Estimating detection rates of compact binary inspirals for networks of ground-based gravitational-wave detectors

TL;DR

This paper evaluates an analytical method for estimating detection rates of binary inspirals in gravitational-wave detector networks, confirming its high accuracy with less than 1.02% error.

Contribution

The paper rigorously assesses Schutz's approximation for detection rate calculations, demonstrating its validity across various detector network configurations.

Findings

Schutz's approximation has less than 1.02% error.

The method accurately handles polarization angles.

Validation across multiple detector networks.

Abstract

In a recent paper, Schutz proposed an analytical approximation for simplifying treatment of polarization angle and conveniently evaluating relative detection rates of compact binary inspirals for various networks of ground-based interferometers. We derived relative event rates by strictly handling polarization angle and quantitatively examine validity of Schutz's approximation. The associated error of the approximation is rigorously shown to be less than 1.02\%, irrespective of details of the detector networks.