# The ineludible non-Gaussianity of the primordial black hole abundance

@article{Luca2019TheIN, title={The ineludible non-Gaussianity of the primordial black hole abundance}, author={Valerio De Luca and Gabriele Franciolini and Alexandros A. Kehagias and Marco Peloso and Antonio Walter Riotto and Caner {\"U}nal}, journal={Journal of Cosmology and Astroparticle Physics}, year={2019}, volume={2019}, pages={048 - 048} }

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…

## 83 Citations

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