The Formation Probability of Primordial Black Holes

Abstract

We calculate the exact formation probability of primordial black holes generated during the collapse at horizon re-entry of large fluctuations produced during inflation, such as those ascribed to a period of ultra-slow-roll. We show that it interpolates between a Gaussian at small values of the average density contrast and a Cauchy probability distribution at large values. The corresponding abundance of primordial black holes may be larger than the Gaussian one by several orders of magnitude. The mass function is also shifted towards larger masses.

4 pages, 3 figures, minor additions, references added, matches published version

References in corpus (2)

• The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription
• Primordial black hole formation from an axion-like curvaton model

Cited by in corpus (69)

• New Horizons for Fundamental Physics with LISA
• The recent gravitational wave observation by pulsar timing arrays and primordial black holes: the importance of non-gaussianities
• Inflation and Primordial Black Holes
• Primordial non-gaussianity up to all orders: theoretical aspects and implications for primordial black hole models
• From inflation to black hole mergers and back again: Gravitational-wave data-driven constraints on inflationary scenarios with a first-principle model of primordial black holes across the QCD epoch
• Non-perturbative non-Gaussianity and primordial black holes
• Logarithmic Duality of the Curvature Perturbation
• Primordial black holes in peak theory with a non-Gaussian tail
• Hunt for Light Primordial Black Hole Dark Matter with Ultra-High-Frequency Gravitational Waves
• Primordial Black Holes
• Implications of stochastic effects for primordial black hole production in ultra-slow-roll inflation
• Dark Photon Stars: Formation and Role as Dark Matter Substructure
• Highly non-Gaussian tails and primordial black holes from single-field inflation
• Galileon inflation evades the no-go for PBH formation in the single-field framework
• Primordial Black Holes from Multifield Inflation with Nonminimal Couplings
• Peaks and primordial black holes: the effect of non-Gaussianity
• Revisiting small-scale fluctuations in $\alpha$-attractor models of inflation
• Search for scalar induced gravitational waves in the International Pulsar Timing Array Data Release 2 and NANOgrav 12.5 years datasets
• Primordial black hole formation during the QCD phase transition: threshold, mass distribution and abundance
• Primordial Black Hole Formation in Starobinsky's Linear Potential Model
• Statistics of coarse-grained cosmological fields in stochastic inflation
• One loop to rule them all: Perturbativity in the presence of ultra slow-roll dynamics
• Primordial Black Hole Formation in Non-Minimal Curvaton Scenario
• Primordial black hole dark matter from inflation: the reverse engineering approach
• One-loop correction to the enhanced curvature perturbation with local-type non-Gaussianity for the formation of primordial black holes
• Stochastic constant-roll inflation and primordial black holes
• Primordial black holes and gravitational waves induced by exponential-tailed perturbations
• Large power spectrum and primordial black holes in the effective theory of inflation
• Inflation is always semi-classical: Diffusion domination overproduces Primordial Black Holes
• Planck Constraints and Gravitational Wave Forecasts for Primordial Black Hole Dark Matter Seeded by Multifield Inflation
• Primordial non-Gaussianity as a saviour for PBH overproduction in SIGWs generated by Pulsar Timing Arrays for Galileon inflation
• A Note on the Abundance of Primordial Black Holes: Use and Misuse of the Metric Curvature Perturbation
• Rare Events Are Nonperturbative: Primordial Black Holes From Heavy-Tailed Distributions
• Limits on light primordial black holes from high-scale leptogenesis
• Ultra-Slow-Roll Inflation on the Lattice I: Backreaction and Nonlinear Effects
• Highly asymmetric probability distribution from a finite-width upward step during inflation
• Numerical simulations of stochastic inflation using importance sampling
• Primordial black holes as a dark matter candidate in theories with supersymmetry and inflation
• The Primordial Black Hole Abundance: The Broader, the Better
• Mechanism of primordial black holes production and secondary gravitational waves in $\alpha$-attractor Galileon inflationary scenario
• Multiple Field Ultra Slow Roll Inflation: Primordial Black Holes From Straight Bulk And Distorted Boundary
• Primordial black hole compaction function from stochastic fluctuations in ultra-slow-roll inflation
• Primordial black holes from Higgs inflation with a Gauss-Bonnet coupling
• Unveiling the nonlinear dynamics of a rolling axion during inflation
• Smooth vs instant inflationary transitions: steepest growth re-examined and primordial black holes
• Primordial black holes: constraints, potential evidence and prospects
• Primordial Black Hole Formation from Power Spectrum with Finite-width
• Primordial Black Holes with QCD Color Charge
• The Irrelevance of Primordial Black Hole Clustering in the LVK mass range
• Inflation from Multiple Pseudo-Scalar Fields: PBH Dark Matter and Gravitational Waves
• The cosmic coincidences of primordial-black-hole dark matter
• Extended $\delta N$ formalism: Nonspatially Flat Separate Universe Approach
• Baryogenesis from ultra-slow-roll inflation
• Ultra-Slow-Roll Inflation on the Lattice II: Nonperturbative Curvature Perturbation
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• $G$ Objects and primordial black holes
• Primordial Black-Hole-Based Pathways to Little Red Dots
• Non-Gaussianities and Primordial Black Holes
• Itô, Stratonovich, and zoom-in schemes in stochastic inflation
• Dip and non-linearity in the curvature perturbation from inflation with a transient non-slow-roll stage
• Stochastic-tail of the curvature perturbation in hybrid inflation
• Inflationary $\alpha$-Attractor Models with Singular Derivative of Potential
• Cosmology from Strong Interactions
• Eternal inflation near inflection points: a challenge to primordial black hole models
• $\delta N$ formalism with gradient interactions
• Elastic Scattering of Cosmological Gravitational Wave Backgrounds: Primordial Black Holes and Stellar Objects
• Effect of stochastic kicks on primordial black hole abundance and mass via the compaction function
• $\delta n$ formalism: A new formulation for the probability density of the curvature perturbation
• Excursion-set for Primordial Black Holes I: white noise and moving barrier