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Since the first LIGO/Virgo detection, Gravitational Waves (GWs) have beenvery promising as a new complementary probe to understand our Universe. One ofthe next challenges of GW search is the detection and characterization of thestochastic gravitational wave background (SGWB), that is expected to open awindow on the very early Universe (cosmological background) and to provide usnew information on astrophysical source populations (astrophysical background).One way to characterize the SGWB and to extract information about its origin isthrough the cross-correlation with other cosmological probes. To this aim, inthis paper, we explore the cross-correlation between the astrophysicalbackground anisotropies and the Cosmic Microwave Background (CMB) ones. Such asignal is sensitive to primordial non-Gaussianity (nG) through the GW bias.Thus, we study the capability of next generation space-based interferometers todetect such a cross-correlation signal and to constrain primordial nG.

Non-Gaussianity from the Cross-correlation of the Astrophysical Gravitational Wave Background and the Cosmic Microwave Background