Overlap reduction functions for a polarized stochastic gravitational-wave background in the Einstein Telescope-Cosmic Explorer and the LISA-Taiji networks. (arXiv:2210.16143v1 [gr-qc])
<a href="http://arxiv.org/find/gr-qc/1/au:+Liu_G/0/1/0/all/0/1">Guo-Chin Liu</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Ng_K/0/1/0/all/0/1">Kin-Wang Ng</a>

The detection of gravitational waves from coalescences of binary compact
stars by current interferometry experiments has opened up a new era of
gravitational-wave astrophysics and cosmology. The search for 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 and the Cosmic Explorer, and the LISA-Taiji joint space mission.

The detection of gravitational waves from coalescences of binary compact
stars by current interferometry experiments has opened up a new era of
gravitational-wave astrophysics and cosmology. The search for 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 and the Cosmic Explorer, and the LISA-Taiji joint space mission.

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