Primordial black holes from metric preheating: mass fraction in the excursion-set approach

Abstract

We calculate the mass distribution of Primordial Black Holes (PBHs) produced during metric preheating. After inflation, the oscillations of the inflaton at the bottom of its potential source a parametric resonant instability for small-scale scalar perturbations, that may collapse into black holes. After reviewing in a pedagogical way different techniques that have been developed in the literature to compute mass distributions of PBHs, we focus on the excursion-set approach. We derive a Volterra integral equation that is free of a singularity sometimes encountered, and apply it to the case of metric preheating. We find that if the energy density at which the instability stops, ${\rho }_{\Gamma }$, is sufficiently smaller than the one at which inflation ends, ${\rho }_{\mathrm{end}}$, namely if ${\rho }_{\Gamma }^{1/4}/{\rho }_{\mathrm{end}}^{1/4}<10^{-5}({\rho }_{\mathrm{end}}^{1/4}/10^{16}\mathrm{GeV}{)}^{3/2}$, then PBHs dominate the universe content at the end of the oscillatory phase. This confirms the previous analysis of arXiv:1907.04236 . By properly accounting for the "cloud-in-cloud" mechanism, we find that the mass distribution is more suppressed at low masses than previously thought, and peaks several orders of magnitude above the Hubble mass at the end of inflation. The peak mass ranges from $10$ g to stellar masses, giving rise to different possible cosmological effects that we discuss.

arXiv commentMatches the published version on JCAP

References in corpus (37)

• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• Towards the Theory of Reheating After Inflation
• Encyclopaedia Inflationaris
• Primordial Black Hole Scenario for the Gravitational-Wave Event GW150914
• A new approach to the evolution of cosmological perturbations on large scales
• Cosmological perturbations
• Properties and astrophysical implications of the 150 Msun binary black hole merger GW190521
• Semiclassicality and Decoherence of Cosmological Perturbations
• Threshold of primordial black hole formation
• Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes
• 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
• Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) analysis ---
• Primordial black hole formation in the radiative era: investigation of the critical nature of the collapse
• Primordial Black Holes as Dark Matter: The Power Spectrum and Evaporation of Early Structures
• Could supermassive black holes be quintessential primordial black holes?
• Primordial black holes with an accurate QCD equation of state
• Parametric Amplification of Gravitational Fluctuations During Reheating
• Cosmological long-wavelength solutions and primordial black hole formation
• Quantum-to-classical Transition of Cosmological Perturbations for Non-vacuum Initial States
• Critical phenomena in gravitational collapse (Physics Reports)
• Quantum Discord of Cosmic Inflation: Can we Show that CMB Anisotropies are of Quantum-Mechanical Origin?
• Primordial black holes from the preheating instability
• The primordial black hole formation criterion re-examined: parameterisation, timing, and the choice of window function
• Non-linear statistics of primordial black holes from gaussian curvature perturbations
• Primordial black hole production due to preheating
• Peaks theory and the excursion set approach
• Critical phenomena in gravitational collapse - Living Reviews
• On Random Walks with a General Moving Barrier
• Metric preheating and radiative decay in single-field inflation
• The Cloud-in-Cloud Problem in the Press-Schechter Formalism of Hierarchical Structure Formation
• Limitation of the Press-Schechter Formalism
• The importance of stepping up in the excursion set approach
• The Excursion set approach: Stratonovich approximation and Cholesky decomposition
• A Solution to the Missing Link in the Press-Schechter Formalism
• Black hole formation from massive scalar field collapse in the Einstein-de Sitter universe
• A novel formulation of the PBH mass function

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• Cosmology with the Laser Interferometer Space Antenna
• Inflation and Primordial Black Holes
• Gravitational waves induced from primordial black hole fluctuations: The effect of an extended mass function
• The Gravitational-Wave Physics II: Progress
• Quantum loop effects on the power spectrum and constraints on primordial black holes
• Primordial Black Holes
• Galileon inflation evades the no-go for PBH formation in the single-field framework
• No-go for the formation of heavy mass Primordial Black Holes in Single Field Inflation
• Primordial black holes from stochastic tunnelling
• Evaporation of Primordial Black Holes in the Early Universe: Mass and Spin Distributions
• ALP Dark Matter in a Primordial Black Hole Dominated Universe
• Primordial non-Gaussianity from ultra slow-roll Galileon inflation
• Constraints on primordial black holes from LIGO-Virgo-KAGRA O3 events
• Primordial non-Gaussianity as a saviour for PBH overproduction in SIGWs generated by Pulsar Timing Arrays for Galileon inflation
• Real-space entanglement in the Cosmic Microwave Background
• Realisation of the ultra-slow roll phase in Galileon inflation and PBH overproduction
• Slow-Roll Inflation at N3LO
• Large fluctuations and Primordial Black Holes
• Threshold of Primordial Black Hole Formation against Velocity Dispersion in Matter-Dominated Era
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• Primordial black hole versus inflaton
• Gauge preheating with full general relativity
• Primordial Black Hole Formation in Non-Standard Post-Inflationary Epochs
• Small-scale clustering of Primordial Black Holes: cloud-in-cloud and exclusion effects
• Primordial Black Holes Are True Vacuum Nurseries
• Regularized-Renormalized-Resummed loop corrected power spectrum of non-singular bounce with Primordial Black Hole formation
• Complex Scalar Field Reheating and Primordial Black Hole production
• Untangling PBH overproduction in $w$-SIGWs generated by Pulsar Timing Arrays for MST-EFT of single field inflation
• Primordial Black Holes in the Excursion Set Theory
• Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Long-wavelength non-linear perturbations of a complex scalar field
• Production and evaporation of micro black holes as a link between mirror universes
• Primordial blackholes from Gauss-Bonnet-corrected single field inflation
• Unifying inflationary and reheating solution
• Primordial Black Holes: A Review of Formation and Evolution
• Excursion-set for Primordial Black Holes I: white noise and moving barrier
• A Faster Growth of Perturbations in an Early Matter Dominated Epoch: Primordial Black Holes and Gravitational Waves