Merger Rate Distribution of Primordial-Black-Hole Binaries

TL;DR

This paper models the merger rate distribution of primordial black hole binaries considering a general mass function and various gravitational influences, aiding future detection-based mass function reconstruction.

Contribution

It introduces a comprehensive method to calculate primordial black hole binary merger rates with a general mass function, including effects of all primordial black holes and density perturbations.

Findings

Provides a framework for merger rate distribution calculation

Highlights importance for future gravitational wave detections

Facilitates primordial black hole mass function reconstruction

Abstract

Up to now several gravitational-wave events from the coalescences of black hole binaries have been reported by LIGO/VIRGO, and imply that black holes should have an extended mass function. We work out the merger rate distribution of primordial-black-hole binaries with a general mass function by taking into account the torques by all primordial black holes and linear density perturbations. In the future, many more coalescences of black hole binaries are expected to be detected, and the one-dimensional and two-dimensional merger rate distributions will be crucial for reconstructing the mass function of primordial black holes.