From Primordial Black Holes Abundance to Primordial Curvature Power Spectrum (and back)

Abstract

In the model where Primordial Black Holes (PBHs) form from large primordial curvature (C) perturbations, i.e., CPBHs, constraints on PBH abundance provide in principle constraints on the primordial curvature power spectrum. This connection however depends necessarily on the details of PBH formation mechanism. In this paper we provide, for the first time, constraints on the primordial curvature power spectrum from the latest limits on PBH abundance, taking into account all the steps from gravitational collapse in real space to PBH formation. In particular, we use results from numerical relativity simulations and peak theory to study the conditions for PBH formation for a range of perturbation shapes, including non-linearities, perturbation profile and a careful treatment of smoothing and filtering scales. We then obtain updated PBH formation conditions and translate that into primordial spectrum constraints for a wide range of shapes and abundances. These updated constraints cover a range of scales not probed by other cosmological observables. Our results show that the correct and accurate modelling of non-linearities, filtering and typical perturbation profile, is crucial for deriving meaningful cosmological implications.

arXiv comment52 pages, 9 figures. Matches the published version

References in corpus (160)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Planck 2013 results. XVI. Cosmological parameters
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• A luminous quasar at a redshift of z = 7.085
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Did LIGO detect dark matter?
• New cosmological constraints on primordial black holes
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• An 800-million-solar-mass black hole in a significantly neutral Universe at redshift 7.5
• Planck 2013 results. XXII. Constraints on inflation
• Primordial Black Holes as Dark Matter
• Massive neutrinos and cosmology
• A Survey of z>5.8 Quasars in the Sloan Digital Sky Survey I: Discovery of Three New Quasars and the Spatial Density of Luminous Quasars at z~6
• Limits on the Macho Content of the Galactic Halo from the EROS-2 Survey of the Magellanic Clouds
• The first gravitational-wave source from the isolated evolution of two 40-100 Msun stars
• Reconstructing the Inflaton Potential --- an Overview
• A general proof of the conservation of the curvature perturbation
• Formation of Supermassive Black Holes
• An ultra-luminous quasar with a twelve-billion-solar-mass black hole at redshift 6.30
• Density Perturbations and Black Hole Formation in Hybrid Inflation
• Gravitational-wave sensitivity curves
• Double Compact Objects I: The Significance Of The Common Envelope On Merger Rates
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
• Cosmological perturbations
• On The Maximum Mass of Stellar Black Holes
• The clustering of massive Primordial Black Holes as Dark Matter: measuring their mass distribution with Advanced LIGO
• Updated fit to three neutrino mixing: status of leptonic CP violation
• European Pulsar Timing Array Limits On An Isotropic Stochastic Gravitational-Wave Background
• Microlensing constraints on primordial black holes with the Subaru/HSC Andromeda observation
• Primordial black holes from single field models of inflation
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
• Gravitational waves from binary supermassive black holes missing in pulsar observations
• Cosmic microwave background limits on accreting primordial black holes
• Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
• The merger rate of primordial-black-hole binaries
• Primordial black hole constraints for extended mass functions
• Gravitational Waves Induced by non-Gaussian Scalar Perturbations
• Double Compact Objects III: Gravitational Wave Detection Rates
• Double Compact Objects II: Cosmological Merger Rates
• Effect of Primordial Black Holes on the Cosmic Microwave Background and Cosmological Parameter Estimates
• Threshold of primordial black hole formation
• Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes
• Gravitational Waves from Coalescing Black Hole MACHO Binaries
• The Effect of Pair-Instability Mass Loss on Black Hole Mergers
• Primordial black hole dark matter from single field inflation
• Dynamics of Primordial Black Hole Formation
• MACHO Project Limits on Black Hole Dark Matter in the 1-30 Solar Mass Range
• Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity
• Steepest growth of the power spectrum and primordial black holes
• Constraints on MACHO Dark Matter from Compact Stellar Systems in Ultra-Faint Dwarf Galaxies
• Computations of primordial black hole formation
• Black Hole Relics and Inflation: Limits on Blue Perturbation Spectra
• Formation and Evolution of Primordial Black Hole Binaries in the Early Universe
• The effect of metallicity on the detection prospects for gravitational waves
• The NANOGrav Nine-year Data Set: Limits on the Isotropic Stochastic Gravitational Wave Background
• Primordial Black Holes and Slow-Roll Violation
• Gravitational Waves from Primordial Black Hole Mergers
• Primordial black hole formation in the early universe: critical behaviour and self-similarity
• CMB bounds on disk-accreting massive Primordial Black Holes
• Probing the inflaton: Small-scale power spectrum constraints from measurements of the CMB energy spectrum
• Single Field Double Inflation and Primordial Black Holes
• Gravitational Wave signatures of inflationary models from Primordial Black Hole Dark Matter
• Primordial black hole formation in the radiative era: investigation of the critical nature of the collapse
• Femtolensing by Dark Matter Revisited
• The abundance of primordial black holes depends on the shape of the inflationary power spectrum
• Primordial Black Holes as Dark Matter: The Power Spectrum and Evaporation of Early Structures
• Lensing of Fast Radio Bursts as a Probe of Compact Dark Matter
• Limits on stellar-mass compact objects as dark matter from gravitational lensing of type Ia supernovae
• The Primordial Black Hole Dark Matter - LISA Serendipity
• Dark Matter Triggers of Supernovae
• Stochastic gravitational waves associated with the formation of primordial black holes
• Gravitational waves induced by scalar perturbations as probes of the small-scale primordial spectrum
• Improved constraints on the primordial power spectrum at small scales from ultracompact minihalos
• Testing Primordial Black Holes as Dark Matter through LISA
• Primordial black holes with an accurate QCD equation of state
• On Effective Degrees of Freedom in the Early Universe
• Primordial Black Holes from Inflation and non-Gaussianity
• Generalised constraints on the curvature perturbation from primordial black holes
• Primordial Black Holes from $\alpha$-attractors
• Cosmological long-wavelength solutions and primordial black hole formation
• Black hole mergers from an evolving population of globular clusters
• Primordial Black Hole Formation during First-Order Phase Transitions
• Imprints of Primordial Non-Gaussianity on Gravitational Wave Spectrum
• Primordial black hole formation from an axion-like curvaton model
• The Ineludible non-Gaussianity of the Primordial Black Hole Abundance
• Experimental Limits on Primordial Black Hole Dark Matter from the First Two Years of Kepler Data
• The Initial Spin Probability Distribution of Primordial Black Holes
• Formation of supermassive black hole seeds
• Non-linear metric perturbations and production of primordial black holes
• Primordial Black Holes and Local Non-Gaussianity in Canonical Inflation
• Microlensing-Based Estimate of the Mass Fraction in Compact Objects in Lens
• Limits on the cosmological abundance of supermassive compact objects from a search for multiple imaging in compact radio sources
• Mechanisms for Primordial Black Hole Production in String Theory
• Curvature profiles as initial conditions for primordial black hole formation
• PBH abundance from random Gaussian curvature perturbations and a local density threshold
• Searching for Primordial Black Holes in the radio and X-ray sky
• On the Reported Death of the MACHO Era
• Limits on primordial black holes from $\mu$ distortions in cosmic microwave background
• Primordial Black Holes from String Inflation
• Lyman-$\alpha$ forest constraints on Primordial Black Holes as Dark Matter
• Black hole formation from colliding bubbles
• Orbital eccentricities in primordial black holes binaries
• Silk damping at a redshift of a billion: a new limit on small-scale adiabatic perturbations
• Primordial black holes from inflaton and spectator field perturbations in a matter-dominated era
• Primordial Black Holes from the inflating curvaton
• The Spatial Clustering of Primordial Black Holes
• Running-Mass Inflation Model and Primordial Black Holes
• CMB Anisotropies at Second-Order II: Analytical Approach
• The Black Hole Mass Function from Gravitational Wave Measurements
• Constraining Primordial Black Holes with the EDGES 21-cm Absorption Signal
• Signatures of non-gaussianity in the isocurvature modes of primordial black hole dark matter
• On the merger rate of primordial black holes: effects of nearest neighbours distribution and clustering
• Correlation function of high-threshold regions and application to the initial small-scale clustering of primordial black holes
• Clustering of primordial black holes: Basic results
• Running Spectral Index and Formation of Primordial Black Hole in Single Field Inflation Models
• Primordial Black Holes as Dark Matter: Converting Constraints from Monochromatic to Extended Mass Distributions
• Peaks theory and the excursion set approach
• Black hole constraints on the running-mass inflation model
• Determining the progenitors of merging black-hole binaries
• Effect of nonlinearity between density and curvature perturbations on the primordial black hole formation
• Formation of Black Holes from Collapsed Cosmic String Loops
• Spin Distribution of Primordial Black Holes
• Gravitational Waves from Binary Mergers of Sub-solar Mass Dark Black Holes
• Accurate results for primordial black holes from spectra with a distinguished scale
• Constraints on the primordial curvature power spectrum from primordial black holes
• Probing Primordial-Black-Hole Dark Matter with Gravitational Waves
• Critical phenomena in perfect fluids
• The Full Second-Order Radiation Transfer Function for Large-Scale CMB Anisotropies
• GW$\times$LSS: Chasing the Progenitors of Merging Binary Black Holes
• Gamma-rays from ultracompact minihalos: potential constraints on the primordial curvature perturbation
• Influence of large local and non-local bispectra on primordial black hole abundance
• Effects of friction on cosmic strings
• Multi-wavelength astronomical searches for primordial black holes
• Foliation dependence of black hole apparent horizons in spherical symmetry
• Pair Creation of Black Holes by Domain Walls
• Microlensing towards the SMC: a new analysis of OGLE and EROS results
• Second-order matter perturbations in a LambdaCDM cosmology and non-Gaussianity
• The long-short wavelength mode coupling tightens primordial black hole constraints
• Extreme scenarios: the tightest possible constraints on the power spectrum due to primordial black holes
• Cosmological implications of Primordial Black Holes
• Clustering of Primordial Black Holes. II. Evolution of Bound Systems
• Methods for the detection of gravitational waves from sub-solar mass ultracompact binaries
• Primordial black holes from cosmic necklaces
• Causal Nature and Dynamics of Trapping Horizons in Black Hole Collapse
• Constraints on the curvature power spectrum from primordial black hole evaporation
• Gravitational wave astronomy with radio galaxy surveys
• String Necklaces and Primordial Black Holes from Type IIB Strings
• Do we need fine-tuning to create primordial black holes?
• Enhanced cosmological perturbations and the merger rate of PBH binaries
• Effects of primordial black holes quantum gravity decay on galaxy clustering
• Red, Straight, no bends: primordial power spectrum reconstruction from CMB and large-scale structure
• Uncertainties in primordial black-hole constraints on the primordial power spectrum
• Measuring the Energy Scale of Inflation with Large Scale Structures
• The bias of weighted dark matter halos from peak theory

Cited by in corpus (80)

• Constraints on Primordial Black Holes
• Primordial Black Holes as a dark matter candidate
• NANOGrav Hints to Primordial Black Holes as Dark Matter
• Threshold for primordial black holes: Dependence on the shape of the cosmological perturbations
• Cosmic Conundra Explained by Thermal History and Primordial Black Holes
• The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription
• Universal infrared scaling of gravitational wave background spectra
• Generating PBHs and small-scale GWs in two-field models of inflation
• The exponential tail of inflationary fluctuations: consequences for primordial black holes
• Gravitational Waves Induced by Scalar Perturbations with a Lognormal Peak
• 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
• Gravitational waves induced from primordial black hole fluctuations: The effect of an extended mass function
• Non-Cold Dark Matter from Primordial Black Hole Evaporation
• Constraining primordial black holes as dark matter using the global 21-cm signal with X-ray heating and excess radio background
• PBH in single field inflation: the effect of shape dispersion and non-Gaussianities
• The Gravitational-Wave Physics II: Progress
• 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
• PBH formation from spherically symmetric hydrodynamical perturbations: a review
• Primordial Black Holes
• Primordial Black Holes from Cosmic Domain Walls
• On the Primordial Black Hole Mass Function for Broad Spectra
• Multi-messenger Probes of Inflationary Fluctuations and Primordial Black Holes
• Search for subsolar-mass binaries in the first half of Advanced LIGO and Virgo's third observing run
• Revisiting small-scale fluctuations in $\alpha$-attractor models of inflation
• Primordial black holes from single-field inflation: a fine-tuning audit
• Initial clustering and the primordial black hole merger rate
• Statistics of coarse-grained cosmological fields in stochastic inflation
• Application of peaks theory to the abundance of primordial black holes
• Detuning primordial black hole dark matter with early matter domination and axion monodromy
• Measuring dark matter spikes around primordial black holes with Einstein Telescope and Cosmic Explorer
• Primordial black holes and gravitational waves in nonstandard cosmologies
• Constraints on primordial curvature spectrum from primordial black holes and scalar-induced gravitational waves
• Exploring the Spectral Shape of Gravitational Waves Induced by Primordial Scalar Perturbations and Connection with the Primordial Black Hole Scenarios
• Formation of Primordial Black Holes from Warm Inflation
• Testing the Early Universe with Anisotropies of the Gravitational Wave Background
• Effects of the shape of curvature peaks on the size of primordial black holes
• The Open Effective Field Theory of Inflation
• Solving peak theory in the presence of local non-gaussianities
• Gravitational waves $\times$ HI intensity mapping: cosmological and astrophysical applications
• Growth of curvature perturbations for PBH formation \& detectable GWs in non-minimal curvaton scenario revisited
• Production of Primordial Black Holes via Single Field Inflation and Observational Constraints
• Signatures of primordial black holes in gravitational wave clustering
• Large fluctuations and Primordial Black Holes
• Deformation of the gravitational wave spectrum by density perturbations
• Window function dependence of the novel mass function of primordial black holes
• Press-Schechter primordial black hole mass functions and their observational constraints
• Primordial black hole compaction function from stochastic fluctuations in ultra-slow-roll inflation
• Interferometer Constraints on the Inflationary Field Content
• The effect of outflows on CMB bounds from Primordial Black Hole accretion
• 21 cm Forest Constraints on Primordial Black Holes
• Small-scale primordial fluctuations in the 21cm Dark Ages signal
• 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
• Horizonless ultracompact objects and dark matter in quadratic gravity
• Primordial Black Hole Formation in Non-Standard Post-Inflationary Epochs
• Primordial Black Holes with QCD Color Charge
• New scenario of QCD axion clump formation I: Linear analysis
• Searching for blue in the dark
• Mechanisms for producing Primordial Black Holes from Inflationary Models Beyond Fine-Tuning
• Impact of Primordial Black Hole Dark Matter on Gas Properties at Very High Redshift: A Semi-Analytical Model
• Constraining the impact of standard model phase transitions on primordial black holes
• Primordial Black Holes in the Excursion Set Theory
• Solar Mass Primordial Black Holes in Moduli Dominated Universe
• Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
• Baryogenesis from ultra-slow-roll inflation
• Impact of radiation from primordial black holes on the 21-cm angular-power spectrum in the dark ages
• Fundamental Physics and Cosmology with TianQin
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Stochastic inflation and non-perturbative power spectrum beyond slow roll
• Extreme Primordial Black Holes
• Astrophysics with the Laser Interferometer Space Antenna
• Non-gaussianities for primordial black hole formation
• Extended primordial black hole mass functions with a spike
• Gravitational waves from primordial black hole dominance: The effect of inflaton decay rate
• Simulation of Primordial Black Holes with large negative non-Gaussianity
• Dynamical axisymmetric compact objects in General Relativity
• Effect of stochastic kicks on primordial black hole abundance and mass via the compaction function
• Primordial black hole formation in k-inflation models
• Primordial Black Holes: A Review of Formation and Evolution