74][75][76]. 1 Recently, Ref. [1] studied the case of the local-type non-Gaussianity (parametrised, e.g., by the non-linearity parameter f NL ), making the direct use of the critical averaged compaction function (i.e., without the fitting formula by the q parameter).…”
Section: Introductionmentioning
confidence: 99%
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