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The detection of gravitational waves from the coalescences of binary compactstars by current interferometry experiments has opened up a new era ofgravitational-wave astrophysics and cosmology. The search for a stochasticgravitational-wave background is underway by correlating signals from a pair ofdetectors in the detector network formed by the LIGO, Virgo, and KAGRA. In aprevious work, we have developed a method based on spherical harmonic expansionto calculate the overlap reduction functions of the LIGO-Virgo-KAGRA networkfor a polarized stochastic gravitational-wave background. In this work, we willapply the method to calculate the overlap reduction functions ofthird-generation detectors such as a ground-based network linking the EinsteinTelescope, the Cosmic Explorer, and the LISA-Taiji joint space mission.

physical review. d/physical review. d.

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