# Primordial black holes from single field models of inflation

## TL;DR

This paper demonstrates that single-field inflation models with a near-inflection point can produce a peak in the curvature power spectrum, leading to primordial black holes that could account for all dark matter, consistent with current constraints.

## Contribution

It introduces a simple single-field inflation model with a near-inflection point that generates a peak in the power spectrum, producing primordial black holes as dark matter candidates.

## Key findings

- A peak in the power spectrum can form in single-field inflation models.
- Primordial black holes from this peak can account for all dark matter.
- Predicted PBH mass range is broad and testable by future detectors.

## Abstract

Primordial black holes (PBH) have been shown to arise from high peaks in the matter power spectra of multi-field models of inflation. Here we show, with a simple toy model, that it is also possible to generate a peak in the curvature power spectrum of single-field inflation. We assume that the effective dynamics of the inflaton field presents a near-inflection point which slows down the field right before the end of inflation and gives rise to a prominent spike in the fluctuation power spectrum at scales much smaller than those probed by Cosmic Microwave Background (CMB) and Large Scale Structure (LSS) observations. This peak will give rise, upon reentry during the radiation era, to PBH via gravitational collapse. The mass and abundance of these PBH is such that they could constitute the totality of the Dark Matter today. We satisfy all CMB and LSS constraints and predict a very broad range of PBH masses. Some of these PBH are light enough that they will evaporate before structure formation, leaving behind a large curvature fluctuation on small scales. This broad mass distribution of PBH as Dark Matter will be tested in the future by AdvLIGO and LISA interferometers.