The Ineludible non-Gaussianity of the Primordial Black Hole Abundance

Abstract

We study the formation of primordial black holes when they are generated by the collapse of large overdensities in the early universe. Since the density contrast is related to the comoving curvature perturbation by a nonlinear relation, the overdensity statistics is unavoidably non-Gaussian. We show that the abundance of primordial black holes at formation may not be captured by a perturbative approach which retains the first few cumulants of the non-Gaussian probability distribution. We provide two techniques to calculate the non-Gaussian abundance of primordial black holes at formation, one based on peak theory and the other on threshold statistics. Our results show that the unavoidable non-Gaussian nature of the inhomogeneities in the energy density makes it harder to generate PBHs. We provide simple (semi-)analytical expressions to calculate the non-Gaussian abundances of the primordial black holes and show that for both narrow and broad power spectra the gaussian case from threshold statistics is reproduced by increasing the amplitude of the power spectrum by a factor $\mathcal{O}(2÷3)$.

arXiv comment26 pages, 10 figures, matching published version

References in corpus (31)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Did LIGO detect dark matter?
• Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -
• Gravitational Waves Induced by non-Gaussian Scalar Perturbations
• Dynamics of Primordial Black Hole Formation
• Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity
• Gravitational Wave signatures of inflationary models from Primordial Black Hole Dark Matter
• The abundance of primordial black holes depends on the shape of the inflationary power spectrum
• The Primordial Black Hole Dark Matter - LISA Serendipity
• Calculating the mass spectrum of primordial black holes
• Gravitational waves at interferometer scales and primordial black holes in axion inflation
• Testing Primordial Black Holes as Dark Matter through LISA
• Chaotic new inflation and formation of primordial black holes
• Primordial Black Holes from Inflation and non-Gaussianity
• Cosmological long-wavelength solutions and primordial black hole formation
• Primordial black holes in non-Gaussian regimes
• Primordial black holes as a tool for constraining non-Gaussianity
• Imprints of Primordial Non-Gaussianity on Gravitational Wave Spectrum
• Quantum diffusion during inflation and primordial black holes
• Non-Gaussian Fluctuations and Primordial Black Holes from Inflation
• Primordial Black Holes from Inflation and Quantum Diffusion
• Non-linear metric perturbations and production of primordial black holes
• PBH abundance from random Gaussian curvature perturbations and a local density threshold
• Single-field inflation, anomalous enhancement of superhorizon fluctuations, and non-Gaussianity in primordial black hole formation
• Primordial black holes as biased tracers
• Signatures of non-gaussianity in the isocurvature modes of primordial black hole dark matter
• Effect of nonlinearity between density and curvature perturbations on the primordial black hole formation
• Influence of large local and non-local bispectra on primordial black hole abundance
• Primordial black hole constraints for curvaton models with predicted large non-Gaussianity
• Can massive primordial black holes be produced in mild waterfall hybrid inflation?
• Primordial black hole constraints on non-gaussian inflation models

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• The NANOGrav 15-year Data Set: Search for Signals from New Physics
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• Cosmology with the Laser Interferometer Space Antenna
• NANOGrav Hints to Primordial Black Holes as Dark Matter
• Did NANOGrav see a signal from primordial black hole formation?
• The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription
• The recent gravitational wave observation by pulsar timing arrays and primordial black holes: the importance of non-gaussianities
• Universal infrared scaling of gravitational wave background spectra
• Generating PBHs and small-scale GWs in two-field models of inflation
• Primordial Black Holes from a tiny bump/dip in the Inflaton potential
• The exponential tail of inflationary fluctuations: consequences for primordial black holes
• A brief review on primordial black holes as dark matter
• Gravitational Waves Induced by Scalar Perturbations with a Lognormal Peak
• PBHs and secondary GWs from ultra slow roll and punctuated inflation
• 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
• Primordial black hole formation with non-Gaussian curvature perturbations
• The primordial black hole formation criterion re-examined: parameterisation, timing, and the choice of window function
• Gravitational waves induced from primordial black hole fluctuations: The effect of an extended mass function
• Anatomy of single-field inflationary models for primordial black holes
• Primordial black holes and gravitational waves from parametric amplification of curvature perturbations
• Non-linear statistics of primordial black holes from gaussian curvature perturbations
• PBH in single field inflation: the effect of shape dispersion and non-Gaussianities
• The Gravitational-Wave Physics II: Progress
• Turning in the landscape: a new mechanism for generating Primordial Black Holes
• Abundance of primordial black holes with local non-Gaussianity in peak theory
• From Primordial Black Holes Abundance to Primordial Curvature Power Spectrum (and back)
• PBH formation in EFT of single field inflation with sharp transition
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• Primordial black holes in peak theory with a non-Gaussian tail
• Pulsar Timing Array Constraints on the Induced Gravitational Waves
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• NANOGrav results and LIGO-Virgo primordial black holes in axion-like curvaton model
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• Implications of stochastic effects for primordial black hole production in ultra-slow-roll inflation
• Simulation of primordial black hole formation using pseudo-spectral methods
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• Confronting the primordial black hole scenario with the gravitational-wave events detected by LIGO-Virgo
• Amplification of Primordial Perturbations from the Rise or Fall of the Inflaton
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• Primordial Black Holes from Broad Spectra: Abundance and Clustering
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• Simulations of PBH formation at the QCD epoch and comparison with the GWTC-3 catalog
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• Primordial black holes in the curvaton model: possible connections to pulsar timing arrays and dark matter
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• Reconstruction of Power Spectrum of Primordial Curvature Perturbations on small scales from Primordial Black Hole Binaries scenario of LIGO/VIRGO detection
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• Primordial black holes in loop quantum cosmology: The effect on the threshold
• Double-peaked inflation model: Scalar induced gravitational waves and primordial-black-hole suppression from primordial non-Gaussianity
• Curbing PBHs with PTAs
• Constraints on primordial black holes from LIGO-Virgo-KAGRA O3 events
• Non-Gaussianity in inflationary scenarios for primordial black holes
• Search for a scalar induced stochastic gravitational wave background in the third LIGO-Virgo observing run
• Non-Gaussianity and Secondary Gravitational Waves from Primordial Black Holes Production in $\alpha$-attractor Inflation
• Observational imprints of enhanced scalar power on small scales in ultra slow roll inflation and associated non-Gaussianities
• Reconstruction of Primordial Power Spectrum of curvature perturbation from the merger rate of Primordial Black Hole Binaries
• Ultra-low mass PBHs in the early universe can explain the PTA signal
• Primordial non-Gaussianity as a saviour for PBH overproduction in SIGWs generated by Pulsar Timing Arrays for Galileon inflation
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• Realisation of the ultra-slow roll phase in Galileon inflation and PBH overproduction
• Towards a reliable reconstruction of the power spectrum of primordial curvature perturbation on small scales from GWTC-3
• First Constraints on Small-Scale Non-Gaussianity from UV Galaxy Luminosity Functions
• Highly asymmetric probability distribution from a finite-width upward step during inflation
• Growth of curvature perturbations for PBH formation \& detectable GWs in non-minimal curvaton scenario revisited
• Evading no-go for PBH formation and production of SIGWs using Multiple Sharp Transitions in EFT of single field inflation
• Testing Primordial Black Holes with multi-band observations of the stochastic gravitational wave background
• Thermalization in Quenched Open Quantum Cosmology
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• Primordial black holes from an inflationary potential valley
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• The impact of distant fly-bys on the rate of binary primordial black hole mergers
• Smooth vs instant inflationary transitions: steepest growth re-examined and primordial black holes
• Prospects for probing ultralight primordial black holes using the stochastic gravitational-wave background induced by primordial curvature perturbations
• Primordial Black Hole Formation in Non-Standard Post-Inflationary Epochs
• Primordial black holes: constraints, potential evidence and prospects
• Primordial Black Holes with QCD Color Charge
• Primordial Black Hole Formation from Power Spectrum with Finite-width
• Gravitational Waves from Peaks
• Chiral gravitational waves and primordial black holes in UV-protected Natural Inflation
• Primordial Black Holes from non-Gaussian tails
• The Irrelevance of Primordial Black Hole Clustering in the LVK mass range
• Enhance Primordial Black Hole Abundance through the Non-linear Processes around Bounce Point
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• Primordial Black-Hole-Based Pathways to Little Red Dots
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