Cross-Correlation of the Cosmic Microwave Background, Gravitational Waves and the Large-Scale Structure of the Universe

The detection of gravitational waves has opened up a new observational window on the Universe. Since the first observation of gravitational waves in 2015, a growing number of gravitational waves have been detected. Gravitational waves, like galaxies, serve as tracers of the Large Scale Structure. Previous studies have demonstrated that integrating data from distinct sources, such as the Cosmic Microwave Background and the Large Scale Structure, or the spatial distribution of galaxies and gravitational waves, enhances the accuracy of forecasting both cosmological and astrophysical parameters. In this work, we extend this logic and perform a 3 × 2 point joint Fisher analysis, which uses information coming from CMB, LSS and GWs to forecast constraints on cosmological parameters. We found that this kind of analysis might allow us to place better constraints on the progenitors of gravitational waves, the nature of dark energy and on the extent of non-Gaussianities in the primordial perturbations.