Clustering of Gravitational Wave and Supernovae events: a multitracer analysis in Luminosity Distance Space

Abstract We study the clustering of Gravitational Wave (GW) merger events and Supernovae IA (SN), as cosmic tracers in Luminosity Distance Space. modify publicly available CAMB code to numerically evaluate auto- cross- power spectra for different sources, including Space distortion effects generated by peculiar velocities lensing convergence. perform a multitracer Fisher analysis forecast expected constraints on cosmological GW bias coefficients, using outputs from hydrodynamical N-body simulations determine fiducial model considering future observations Vera Rubin Observatory Einstein Telescope (ET), both single 3 detector network configuration. find that adding SN dataset considerably improves forecast, mostly breaking significant parameter degeneracies, with final comparable those obtainable Euclid -like survey. is forecasted be detectable good significance even ET case.