Non-perturbative non-Gaussianity and primordial black holes by Andrew D. Gow et al. on Tuesday 22 November

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.

arXiv: http://arxiv.org/abs/http://arxiv.org/abs/2211.08348v2