A new calculation of the mass fraction of primordial black holes

Abstract

We revisit the calculation of the abundance of primordial black holes (PBHs) formed from primordial density perturbations, using a formation criterion derived by Shibata and Sasaki which refers to a metric perturbation variable rather than the usual density contrast. We implement a derivation of the PBH abundance which uses peaks theory, and compare it to the standard calculation based on a Press--Schechter-like approach. We find that the two are in reasonable agreement if the Press--Schechter threshold is in the range ${\Delta }_{\mathrm{th}}\simeq 0.3$ to 0.5, but advocate use of the peaks theory expression which is based on a sounder theoretical footing.

5 pages, 1 figure, minor changes to match version to appear in Phys. Rev. D as a rapid communication

References in corpus (2)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results

Cited by in corpus (155)

• New cosmological constraints on primordial black holes
• Constraints on Primordial Black Holes
• Primordial Black Holes as Dark Matter
• Primordial Black Holes as a dark matter candidate
• Primordial Black Holes
• Primordial black holes from single field models of inflation
• Gravitational Waves Induced by non-Gaussian Scalar Perturbations
• Effect of Primordial Black Holes on the Cosmic Microwave Background and Cosmological Parameter Estimates
• Computations of primordial black hole formation
• Threshold for primordial black holes: Dependence on the shape of the cosmological perturbations
• The effective temperature
• Single Field Double Inflation and Primordial Black Holes
• Scalaron from $R^2$-gravity as a Heavy Field
• The abundance of primordial black holes depends on the shape of the inflationary power spectrum
• Calculating the mass spectrum of primordial black holes
• Correlation Functions in Stochastic Inflation
• The recent gravitational wave observation by pulsar timing arrays and primordial black holes: the importance of non-gaussianities
• Primordial Black Holes from Inflation and non-Gaussianity
• Universal infrared scaling of gravitational wave background spectra
• Generalised constraints on the curvature perturbation from primordial black holes
• Cosmological long-wavelength solutions and primordial black hole formation
• Primordial black holes in non-Gaussian regimes
• Primordial black holes and second order gravitational waves from ultra-slow-roll inflation
• Primordial Black Holes from a tiny bump/dip in the Inflaton potential
• A brief review on primordial black holes as dark matter
• Early Structure Formation in $\Lambda$PBH Cosmologies
• Gravitational Waves Induced by Scalar Perturbations with a Lognormal Peak
• PBHs and secondary GWs from ultra slow roll and punctuated inflation
• A New Probe of Dark Matter and High-Energy Universe Using Microlensing
• Stochastic Dynamical Structure (SDS) of Nonequilibrium Processes in the Absence of Detailed Balance. IV: Emerging of Stochastic Dynamical Equalities and Steady State Thermodynamics from Darwinian Dynamics
• Curvature profiles as initial conditions for primordial black hole formation
• The primordial black hole formation criterion re-examined: parameterisation, timing, and the choice of window function
• Non-Gaussian tail of the curvature perturbation in stochastic ultra-slow-roll inflation: implications for primordial black hole production
• Primordial black holes and gravitational waves from parametric amplification of curvature perturbations
• Primordial black holes as dark matter and gravitational waves from single-field polynomial inflation
• The Gravitational-Wave Physics II: Progress
• Separate Universes Do Not Constrain Primordial Black Hole Formation
• Fundamental Particle Structure in the Cosmological Dark Matter
• Planck scale black hole dark matter from Higgs inflation
• Primordial Black Holes in Higgs-$R^2$ Inflation as a Whole Dark Matter
• Clustering of primordial black holes: Basic results
• Pulsar Timing Array Constraints on the Induced Gravitational Waves
• Primordial black holes dark matter from inflection point models of inflation and the effects of reheating
• CMB and BBN constraints on evaporating primordial black holes revisited
• PBH dark matter from axion inflation
• PBH formation from spherically symmetric hydrodynamical perturbations: a review
• Effect of nonlinearity between density and curvature perturbations on the primordial black hole formation
• Primordial black holes from long-range scalar forces and scalar radiative cooling
• Primordial Black Holes from Supercooled Phase Transitions
• Implications of stochastic effects for primordial black hole production in ultra-slow-roll inflation
• An analytical approximation of the scalar spectrum in the ultra-slow-roll inflationary models
• Constraints on the primordial curvature power spectrum from primordial black holes
• Primordial Black Holes from Multifield Inflation with Nonminimal Couplings
• Gamma-rays from ultracompact minihalos: potential constraints on the primordial curvature perturbation
• Implications of Pulsar Timing Array Data for Scalar-Induced Gravitational Waves and Primordial Black Holes: Primordial Non-Gaussianity $f_{\mathrm{NL}}$ Considered
• Primordial Black Holes from Cosmic Domain Walls
• Amplification of Primordial Perturbations from the Rise or Fall of the Inflaton
• Multi-messenger Probes of Inflationary Fluctuations and Primordial Black Holes
• Effects of Critical Collapse on Primordial Black-Hole Mass Spectra
• Simulations of PBH formation at the QCD epoch and comparison with the GWTC-3 catalog
• Constraints on Primordial Black Holes by Distortions of Cosmic Microwave Background
• Universal Upper Bound on the Inflationary Energy Scale from the Trans-Planckian Censorship Conjecture
• Are black holes over-produced during preheating?
• Primordial Black Holes: sirens of the early Universe
• Primordial black hole dark matter in dilaton-extended two-field Starobinsky inflation
• Application of peaks theory to the abundance of primordial black holes
• One loop to rule them all: Perturbativity in the presence of ultra slow-roll dynamics
• Reconstruction of Power Spectrum of Primordial Curvature Perturbations on small scales from Primordial Black Hole Binaries scenario of LIGO/VIRGO detection
• Constraints on the primordial curvature perturbation from primordial black holes
• Stochastic constant-roll inflation and primordial black holes
• Primordial black holes and gravitational waves in nonstandard cosmologies
• Curbing PBHs with PTAs
• Number Counts and Non-Gaussianity
• Primordial black holes and scalar-induced gravitational waves from the generalized Brans-Dicke theory
• The long-short wavelength mode coupling tightens primordial black hole constraints
• Unification models with reheating via primordial black holes
• The effect of primordial black holes on 21 cm fluctuations
• 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
• Probability of primordial black hole formation and its dependence on the radial profile of initial configurations
• Forming sub-horizon black holes at the end of inflation
• Mechanisms of Producing Primordial Black Holes By Breaking The SU(2,1)/SU(2)$\times$U(1) Symmetry
• Primordial black hole constraints on non-gaussian inflation models
• Spins of primordial black holes formed in different cosmological scenarios
• NANOGrav signal and LIGO-Virgo Primordial Black Holes from the Higgs field
• The Interplay between the Dark Matter Axion and Primordial Black Holes
• Extreme scenarios: the tightest possible constraints on the power spectrum due to primordial black holes
• Clustering of Primordial Black Holes. II. Evolution of Bound Systems
• Non-Gaussian corrections to the probability distribution of the curvature perturbation from inflation
• Preheating and Entropy Perturbations in Axion Monodromy Inflation
• Primordial Black Holes from Conformal Higgs
• Production of Primordial Black Holes via Single Field Inflation and Observational Constraints
• Formation of subhorizon black holes from preheating
• The Inflaton that Could : Primordial Black Holes and Second Order Gravitational Waves from Tachyonic Instability induced in Higgs-$R^2$ Inflation
• The separate universe problem: 40 years on
• Primordial black holes as a dark matter candidate in theories with supersymmetry and inflation
• Progress in Higgs inflation
• The Primordial Black Hole Abundance: The Broader, the Better
• Large fluctuations and Primordial Black Holes
• Generation of Primordial Black Holes and Gravitational Waves from Dilaton-Gauge Field Dynamics
• Press-Schechter primordial black hole mass functions and their observational constraints
• Window function dependence of the novel mass function of primordial black holes
• The effect of non-Gaussian curvature perturbations on the formation of primordial black holes
• Primordial black holes from Higgs inflation with a Gauss-Bonnet coupling
• Magnetic field generation from primordial black hole distributions
• Generation of primordial black holes from an inflation model with modified dispersion relation
• Anisotropies in Scalar-Induced Gravitational-Wave Background from Inflaton-Curvaton Mixed Scenario with Sound Speed Resonance
• Primordial black holes and scalar-induced gravitational waves from the perturbations on the inflaton potential in peak theory
• Horizonless ultracompact objects and dark matter in quadratic gravity
• Non-Gaussianity effects on the primordial black hole abundance for sharply-peaked primordial spectrum
• Sudden braking and turning with a two-field potential bump: primordial black hole formation
• Primordial Black Hole Formation in Non-Standard Post-Inflationary Epochs
• Primordial Black Hole Formation from Power Spectrum with Finite-width
• Primordial black holes: constraints, potential evidence and prospects
• Lattice simulations of axion-U(1) inflation: gravitational waves, magnetic fields, and scalar statistics
• Chiral gravitational waves and primordial black holes in UV-protected Natural Inflation
• The cosmic coincidences of primordial-black-hole dark matter
• Cosmology using numerical relativity
• The Irrelevance of Primordial Black Hole Clustering in the LVK mass range
• Cosmological Imprints of SUSY Breaking in Models of Sgoldstinoless Non-Oscillatory Inflation
• Primordial black holes and induced gravitational waves from inflation in the Horndeski theory of gravity
• Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
• The History of Primordial Black Holes
• The statistics of peaks of weakly non-Gaussian random fields: Effects of bispectrum in two- and three-dimensions
• Is the formation of primordial black holes from single-field inflation compatible with standard cosmology?
• Baryogenesis from ultra-slow-roll inflation
• Fundamental Physics and Cosmology with TianQin
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• $G$ Objects and primordial black holes
• A novel formulation of the PBH mass function
• Impact of nonlinear overdensity statistics on primordial black hole abundance
• Extreme Primordial Black Holes
• Threshold of primordial black hole formation in Eddington-inspired-Born-Infeld gravity
• Implications for Pulsar Timing Arrays of Sub-solar Black Hole Detections: From LVK to Einstein Telescope and Cosmic Explorer
• Primordial Black Holes Evaporating before Big Bang Nucleosynthesis
• Non-Gaussianities and Primordial Black Holes
• Non-gaussianities for primordial black hole formation
• Effects of the modification of gravity on the production of primordial black holes
• Stochastic gravitational wave background from accreting primordial black hole binaries during early inspiral stage
• Primordial black hole formation in $\alpha$-attractor models: an analysis using optimized peaks theory
• On primordial black holes from an inflection point
• An analytical approximation of the evolution of the primordial curvature perturbation in the ultraslow-roll inflation
• Beware of the running $n_s$ when producing heavy primordial black holes
• Scalar spectral index in the presence of Primordial Black Holes
• Primordial blackhole formation: Exploring chaotic potential with a sharp step via the GLMS perspective
• How large are curvature perturbations from slow first-order phase transitions? A gauge-invariant analysis
• Inflation with the Trace Anomaly Action and Primordial Black Holes
• Supersymmetric Horizons at the Edge of Effective Field Theory
• An accurate model for the primordial black hole mass distribution from a peak in the power spectrum
• The Second-Level Preheating
• Primordial black holes and uncertainties in the choice of the window function
• Primordial Black Holes: A Review of Formation and Evolution
• Primordial black holes from the perturbations in the inflaton potential in peak theory
• Primordial black hole formation in k-inflation models
• Black holes seeding cosmological phase transitions