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The Ineludible non-Gaussianity of the Primordial Black Hole Abundance · Around

2019

The Ineludible non-Gaussianity of the Primordial Black Hole Abundance

De Luca, V., Franciolini, G., Kehagias, A. et al.

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We study the formation of primordial black holes when they are generated by the collapse of large overdensities in the early universe.

Since the density contrast is related to the comoving curvature perturbation by a nonlinear relation, the overdensity statistics is unavoidably non-Gaussian.
We show that the abundance of primordial black holes at formation may not be captured by a perturbative approach which retains the first few cumulants of the non-Gaussian probability distribution.
We provide two techniques to calculate the non-Gaussian abundance of primordial black holes at formation, one based on peak theory and the other on threshold statistics.

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