Kavli Affiliate: Misao Sasaki
| First 5 Authors: , , , ,
| Summary:
Primordial black holes (PBHs) can form from gravitational collapse of large
overdensities in the early Universe, giving rise to rich phenomena in
astrophysics and cosmology. We develop a novel, general, and systematic method
based on theory of density contrast peaks to calculate the abundance of PBHs
for a broad power spectrum of curvature perturbations with Gaussian statistics.
We introduce a window function to account for the relevant perturbation scales
associated with PBHs of different masses, along with a filter function that
removes unphysical contributions from super-horizon-scale overdensities. While
some uncertainties remain due to the limited understanding of the nonlinear
collapse process, our approach substantially reduces the discrepancy previously
observed between peaks theory and the Press-Schechter formalism.
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