Pitfalls of a power-law parameterization of the primordial power spectrum for Primordial Black Hole formation

Abstract

Primordial Black Holes (PBHs) can form in the radiation dominated early Universe from the collapse of large density perturbations produced by inflation. A power-law parameterisation of the primordial power spectrum is often used to extrapolate from cosmological scales, where the amplitude of the perturbations is well-measured by Cosmic Microwave Background and Large Scale Structure observations, down to the small scales on which PBHs may form. We show that this typically leads to large errors in the amplitude of the fluctuations on small scales, and hence extremely inaccurate calculations of the abundance of PBHs formed.

7 pages, 4 figures, v2: version to appear in Phys. Rev. D with minor changes to text

References in corpus (15)

• Primordial Black Holes as Dark Matter
• 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 -
• Cosmic microwave background limits on accreting primordial black holes
• Primordial black hole dark matter from single field inflation
• Primordial Black Holes and Slow-Roll Violation
• Primordial Black Holes from Inflation and non-Gaussianity
• Generalised constraints on the curvature perturbation from primordial black holes
• The end of the MACHO era- revisited: new limits on MACHO masses from halo wide binaries
• Double inflation as a single origin of primordial black holes for all dark matter and LIGO observations
• Minimally Parametric Power Spectrum Reconstruction from the Lyman-alpha Forest
• Primordial black holes from inflaton and spectator field perturbations in a matter-dominated era
• Limits on the Mass and Abundance of Primordial Black Holes from Quasar Gravitational Microlensing
• Generating Primordial Black Holes Via Hilltop-Type Inflation Models
• Slow-roll reconstruction for running spectral index

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• Primordial Black Hole Formation in Starobinsky's Linear Potential Model
• Reconstruction of Power Spectrum of Primordial Curvature Perturbations on small scales from Primordial Black Hole Binaries scenario of LIGO/VIRGO detection
• Formation of Primordial Black Holes from Warm Inflation
• Primordial Tensor Perturbation in Double Inflationary Scenario with a Break
• Primordial Black Holes from Pre-Big Bang inflation
• Fundamental Physics and Cosmology with TianQin
• Primordial black hole formation in $\alpha$-attractor models: an analysis using optimized peaks theory