Recovering the Mass-Tide Relationship for Neutron Star Mergers With Future Observations

We report the usage of the Bilby Bayesian inference library (Ashton et al. (2019)) as a tool to demonstrate the expected future improvement in the recovery of tidal parameters across a wide range of masses when Advanced LIGO reaches design sensitivity, or when Cosmic Explorer and Einstein Telescope are implemented. We have run an artificial population of parameter estimation runs using Bilby software. We focused on the implications for recovering tidal parameters across different source masses, which can be compared with the predictions of a given equation of state for neutron-star matter. For realistic recovery errors, it is important to account for the spin of the star. Allowing unlimited spins leads to larger uncertainties in recovered tides. We also demonstrate that it is important to account for differences between source-frame and detector-frame masses due to redshift, as using detector-frame masses gives a measurable offset from the assumed relationship between mass and tidal parameters.