Effect of stochastic kicks on primordial black hole abundance and mass via the compaction function

Abstract

We study stochastic effects in viable ultra-slow-roll inflation models that produce primordial black holes. We consider asteroid, solar, and supermassive black hole seed masses. In each case, we simulate $10^8$ patches of the universe that may collapse into PBHs. In every patch, we follow $4\times 10^4$ momentum shells to construct its spherically symmetric profile from first principles, without introducing a window function. We include the effects of critical collapse and the radiation era transfer function. The resulting compaction function profiles are very spiky due to stochastic kicks. This can enhance the PBH abundance by up to 36 orders of magnitude, depending on the mass range and collapse criterion. The PBH mass function shifts to higher masses and widens significantly. These changes may have a large effect on observational constraints of PBHs and make it possible to generate PBHs with a smaller amplitude of the power spectrum. However, convergence issues for the mass function remain. The results call for redoing collapse simulations to determine the collapse criterion for spiky profiles.

v2. 31+17 pages, 12 figures. Added references and clarifications. Published version

References in corpus (102)

• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• Primordial Black Holes as a dark matter candidate
• The Assembly of the First Massive Black Holes
• Primordial black hole dark matter from single field inflation
• Primordial Black Holes and Slow-Roll Violation
• Primordial black hole formation in the radiative era: investigation of the critical nature of the collapse
• Stochastic gravitational waves associated with the formation of primordial black holes
• 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
• Microlensing and dynamical constraints on primordial black hole dark matter with an extended mass function
• Generation of fluctuations during inflation: comparison of stochastic and field-theoretic approaches
• The exponential tail of inflationary fluctuations: consequences for primordial black holes
• Ultra slow-roll inflation demystified
• Stochastic growth of quantum fluctuations during slow-roll inflation
• Primordial non-gaussianity up to all orders: theoretical aspects and implications for primordial black hole models
• Non-Gaussian tail of the curvature perturbation in stochastic ultra-slow-roll inflation: implications for primordial black hole production
• Anatomy of single-field inflationary models for primordial black holes
• The power spectrum on small scales: Robust constraints and comparing PBH methodologies
• The Formation Probability of Primordial Black Holes
• Non-perturbative non-Gaussianity and primordial black holes
• Separate Universes Do Not Constrain Primordial Black Hole Formation
• Ultra-slow-roll inflation with quantum diffusion
• Logarithmic Duality of the Curvature Perturbation
• Implications for the non-Gaussianity of curvature perturbation from pulsar timing arrays
• Analytical thresholds for black hole formation in general cosmological backgrounds
• Questions on calculation of primordial power spectrum with large spikes: the resonance model case
• PBH formation from spherically symmetric hydrodynamical perturbations: a review
• Effect of nonlinearity between density and curvature perturbations on the primordial black hole formation
• Constraining Primordial Black Hole Formation from Single-Field Inflation
• Implications of stochastic effects for primordial black hole production in ultra-slow-roll inflation
• Highly non-Gaussian tails and primordial black holes from single-field inflation
• The Detected Stochastic Gravitational Waves and Subsolar-Mass Primordial Black Holes
• Implications of Pulsar Timing Array Data for Scalar-Induced Gravitational Waves and Primordial Black Holes: Primordial Non-Gaussianity $f_{\mathrm{NL}}$ Considered
• No-go for the formation of heavy mass Primordial Black Holes in Single Field Inflation
• Peaks and primordial black holes: the effect of non-Gaussianity
• Multi-messenger Probes of Inflationary Fluctuations and Primordial Black Holes
• Squeezed bispectrum and one-loop corrections in transient constant-roll inflation
• One Small Step for an Inflaton, One Giant Leap for Inflation: a novel non-Gaussian tail and primordial black holes
• Primordial black holes from single-field inflation: a fine-tuning audit
• Power spectrum in stochastic inflation
• Threshold of Primordial Black Hole Formation in Nonspherical Collapse
• Note on the bispectrum and one-loop corrections in single-field inflation with primordial black hole formation
• Statistics of coarse-grained cosmological fields in stochastic inflation
• 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 black holes and gravitational waves induced by exponential-tailed perturbations
• Cancellation of quantum corrections on the soft curvature perturbations
• Primordial perturbations from ultra-slow-roll single-field inflation with quantum loop effects
• Stochastic inflation at all order in slow-roll parameters: foundations
• Numerical 1-loop correction from a potential yielding ultra-slow-roll dynamics
• The separate-universe approach and sudden transitions during inflation
• Effects of the shape of curvature peaks on the size of primordial black holes
• A Note on the Abundance of Primordial Black Holes: Use and Misuse of the Metric Curvature Perturbation
• Solving peak theory in the presence of local non-gaussianities
• Close encounters of the primordial kind: a new observable for primordial black holes as dark matter
• Loop contributions to the scalar power spectrum due to quartic order action in ultra slow roll inflation
• Clustering of primordial black holes from quantum diffusion during inflation
• The separate universe problem: 40 years on
• Formation of trapped vacuum bubbles during inflation, and consequences for PBH scenarios
• Primordial black holes and induced gravitational waves from logarithmic non-Gaussianity
• The Primordial Black Hole Abundance: The Broader, the Better
• Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics II: Quartic interactions and consistency relations
• The double formation of primordial black holes
• Comparing sharp and smooth transitions of the second slow-roll parameter in single-field inflation
• Numerical stochastic inflation constrained by frozen noise
• How open is the asteroid-mass primordial black hole window?
• Proving the absence of large one-loop corrections to the power spectrum of curvature perturbations in transient ultra-slow-roll inflation within the path-integral approach
• Primordial black hole compaction function from stochastic fluctuations in ultra-slow-roll inflation
• Numerical simulation of type II primordial black hole formation
• Stochastic Inflation in General Relativity
• STOLAS: STOchastic LAttice Simulation of cosmic inflation
• Absence of one-loop effects on large scales from small scales in non-slow-roll dynamics
• Smooth coarse-graining and colored noise dynamics in stochastic inflation
• Stochastic inflation beyond slow roll: noise modelling and importance sampling
• Primordial Black Hole formation from overlapping cosmological fluctuations
• Quantum diffusion and large primordial perturbations from inflation
• Primordial Black Hole Formation from Power Spectrum with Finite-width
• Conservation of superhorizon curvature perturbations at one loop: Backreaction in the in-in formalism and Renormalization
• Anisotropic separate universe and Weinberg's adiabatic mode
• Beyond the first galaxies primordial black holes shine
• Extended $\delta N$ formalism: Nonspatially Flat Separate Universe Approach
• Non-spherical effects on the mass function of Primordial Black Holes
• Unexpected shape of the primordial black hole mass function
• Constant roll and non-Gaussian tail in light of logarithmic duality
• Role of the counterterms in the conservation of superhorizon curvature perturbations at one loop
• The History of Primordial Black Holes
• Incorporating Backreaction in One-Loop Corrections in Ultra-Slow-Roll Inflation
• Primordial Black Holes in the Solar System
• An update on adiabatic modes in cosmology and $\delta$N formalism
• Simulations of Ellipsoidal Primordial Black Hole Formation
• Primordial black holes in cosmological simulations: growth prospects for supermassive black holes
• Threshold for PBH formation in the type-II region and its analytical estimation
• Constraints on asteroid-mass primordial black holes in dwarf galaxies using Hubble Space Telescope photometry
• Stochastic inflation with gradient interactions
• A numerical approach to stochastic inflation and primordial black holes
• Stochastic inflation and non-perturbative power spectrum beyond slow roll
• Itô, Stratonovich, and zoom-in schemes in stochastic inflation
• Hamiltonian formalism for cosmological perturbations: fixing the gauge
• On the Hamilton-Jacobi approach to inflation beyond slow roll
• Generating large primordial fluctuations in single-field inflation for PBH formation
• The validity of separate-universe approach in transient ultra-slow-roll inflation