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

Abstract

Recent population studies have searched for a subpopulation of primordial black holes (PBHs) in the gravitational-wave (GW) events so far detected by LIGO/Virgo/KAGRA (LVK), in most cases adopting a phenomenological PBH mass distribution. When deriving such population from first principles in the standard scenario, however, the equation of state of the Universe at the time of PBH formation may strongly affect the PBH abundance and mass distribution, which ultimately depend on the power spectrum of cosmological perturbations. Here we improve on previous population studies on several aspects: (i) we adopt state-of-the-art PBH formation models describing the collapse of cosmological perturbations across the QCD epoch; (ii) we perform the first Bayesian multi-population inference on GW data including PBHs and directly using power spectrum parameters instead of phenomenological distributions; (iii) we critically confront the PBH scenario with LVK phenomenological models describing the GWTC-3 catalog both in the neutron-star and in the BH mass ranges, also considering PBHs as subpopulation of the total events. Our results confirm that LVK observations prevent the majority of the dark matter to be in the form of stellar mass PBHs. We find that the best fit PBH model can comprise a small fraction of the total events, in particular it can naturally explain events in the mass gaps. If the lower mass-gap event GW190814 is interpreted as a PBH binary, we predict that LVK should detect up to a few subsolar mergers and one to $\approx 30$ lower mass gap events during the upcoming O4 and O5 runs. Finally, mapping back the best-fit power spectrum into an ultra slow-roll inflationary scenario, we show that the latter predicts detectable PBH mergers in the LVK band, a stochastic GW background detectable by current and future instruments, and may include the entirety of dark matter in asteroid-mass PBHs.

41 pages, 21 figures. v3: matching published version

References in corpus (225)

• emcee: The MCMC Hammer
• Planck 2015 results. XIII. Cosmological parameters
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Cosmic Star Formation History
• Multi-messenger Observations of a Binary Neutron Star Merger
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• The Nucleosynthetic Signature of Population III
• GW190521: A Binary Black Hole Merger with a Total Mass of $150M_{\odot }$
• Did LIGO detect dark matter?
• Science Case for the Einstein Telescope
• New cosmological constraints on primordial black holes
• Constraints on Primordial Black Holes
• Full result for the QCD equation of state with 2+1 flavors
• Frequency-domain gravitational waves from non-precessing black-hole binaries. II. A phenomenological model for the advanced detector era
• Testing the nature of dark compact objects: a status report
• Limits on the Macho Content of the Galactic Halo from the EROS-2 Survey of the Magellanic Clouds
• Primordial Black Hole Scenario for the Gravitational-Wave Event GW150914
• Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -
• Formation of Supermassive Black Holes
• The NANOGrav 12.5-year Data Set: Search For An Isotropic Stochastic Gravitational-Wave Background
• Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations
• Density Perturbations and Black Hole Formation in Hybrid Inflation
• Pulsational Pair-Instability Supernovae
• A simple model of complete precessing black-hole-binary gravitational waveforms
• The Black Hole Mass Distribution in the Galaxy
• The cosmological gravitational wave background from primordial density perturbations
• Second-Order Cosmological Perturbations from Inflation
• Primordial Black Holes as a dark matter candidate
• Pulsational pair instability as an explanation for the most luminous supernovae
• Microlensing constraints on primordial black holes with the Subaru/HSC Andromeda observation
• Primordial black holes from single field models of inflation
• The Mass Distribution of Stellar-Mass Black Holes
• Gravitational waves from binary supermassive black holes missing in pulsar observations
• Massive Primordial Black Holes from Hybrid Inflation as Dark Matter and the seeds of Galaxies
• Cosmic microwave background limits on accreting primordial black holes
• An introduction to Bayesian inference in gravitational-wave astronomy: parameter estimation, model selection, and hierarchical models
• The merger rate of primordial-black-hole binaries
• Extracting distribution parameters from multiple uncertain observations with selection biases
• Constraints on Earth-mass primordial black holes from OGLE 5-year microlensing events
• Threshold of primordial black hole formation
• Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes
• GW150914: Implications for the stochastic gravitational wave background from binary black holes
• Gravitational Waves from Coalescing Black Hole MACHO Binaries
• The Effect of Pair-Instability Mass Loss on Black Hole Mergers
• Mind the gap: The location of the lower edge of the pair instability supernovae black hole mass gap
• Challenges and Opportunities of Gravitational Wave Searches at MHz to GHz Frequencies
• Duality Invariance of Cosmological Perturbation Spectra
• Primordial black hole dark matter from single field inflation
• 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
• The International Pulsar Timing Array second data release: Search for an isotropic Gravitational Wave Background
• Steepest growth of the power spectrum and primordial black holes
• On the evidence for a common-spectrum process in the search for the nanohertz gravitational-wave background with the Parkes Pulsar Timing Array
• The Mass Distribution of Stellar Black Holes
• Black Holes: The Next Generation -- Repeated Mergers in Dense Star Clusters and their Gravitational-Wave Properties
• Computations of primordial black hole formation
• Formation and Evolution of Primordial Black Hole Binaries in the Early Universe
• One Channel to Rule Them All? Constraining the Origins of Binary Black Holes using Multiple Formation Pathways
• Threshold for primordial black holes: Dependence on the shape of the cosmological perturbations
• NANOGrav Hints to Primordial Black Holes as Dark Matter
• Primordial black hole formation in the early universe: critical behaviour and self-similarity
• CMB polarization from secondary vector and tensor modes
• Primordial black holes as a dark matter candidate are severely constrained by the Galactic Center 511 keV gamma-ray line
• General Relativistic Dynamics of Irrotational Dust: Cosmological Implications
• Common-red-signal analysis with 24-yr high-precision timing of the European Pulsar Timing Array: Inferences in the stochastic gravitational-wave background search
• Single Field Double Inflation and Primordial Black Holes
• The LIGO Open Science Center
• Neutron star tidal deformability and equation of state constraints
• Are LIGO's Black Holes Made From Smaller Black Holes?
• Primordial black hole formation in the radiative era: investigation of the critical nature of the collapse
• Cosmic microwave background bounds on primordial black holes including dark matter halo accretion
• Primordial gravitational waves, precisely: The role of thermodynamics in the Standard Model
• INTEGRAL constraints on primordial black holes and particle dark matter
• The origin of spin in binary black holes: Predicting the distributions of the main observables of Advanced LIGO
• Measuring the binary black hole mass spectrum with an astrophysically motivated parameterization
• Did NANOGrav see a signal from primordial black hole formation?
• Inflationary primordial black holes for the LIGO gravitational wave events and pulsar timing array experiments
• GW170817: Implications for the Stochastic Gravitational-Wave Background from Compact Binary Coalescences
• Understanding caustic crossings in giant arcs: characteristic scales, event rates, and constraints on compact dark matter
• The Primordial Black Hole Dark Matter - LISA Serendipity
• The final spin from binary black holes in quasi-circular orbits
• Stochastic gravitational waves associated with the formation of primordial black holes
• Cosmic Conundra Explained by Thermal History and Primordial Black Holes
• The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription
• Testing Primordial Black Holes as Dark Matter through LISA
• Voyager 1 $e^{\pm }$ Further Constrain Primordial Black Holes as Dark Matter
• Primordial black holes with an accurate QCD equation of state
• Lower bound on the primordial black hole merger rate
• Two populations of LIGO-Virgo black holes
• Constraints on the Primordial Black Hole Abundance from the First Advanced LIGO Observation Run Using the Stochastic Gravitational-Wave Background
• Primordial Black Holes from Inflation and non-Gaussianity
• Generalised constraints on the curvature perturbation from primordial black holes
• Primordial Black Holes from $\alpha$-attractors
• Solar-Mass Primordial Black Holes Explain NANOGrav Hint of Gravitational Waves
• The imprint of massive black hole formation models on the LISA data stream
• Cosmological long-wavelength solutions and primordial black hole formation
• Primordial Black Hole Formation during First-Order Phase Transitions
• Primordial Black Holes Confront LIGO/Virgo data: Current situation
• Constraining primordial black hole abundance with the Galactic 511 keV line
• New binary black hole mergers in the LIGO--Virgo O3a data
• The Ineludible non-Gaussianity of the Primordial Black Hole Abundance
• The Initial Spin Probability Distribution of Primordial Black Holes
• Searching for a subpopulation of primordial black holes in LIGO/Virgo gravitational-wave data
• Early Structure Formation in $\Lambda$PBH Cosmologies
• Primordial Black Holes from Inflation and Quantum Diffusion
• Non-linear metric perturbations and production of primordial black holes
• Primordial Black Holes from Polynomial Potentials in Single Field Inflation
• Primordial black hole formation and abundance: contribution from the non-linear relation between the density and curvature perturbation
• The impact of pair-instability mass loss on the binary black hole mass distribution
• Black Hole Binary Formation in the Expanding Universe --- Three Body Problem Approximation ---
• Primordial Black Holes and Local Non-Gaussianity in Canonical Inflation
• Double inflation as a single origin of primordial black holes for all dark matter and LIGO observations
• Bayesian analysis of LIGO-Virgo mergers: Primordial vs. astrophysical black hole populations
• Curvature profiles as initial conditions for primordial black hole formation
• Impact of the Rotation and Compactness of Progenitors on the Mass of Black Holes
• The GW190521 Mass Gap Event and the Primordial Black Hole Scenario
• Constraining the primordial black hole scenario with Bayesian inference and machine learning: the GWTC-2 gravitational wave catalog
• Searching for Primordial Black Holes in the radio and X-ray sky
• Merger Rate Distribution of Primordial-Black-Hole Binaries
• NANOGrav Signal from the End of Inflation and the LIGO Mass and Heavier Primordial Black Holes
• The Evolution of Primordial Black Holes and their Final Observable Spins
• An isolated mass gap black hole or neutron star detected with astrometric microlensing
• Solving puzzles of GW150914 by primordial black holes
• Primordial black hole formation with non-Gaussian curvature perturbations
• Planck Constraint on Relic Primordial Black Holes
• Revisiting non-Gaussianity from non-attractor inflation models
• Black hole genealogy: Identifying hierarchical mergers with gravitational waves
• Distinguishing Primordial Black Holes from Astrophysical Black Holes by Einstein Telescope and Cosmic Explorer
• The Clustering Evolution of Primordial Black Holes
• New X-ray bound on density of primordial black holes
• Evidence for primordial black hole dark matter from LIGO/Virgo merger rates
• The Spatial Clustering of Primordial Black Holes
• Bayesian Evidence for Both Astrophysical and Primordial Black Holes: Mapping the GWTC-2 Catalog to Third-Generation Detectors
• Constraining primordial black holes as dark matter using the global 21-cm signal with X-ray heating and excess radio background
• Escape speed of stellar clusters from multiple-generation black-hole mergers in the upper mass gap
• Primordial black holes as dark matter and gravitational waves from single-field polynomial inflation
• Near future MeV telescopes can discover asteroid-mass primordial black hole dark matter
• Primordial Black Hole Dark Matter and the LIGO/Virgo observations
• Accounting for Source Uncertainties in Analyses of Astronomical Survey Data
• The Formation Probability of Primordial Black Holes
• Spin of Primordial Black Holes
• Low Mass Black Holes from Dark Core Collapse
• On the merger rate of primordial black holes: effects of nearest neighbours distribution and clustering
• The most ordinary formation of the most unusual double black hole merger
• From Primordial Black Holes Abundance to Primordial Curvature Power Spectrum (and back)
• Correlation function of high-threshold regions and application to the initial small-scale clustering of primordial black holes
• WIMP Dark Matter and the QCD Equation of State
• Primordial Black Holes in Higgs-$R^2$ Inflation as a Whole Dark Matter
• Constraints on Primordial Black Holes: the Importance of Accretion
• Mining Gravitational-wave Catalogs To Understand Binary Stellar Evolution: A New Hierarchical Bayesian Framework
• The impact of stellar rotation on the black hole mass-gap from pair-instability supernovae
• The Emergence of Structure in the Binary Black Hole Mass Distribution
• Hunt for Light Primordial Black Hole Dark Matter with Ultra-High-Frequency Gravitational Waves
• Sensitivity of the lower-edge of the pair instability black hole mass gap to the treatment of time dependent convection
• Impact of Bayesian prior on the characterization of binary black hole coalescences
• Searching for Dark Matter with Neutron Star Mergers and Quiet Kilonovae
• Can we distinguish astrophysical from primordial black holes via the stochastic gravitational wave background?
• Gravitational Waves from Binary Mergers of Sub-solar Mass Dark Black Holes
• Effects of the surrounding primordial black holes on the merger rate of primordial black hole binaries
• The mass gap, the spin gap, and the origin of merging binary black holes
• Primordial black hole merger rates: distributions for multiple LIGO observables
• Gravitational waves from primordial black holes collisions in binary systems
• Stochastic gravitational-wave background as a tool to investigate multi-channel astrophysical and primordial black-hole mergers
• Critical collapse and the primordial black hole initial mass function
• Confronting the primordial black hole scenario with the gravitational-wave events detected by LIGO-Virgo
• Testing Stochastic Gravitational Wave Signals from Primordial Black Holes with Optical Telescopes
• The binary black hole spin distribution likely broadens with redshift
• Bridging the Gap: Categorizing Gravitational-Wave Events at the Transition Between Neutron Stars and Black Holes
• Exploring Features in the Binary Black Hole Population
• On the Primordial Black Hole Mass Function for Broad Spectra
• Prospects for probing gravitational waves from primordial black hole binaries
• Primordial Black Holes from Broad Spectra: Abundance and Clustering
• Could MACHOS be Primordial Black Holes formed during the QCD Epoch?
• The Minimum Testable Abundance of Primordial Black Holes at Future Gravitational-Wave Detectors
• Small-scale structure of primordial black hole dark matter and its implications for accretion
• Effects of the merger history on the merger rate density of primordial black hole binaries
• Multi-wavelength astronomical searches for primordial black holes
• Revisiting small-scale fluctuations in $\alpha$-attractor models of inflation
• Test for the Origin of Solar Mass Black Holes
• Broad search for gravitational waves from subsolar-mass binaries through LIGO and Virgo's third observing run
• Strong constraints on primordial black hole dark matter from 16 years of INTEGRAL/SPI observations
• Ain't No Mountain High Enough: Semi-Parametric Modeling of LIGO-Virgos Binary Black Hole Mass Distribution
• The merger history of primordial-black-hole binaries
• StarTrack predictions of the stochastic gravitational-wave background from compact binary mergers
• The clustering dynamics of primordial black boles in $N$-body simulations
• How to assess the primordial origin of single gravitational-wave events with mass, spin, eccentricity, and deformability measurements
• Black holes in the low mass gap: Implications for gravitational wave observations
• You Can't Always Get What You Want: The Impact of Prior Assumptions on Interpreting GW190412
• Mass and rate of hierarchical black hole mergers in young, globular and nuclear star clusters
• Induced gravitational waves as a cosmological probe of the sound speed during the QCD phase transition
• Missing in Action: New Physics and the Black Hole Mass Gap
• Searching for mass-spin correlations in the population of gravitational-wave events: the GWTC-3 case study
• On the single-event-based identification of primordial black hole mergers at cosmological distances
• Reconstruction of Primordial Power Spectrum of curvature perturbation from the merger rate of Primordial Black Hole Binaries
• Ruling out Initially Clustered Primordial Black Holes as Dark Matter
• Primordial black hole mergers from three-body interactions
• Populating the Black Hole Mass Gaps In Stellar Clusters: General Relations and Upper Limits
• The Importance of Priors on LIGO-Virgo Parameter Estimation: the Case of Primordial Black Holes
• The Astro-Primordial Black Hole Merger Rates: a Reappraisal
• Dancing in the dark: detecting a population of distant primordial black holes
• Cosmic radiation backgrounds from primordial black holes
• Filling the Black Hole Mass Gap: Avoiding Pair Instability in Massive Stars through Addition of Non-Nuclear Energy
• The Third Order Scalar Induced Gravitational Waves
• Testing Primordial Black Holes with multi-band observations of the stochastic gravitational wave background
• The QCD phase transition behind a PBH origin of LIGO/Virgo events?
• Causal Nature and Dynamics of Trapping Horizons in Black Hole Collapse
• Detecting Subsolar-Mass Primordial Black Holes in Extreme Mass-Ratio Inspirals with LISA and Einstein Telescope
• A possible mass distribution of primordial black holes implied by LIGO-Virgo
• Toward the primordial black hole formation threshold in a time-dependent equation-of-state background
• Probing Boson Stars with Extreme Mass Ratio Inspirals
• Constraining the Initial Primordial Black Hole Clustering with CMB-distortion
• Dark Matter Simulations with Primordial Black Holes in the Early Universe
• Establishing the Non-Primordial Origin of Black Hole-Neutron Star Mergers
• Divergence in mass ratio distributions between low-mass and high-mass coalescing binary black holes
• Neutron Star Quantum Death by Small Black Holes
• Impact of the free-streaming neutrinos to the second order induced gravitational waves
• The impact of distant fly-bys on the rate of binary primordial black hole mergers
• A Robust Test of the Existence of Primordial Black Holes in Galactic Dark Matter Halos
• On the detectability of massive black hole merger eventsby LISA
• Effective inspiral spin distribution of primordial black hole binaries
• Limits on Primordial Black Holes from M87
• Primordial blackholes from Gauss-Bonnet-corrected single field inflation
• Sensitivities on non-spinning and spinning primordial black hole dark matter with global 21 cm troughs

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