Kavli Affiliate: Misao Sasaki
| First 5 Authors: Shi Pi, Misao Sasaki, Volodymyr Takhistov, Jianing Wang,
| 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 accurate 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.
By introducing a window function to account for relevant perturbation scales
for PBHs of different masses, as well as a filter function circumventing
overproduction of small PBHs, we find that previous studies might have
dramatically overestimated the abundance of PBHs by up to $mathcal{O}(10)$
orders of magnitude.
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