English

Non-Gaussianities and Primordial Black Holes

Cosmology and Nongalactic Astrophysics 2025-06-11 v3 High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

The most promising mechanism of generating PBHs is by the enhancement of power spectrum of the primordial curvature perturbation, which is usually accompanied by the the enhancement of non-Gaussianity that crucially changes the abundance of PBHs. In this review I will discuss how non-Gaussianity is generated in single field inflation as well as in the curvaton scenario, and then discuss how to calculate PBH mass function and induced gravitational waves (GWs) with such non-Gaussianities. When the PBH abundance is fixed, non-Gaussianity only has mild impact on the spectral shape of the induced GWs, which gives relatively robust predictions in the mHz and nHz GW experiments.

Keywords

Cite

@article{arxiv.2404.06151,
  title  = {Non-Gaussianities and Primordial Black Holes},
  author = {Shi Pi},
  journal= {arXiv preprint arXiv:2404.06151},
  year   = {2025}
}

Comments

Chapter 7 (Non-Gaussianities and Primordial Black Holes) in the book "Primordial Black Holes'', Springer 2024, Ed. Christian Byrnes, Gabriele Franciolini, Tomohiro Harada, Paolo Pani, and Misao Sasaki. ISBN: 978-981-97-8887-3. 46 pages, 13 figures, 1 table. Minor revisions. Published version