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Article Dans Une Revue EPL - Europhysics Letters Année : 2023

Non-perturbative non-Gaussianity and primordial black holes

Résumé

We present a non-perturbative method for calculating the abundance of primordial black holes given an arbitrary one-point probability distribution function for the primordial curvature perturbation, $P(\zeta)$. A non-perturbative method is essential when considering non-Gaussianities that cannot be treated using a conventional perturbative expansion. To determine the full statistics of the density field, we relate $\zeta$ to a Gaussian field by equating the cumulative distribution functions. We consider two examples: a specific local-type non-Gaussian distribution arising from ultra slow roll models, and a general piecewise model for $P(\zeta)$ with an exponential tail. We demonstrate that the enhancement of primordial black hole formation is due to the intermediate regime, rather than the far tail. We also show that non-Gaussianity can have a significant impact on the shape of the primordial black hole mass distribution.

Dates et versions

hal-03877906 , version 1 (29-11-2022)

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Andrew D. Gow, Hooshyar Assadullahi, Joseph H.P. Jackson, Kazuya Koyama, Vincent Vennin, et al.. Non-perturbative non-Gaussianity and primordial black holes. EPL - Europhysics Letters, 2023, 142 (4), pp.49001. ⟨10.1209/0295-5075/acd417⟩. ⟨hal-03877906⟩
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