A numerical approach to stochastic inflation and primordial black holes

Abstract

Certain models of cosmic inflation produce strong cosmological perturbations at short length scales, which may later collapse into primordial black holes. To find the statistics of these strong perturbations and the ensuing black holes, it is necessary to go beyond linear perturbation theory. Stochastic inflation provides a way to take the leading non-linear effects into account. In this contribution, I discuss recent progress in numerical computations of stochastic inflation. A numerical approach can include more of the non-linearities than an analytical calculation, and can be applied to single-field inflationary models with any potential.

5 pages, 2 figures. Based on Phys.Rev.Lett. 127 (2021) 10, 101302, arXiv:2012.06551. Proceedings of the 17th International Conference on Topics in Astroparticle and Underground Physics (TAUP 2021)

References in corpus (3)

• Primordial Black Holes as Dark Matter: Recent Developments
• Primordial Black Holes as a dark matter candidate
• Non-Gaussian tail of the curvature perturbation in stochastic ultra-slow-roll inflation: implications for primordial black hole production

Cited by in corpus (5)

• Stochastic constant-roll inflation and primordial black holes
• Numerical stochastic inflation constrained by frozen noise
• Itô, Stratonovich, and zoom-in schemes in stochastic inflation
• Eternal inflation near inflection points: a challenge to primordial black hole models
• Effect of stochastic kicks on primordial black hole abundance and mass via the compaction function