Primordial black holes in peak theory with a non-Gaussian tail

Abstract

In this paper, we update the peak theory for the estimation of the primordial black hole (PBH) abundance, particularly by implementing the critical behavior in the estimation of the PBH mass and employing the averaged compaction function for the PBH formation criterion to relax the profile dependence. We apply our peak theory to a specific non-Gaussian feature called the exponential tail, which is characteristic in ultra slow-roll models of inflation. With this type of non-Gaussianity, the probability of a large perturbation is not suppressed by the Gaussian factor but decays only exponentially, so the PBH abundance is expected to be much enhanced. Not only do we confirm this enhancement even compared to the case of the corresponding nonlinearity parameter $f_{\mathrm{NL}}=5/2$, but also we find that the resultant PBH mass spectrum has a characteristic maximal mass which is not seen in the simple Press--Schechter approach.

25 pages, 9 figures; v2: published version

References in corpus (14)

• Primordial Black Holes as Dark Matter
• Constraints on Earth-mass primordial black holes from OGLE 5-year microlensing events
• 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
• Calculating the mass spectrum of primordial black holes
• Stochastic gravitational waves associated with the formation of primordial black holes
• Gravitational waves at interferometer scales and primordial black holes in axion inflation
• Generalised constraints on the curvature perturbation from primordial black holes
• Separate Universes Do Not Constrain Primordial Black Hole Formation
• Effect of nonlinearity between density and curvature perturbations on the primordial black hole formation
• Constraints on amplitudes of curvature perturbations from primordial black holes
• Reconstruction of Primordial Power Spectrum of curvature perturbation from the merger rate of Primordial Black Hole Binaries
• Can Primordial Black Holes as all Dark Matter explain Fast Radio Bursts?
• Searching for a Black Hole in the Outer Solar System

Cited by in corpus (18)

• Primordial non-gaussianity up to all orders: theoretical aspects and implications for primordial black hole models
• Non-perturbative non-Gaussianity and primordial black holes
• Logarithmic Duality of the Curvature Perturbation
• PBH formation from spherically symmetric hydrodynamical perturbations: a review
• Primordial Black Holes
• Implications of stochastic effects for primordial black hole production in ultra-slow-roll inflation
• 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
• Revisiting small-scale fluctuations in $\alpha$-attractor models of inflation
• Primordial black holes from stochastic tunnelling
• Statistics of coarse-grained cosmological fields in stochastic inflation
• Primordial Black Hole Formation in Non-Minimal Curvaton Scenario
• Primordial black holes and gravitational waves induced by exponential-tailed perturbations
• Bayesian Implications for the Primordial Black Holes from NANOGrav's Pulsar-Timing Data Using the Scalar-Induced Gravitational Waves
• Numerical simulations of stochastic inflation using importance sampling
• Tracking the origin of black holes with the stochastic gravitational wave background popcorn signal
• Threshold of Primordial Black Hole Formation against Velocity Dispersion in Matter-Dominated Era
• Enhance Primordial Black Hole Abundance through the Non-linear Processes around Bounce Point