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R.-g. Cai, S. Pi, and M. Sasaki, “Gravitational Waves Induced by non-Gaussian Scalar Perturbations,”
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2023

Non-Gaussianities and the large $|\eta|$ approach to inflation

Tasinato, Gianmassimo

Understand

The physics of primordial black holes can be affected by the non-Gaussian statistics of the density fluctuations that generate them.

Therefore, it is important to have good theoretical control of the higher-order correlation functions for primordial curvature perturbations.
By working at leading order in a $1/|\eta|$ expansion, we analytically determine the bispectrum of curvature fluctuations for single field inflationary scenarios producing primordial black holes.
The bispectrum has a rich scale and shape dependence, and its features depend on the dynamics of the would-be decaying mode.