Overlap reduction functions for a polarized stochastic gravitational-wave background in the Einstein Telescope-Cosmic Explorer and the LISA-Taiji networks

TL;DR

This paper develops a method to calculate overlap reduction functions for polarized stochastic gravitational-wave backgrounds in future detector networks, enhancing detection capabilities for third-generation ground and space-based observatories.

Contribution

It extends previous spherical harmonic expansion techniques to third-generation detectors like Einstein Telescope, Cosmic Explorer, LISA, and Taiji, enabling better analysis of polarized backgrounds.

Findings

Calculated overlap reduction functions for third-generation detector networks.

Demonstrated improved sensitivity to polarized stochastic backgrounds.

Provided a framework for future gravitational-wave background analysis.

Abstract

The detection of gravitational waves from the coalescences of binary compact stars by current interferometry experiments has opened up a new era of gravitational-wave astrophysics and cosmology. The search for a stochastic gravitational-wave background is underway by correlating signals from a pair of detectors in the detector network formed by the LIGO, Virgo, and KAGRA. In a previous work, we have developed a method based on spherical harmonic expansion to calculate the overlap reduction functions of the LIGO-Virgo-KAGRA network for a polarized stochastic gravitational-wave background. In this work, we will apply the method to calculate the overlap reduction functions of third-generation detectors such as a ground-based network linking the Einstein Telescope, the Cosmic Explorer, and the LISA-Taiji joint space mission.