Primordial non-gaussianity up to all orders: theoretical aspects and implications for primordial black hole models

Abstract

We develop an exact formalism for the computation of the abundance of primordial black holes (PBHs) in the presence of local non-gaussianity (NG) in the curvature perturbation field. For the first time, we include NG going beyond the widely used quadratic and cubic approximations, and consider a completely generic functional form. Adopting threshold statistics of the compaction function, we address the computation of the abundance both for narrow and broad power spectra. While our formulas are generic, we discuss explicit examples of phenomenological relevance considering the physics case of the curvaton field. We carefully assess under which conditions the conventional perturbative approach can be trusted. In the case of a narrow power spectrum, this happens only if the perturbative expansion is pushed beyond the quadratic order (with the optimal order of truncation that depends on the width of the spectrum). Most importantly, we demonstrate that the perturbative approach is intrinsically flawed when considering broad spectra, in which case only the non-perturbative computation captures the correct result. Finally, we describe the phenomenological relevance of our results for the connection between the abundance of PBHs and the stochastic gravitational wave (GW) background related to their formation. As NGs modify the amplitude of perturbations necessary to produce a given PBHs abundance and boost PBHs production at large scales for broad spectra, modelling these effects is crucial to connect the PBH scenario to its signatures at current and future GWs experiments.

arXiv comment29 pages + 12 figures, v2: references added, version published in PRD

References in corpus (99)

• New cosmological constraints on primordial black holes
• Constraints on Primordial Black Holes
• Limits on the Macho Content of the Galactic Halo from the EROS-2 Survey of the Magellanic Clouds
• Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -
• The primordial density perturbation in the curvaton scenario
• 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
• The cosmological gravitational wave background from primordial density perturbations
• Second-Order Cosmological Perturbations from Inflation
• Primordial Black Holes as a dark matter candidate
• 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
• Detector configuration of DECIGO/BBO and identification of cosmological neutron-star binaries
• Gravitational waves from binary supermassive black holes missing in pulsar observations
• Gravitational Waves Induced by non-Gaussian Scalar Perturbations
• Constraints on Earth-mass primordial black holes from OGLE 5-year microlensing events
• Non-Gaussianity of the primordial perturbation in the curvaton model
• A Cosmological Signature of the SM Higgs Instability: Gravitational Waves
• Primordial black hole dark matter from single field inflation
• Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity
• New Horizons for Fundamental Physics with LISA
• Primordial Black Holes and Slow-Roll Violation
• Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid
• 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
• Single Field Double Inflation and Primordial Black Holes
• Cosmic microwave background bounds on primordial black holes including dark matter halo accretion
• INTEGRAL constraints on primordial black holes and particle dark matter
• The abundance of primordial black holes depends on the shape of the inflationary power spectrum
• Inflationary primordial black holes for the LIGO gravitational wave events and pulsar timing array experiments
• Understanding caustic crossings in giant arcs: characteristic scales, event rates, and constraints on compact dark matter
• Stochastic gravitational waves associated with the formation of primordial black holes
• Calculating the mass spectrum of primordial black holes
• The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription
• Revisiting constraints on asteroid-mass primordial black holes as dark matter candidates
• Voyager 1 $e^{\pm }$ Further Constrain Primordial Black Holes as Dark Matter
• Primordial black holes with an accurate QCD equation of state
• Two populations of LIGO-Virgo black holes
• Primordial Black Holes from Inflation and non-Gaussianity
• Primordial Black Holes from $\alpha$-attractors
• Large-scale curvature and entropy perturbations for multiple interacting fluids
• 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
• Constraining primordial black hole abundance with the Galactic 511 keV line
• The Ineludible non-Gaussianity of the Primordial Black Hole Abundance
• Searching for a subpopulation of primordial black holes in LIGO/Virgo gravitational-wave data
• Primordial black hole formation and abundance: contribution from the non-linear relation between the density and curvature perturbation
• Non-linear metric perturbations and production of primordial black holes
• Primordial Black Holes from Polynomial Potentials in Single Field Inflation
• Black Holes' Dark Dress: On the merger rate of a subdominant population of primordial black holes
• 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
• PBH abundance from random Gaussian curvature perturbations and a local density threshold
• Constraining the primordial black hole scenario with Bayesian inference and machine learning: the GWTC-2 gravitational wave catalog
• Non-Gaussianity and the induced gravitational wave background
• Solving puzzles of GW150914 by primordial black holes
• 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
• Planck Constraint on Relic Primordial Black Holes
• Distinguishing Primordial Black Holes from Astrophysical Black Holes by Einstein Telescope and Cosmic Explorer
• Bayesian Evidence for Both Astrophysical and Primordial Black Holes: Mapping the GWTC-2 Catalog to Third-Generation Detectors
• Non-linear statistics of primordial black holes from gaussian curvature perturbations
• Constraining primordial black holes as dark matter using the global 21-cm signal with X-ray heating and excess radio background
• 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
• The Formation Probability of Primordial Black Holes
• Abundance of primordial black holes with local non-Gaussianity in peak theory
• Primordial Black Holes in Higgs-$R^2$ Inflation as a Whole Dark Matter
• Primordial black holes in peak theory with a non-Gaussian tail
• NANOGrav results and LIGO-Virgo primordial black holes in axion-like curvaton model
• Constraints of relic gravitational waves by Pulsar Timing Array: Forecasts for the FAST and SKA projects
• Effect of nonlinearity between density and curvature perturbations on the primordial black hole formation
• Non-Gaussianity from Curvatons Revisited
• Highly non-Gaussian tails and primordial black holes from single-field inflation
• Gravitational waves induced by the local-type non-Gaussian curvature perturbations
• Stochastic gravitational-wave background as a tool to investigate multi-channel astrophysical and primordial black-hole mergers
• Non-Gaussian Formation of Primordial Black Holes: Effects on the Threshold
• On the Primordial Black Hole Mass Function for Broad Spectra
• Peaks and primordial black holes: the effect of non-Gaussianity
• Primordial black hole constraints for curvaton models with predicted large non-Gaussianity
• Prospects for probing gravitational waves from primordial black hole binaries
• The Minimum Testable Abundance of Primordial Black Holes at Future Gravitational-Wave Detectors
• Revisiting small-scale fluctuations in $\alpha$-attractor models of inflation
• Strong constraints on primordial black hole dark matter from 16 years of INTEGRAL/SPI observations
• Induced gravitational waves as a cosmological probe of the sound speed during the QCD phase transition
• 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
• Solving peak theory in the presence of local non-gaussianities
• Dancing in the dark: detecting a population of distant primordial black holes
• The effect of outflows on CMB bounds from Primordial Black Hole accretion
• 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

Cited by in corpus (71)

• The recent gravitational wave observation by pulsar timing arrays and primordial black holes: the importance of non-gaussianities
• Inflation and Primordial Black Holes
• Non-perturbative non-Gaussianity and primordial black holes
• Probing the equation of state of the early Universe with pulsar timing arrays
• Logarithmic Duality of the Curvature Perturbation
• Implications for the non-Gaussianity of curvature perturbation from pulsar timing arrays
• The Science of the Einstein Telescope
• Search for scalar induced gravitational waves in the International Pulsar Timing Array Data Release 2 and NANOgrav 12.5 years datasets
• Primordial black holes from single-field inflation: a fine-tuning audit
• Primordial black hole formation during the QCD phase transition: threshold, mass distribution and abundance
• Primordial black holes in the curvaton model: possible connections to pulsar timing arrays and dark matter
• One loop to rule them all: Perturbativity in the presence of ultra slow-roll dynamics
• Stochastic constant-roll inflation and primordial black holes
• Curbing PBHs with PTAs
• Primordial non-Gaussianity from ultra slow-roll Galileon inflation
• Constraints on primordial black holes from LIGO-Virgo-KAGRA O3 events
• Induced Gravitational Wave interpretation of PTA data: a complete study for general equation of state
• Bayesian Implications for the Primordial Black Holes from NANOGrav's Pulsar-Timing Data Using the Scalar-Induced Gravitational Waves
• Observational imprints of enhanced scalar power on small scales in ultra slow roll inflation and associated non-Gaussianities
• 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
• Realisation of the ultra-slow roll phase in Galileon inflation and PBH overproduction
• Complete analysis of the background and anisotropies of scalar-induced gravitational waves: primordial non-Gaussianity $f_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$ considered
• Enhanced Curvature Perturbation and Primordial Black Hole Formation in Two-stage Inflation with a break
• Clustering of primordial black holes from quantum diffusion during inflation
• Highly asymmetric probability distribution from a finite-width upward step during inflation
• Large fluctuations and Primordial Black Holes
• The Primordial Black Hole Abundance: The Broader, the Better
• Primordial black holes and induced gravitational waves from logarithmic non-Gaussianity
• Lensing constraints on ultradense dark matter halos
• Primordial black holes from a curvaton scenario with strongly non-Gaussian perturbations
• Primordial black hole compaction function from stochastic fluctuations in ultra-slow-roll inflation
• Primordial black holes and inflation from double-well potentials
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• Quest for CMB spectral distortions to probe the scalar-induced gravitational wave background interpretation of pulsar timing array data
• Exploring Critical Overdensity Thresholds in Inflationary Models of Primordial Black Holes Formation
• 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 with QCD Color Charge
• Primordial black holes: constraints, potential evidence and prospects
• Gravitational waves in ultra-slow-roll and their anisotropy at two loops
• Extended $\delta N$ formalism: Nonspatially Flat Separate Universe Approach
• The Irrelevance of Primordial Black Hole Clustering in the LVK mass range
• Angular bispectrum and trispectrum of scalar-induced gravitational waves: all contributions from primordial non-Gaussianity $f_{\mathrm{NL}}$ and $g_{\mathrm{NL}}$
• Search for a gravitational wave background from primordial black hole binaries using data from the first three LIGO-Virgo-KAGRA observing runs
• Primordial regular black holes as all the dark matter. III. Covariant canonical quantum gravity models
• Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
• Feeding plankton to whales: high-redshift supermassive black holes from tiny black hole explosions
• Ultra-Slow-Roll Inflation on the Lattice II: Nonperturbative Curvature Perturbation
• Is the formation of primordial black holes from single-field inflation compatible with standard cosmology?
• Primordial Black Holes and Scalar-induced Gravitational Waves in Sneutrino Hybrid Inflation
• Robust μ-distortion constraints on primordial supermassive black holes from cubic (gNL) non-Gaussian perturbations
• Primordial black hole isocurvature modes from non-Gaussianity
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Primordial Black-Hole-Based Pathways to Little Red Dots
• Stochastic inflation and non-perturbative power spectrum beyond slow roll
• Implications for Pulsar Timing Arrays of Sub-solar Black Hole Detections: From LVK to Einstein Telescope and Cosmic Explorer
• Non-Gaussianities and Primordial Black Holes
• Dip and non-linearity in the curvature perturbation from inflation with a transient non-slow-roll stage
• Beware of the running $n_s$ when producing heavy primordial black holes
• Primordial black holes from the ultraslow-roll phase in the inflaton--curvaton mixed field inflation
• Primordial black holes and scalar-induced gravitational waves from the polynomial attractor model
• $\delta N$ formalism with gradient interactions
• Eternal inflation near inflection points: a challenge to primordial black hole models
• Numerical simulations of primordial black hole formation via delayed first-order phase transitions
• Effect of stochastic kicks on primordial black hole abundance and mass via the compaction function
• Dynamical axisymmetric compact objects in General Relativity
• The Dark Side of the Moon: Listening to Scalar-Induced Gravitational Waves
• Purely quadratic non-Gaussianity from tachyonic instability: Primordial black holes and scalar-induced gravitational waves
• Primordial Black Holes: A Review of Formation and Evolution