The effect of non-Gaussian curvature perturbations on the formation of primordial black holes

TL;DR

This paper investigates how non-Gaussian curvature perturbations influence primordial black hole formation, deriving new bounds on perturbation amplitudes using observational limits on non-Gaussianity.

Contribution

It introduces a non-Gaussian PDF with three-point correlation effects and analyzes its impact on PBH formation, providing updated constraints on curvature perturbations.

Findings

Non-Gaussian effects significantly alter PBH formation probabilities.

New bounds on curvature perturbation amplitudes are established.

Observational limits on $f_{NL}$ constrain early universe models.

Abstract

This paper explores the consequences of non-Gaussian cosmological perturbations for the formation of primordial black holes (PBHs). A non-Gaussian probability distribution function (PDF) of curvature perturbations is presented with an explicit contribution from the three-point correlation function to linear order. The consequences of this non-Gaussian PDF for the large perturbations that form PBHs are then studied. Using the observational limits for the non-Gaussian parameter $f_{NL}$, new bounds to the mean amplitude of curvature perturbations are derived in the range of scales relevant for PBH formation.