Cosmology in the dark: How compact binaries formation impact the gravitational-waves cosmological measurements

Information about the mass spectrum of compact stars can be used to infer cosmological parameters from gravitational waves (GW) in the absence of redshift measurements obtained from electromagnetic (EM) observations. This method will be fundamental in measuring and testing cosmology with GWs for current and future ground-based GW detectors, since the majority of sources will be detected without an associated EM counterpart. In this proceeding, we discuss the prospects and limitations of this approach for studying cosmology. We show that, even when assuming GW detectors with current sensitivities, the determination of the Hubble constant is strongly degenerate with the maximum mass for black hole production. We discuss how assuming wrong models for the underlying population of black hole events can bias the Hubble constant estimate up to 40%.