Primordial black holes from inflation and non-Gaussianity

By G. Franciolini, A. Kehagias, S. Matarrese, A. Riotto. 2018

208 citations recorded by the source corpus.

Primordial black holes may owe their origin to the small-scale enhancement of the comoving curvature perturbation generated during inflation. Their mass fraction at formation is markedly sensitive to possible non-Gaussianities in such large, but rare fluctuations. We discuss a path-integral formulation which provides the exact mass fraction of primordial black holes at formation in the presence of non-Gaussianity. Through a couple of classes of models, one based on single-field inflation and the other on spectator fields, we show that restricting to a Gaussian statistics may lead to severe inaccuracies in the estimate of the mass fraction as well as on the clustering properties of the primordial black holes.

Subfields: Astronomy and Astrophysics, Oceanography

View Paper: https://www.semanticscholar.org/paper/d2511b7cc21c6d2fc1e50f052913da76dd1c56c5

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Juan García-Bellido
2. V. Vennin
3. J. Ezquiaga
4. C. Byrnes
5. B. Carr
6. A. Kehagias
7. R. Cai
8. A. Riotto

In Oceanography

1. Zongkuan Guo
2. V. Vennin
3. Juan García-Bellido
4. Marco Peloso
5. A. Kehagias
6. A. Riotto
7. A. Starobinsky
8. J. Ezquiaga

Citations in the corpus

• A Brief Review on Primordial Black Holes as Dark Matter (2021, background): “On the other hand, the assumption of a Gaussian distribution may not be consistent with enhanced fluctuations and the presence of PBHs, so deviations are unavoidable (Franciolini et al., 2018; De Luca et al., 2019b) [except for specific inflationmodels presenting an inflection point Atal and Germani”
• Primordial black holes and gravitational waves from parametric amplification of curvature perturbations (2019, methodology): “However, using the method of [77], we confirmed the nonGaussianity does not affect the mass function for the parameters we used.”
• The ineludible non-Gaussianity of the primordial black hole abundance (2019, methodology): “[24] we may define the fine-tuning ∆n to be the response of the PBH abundance to the introduction of the n-th cumulant as”
• Generating PBHs and small-scale GWs in two-field models of inflation (2020, background): “It is well known that non-Gaussianity strongly affect the primordial abundance of PBHs [113–119] and the SBGW [120].”
• Primordial black holes from string inflation (2018, background): “(9)See [66] for the case when non-Gaussianity effects cannot be neglected.”
• Primordial black hole formation and abundance: contribution from the non-linear relation between the density and curvature perturbation (2019, background): “Even when taking ultra slow roll inflation into account, it remains uncertain whether the non-Gaussianity can have a relevant effect [43–46] unless the inflaton field has a non-canonical kinetic term [47–50].”
• The exponential tail of inflationary fluctuations: consequences for primordial black holes (2019, background): “Non-Gaussianities may therefore play a crucial role in determining the abundance of PBHs [37–50] and, in this work, we provide a generic, non-perturbative framework to derive the tails of the PDFs of curvature perturbations.”