A Note on the Abundance of Primordial Black Holes: Use and Misuse of the
Metric Curvature Perturbation
V. De Luca, and A. Riotto. (2022)cite arxiv:2201.09008Comment: 13 pages, 1 figure.
Abstract
The formation of Primordial Black Holes (PBHs) through the collapse of large
fluctuations in the early universe is a rare event. This manifests itself, for
instance, through the non-Gaussian tail of the probability of the curvature
perturbation, which is frequently adopted to calculate the abundance of PBHs.
In this note we emphasize that its use does not provide the correct PBH
formation probability. Through a path-integral approach we show that the exact
calculation of the PBH abundance demands the knowledge of multivariate joint
probabilities of the curvature perturbation or, equivalently, of all the
corresponding connected correlators.
Description
A Note on the Abundance of Primordial Black Holes: Use and Misuse of the Metric Curvature Perturbation
%0 Generic
%1 deluca2022abundance
%A De Luca, V.
%A Riotto, A.
%D 2022
%K tifr
%T A Note on the Abundance of Primordial Black Holes: Use and Misuse of the
Metric Curvature Perturbation
%U http://arxiv.org/abs/2201.09008
%X The formation of Primordial Black Holes (PBHs) through the collapse of large
fluctuations in the early universe is a rare event. This manifests itself, for
instance, through the non-Gaussian tail of the probability of the curvature
perturbation, which is frequently adopted to calculate the abundance of PBHs.
In this note we emphasize that its use does not provide the correct PBH
formation probability. Through a path-integral approach we show that the exact
calculation of the PBH abundance demands the knowledge of multivariate joint
probabilities of the curvature perturbation or, equivalently, of all the
corresponding connected correlators.
@misc{deluca2022abundance,
abstract = {The formation of Primordial Black Holes (PBHs) through the collapse of large
fluctuations in the early universe is a rare event. This manifests itself, for
instance, through the non-Gaussian tail of the probability of the curvature
perturbation, which is frequently adopted to calculate the abundance of PBHs.
In this note we emphasize that its use does not provide the correct PBH
formation probability. Through a path-integral approach we show that the exact
calculation of the PBH abundance demands the knowledge of multivariate joint
probabilities of the curvature perturbation or, equivalently, of all the
corresponding connected correlators.},
added-at = {2022-01-25T06:09:43.000+0100},
author = {De Luca, V. and Riotto, A.},
biburl = {https://www.bibsonomy.org/bibtex/2ab541f6f90266321eb6692e50bb34f0b/citekhatri},
description = {A Note on the Abundance of Primordial Black Holes: Use and Misuse of the Metric Curvature Perturbation},
interhash = {5793e7c1768a184e3d2bc768b4e89772},
intrahash = {ab541f6f90266321eb6692e50bb34f0b},
keywords = {tifr},
note = {cite arxiv:2201.09008Comment: 13 pages, 1 figure},
timestamp = {2022-01-25T06:09:43.000+0100},
title = {A Note on the Abundance of Primordial Black Holes: Use and Misuse of the
Metric Curvature Perturbation},
url = {http://arxiv.org/abs/2201.09008},
year = 2022
}