Reconstruction of Primordial Power Spectrum of curvature perturbation from the merger rate of Primordial Black Hole Binaries

TL;DR

This paper proposes a method to reconstruct the primordial curvature perturbation spectrum on small scales by analyzing the merger rate of primordial black hole binaries, linking small-scale perturbations to observable black hole mergers.

Contribution

It introduces a novel reconstruction technique connecting primordial curvature perturbations to black hole merger rates, enabling insights into small-scale early universe fluctuations.

Findings

Reconstruction method for small-scale primordial perturbations.

Potential to infer small-scale fluctuations from black hole merger data.

Bridges observational black hole data with early universe physics.

Abstract

The properties of primordial curvature perturbations on small scales are still unknown while those on large scales have been well probed by the observations of the cosmic microwave background anisotropies and the large scale structure. In this paper, we propose the reconstruction method of primordial curvature perturbations on small scales through the merger rate of binary primordial black holes, which could form from large primordial curvature perturbation on small scales.