Detectability of Dynamical Tidal Effects in Binary Neutron Star Mergers

Tidal interactions between inspiraling binary neutron stars imprint a unique and detectable signature in the gravitational wave signal. Near the end of the inspiral, the orbital frequency approaches the eigenfrequency of the neutron star (NS) fundamental mode (f-mode), resonantly amplifying the tidal response. The degree of amplification is strongly dependent on the f-mode frequency which is modified by various effects during the coalescence of the binary. Such effects include relativistic effects (redshift and frame dragging), nonlinear hydrodynamics, and an effective shift due to NS spin. Models that do not include these shifts to the f-mode frequency lead to parameter estimation biases, especially for the NS tidal Love number. In this talk, we present the detectability of f-mode frequency shifts due to relativistic effects, nonlinear hydrodynamics, and NS spin. We also estimate the bias introduced to the estimation of the NS tidal Love number due to models not including these effects. Our results consider both individual events and a population of detections.