Tidal dissipation in binary neutron star inspirals from hyperon bulk viscosity: phase modelling and parameter estimation bias

ABSTRACT During the inspiral of a binary neutron star, viscous processes in the neutron star matter can damp out the tidal energy induced by its companion and convert it to thermal energy. This tidal dissipation/heating process introduces a net phase shift in the gravitational wave signal. In our recent work, we showed based on a Newtonian estimate that tidal dissipation from bulk viscosity originating from the non-leptonic weak interactions involving hyperons could have a detectable phase shift in the gravitational-wave (GW) signal in the next-generation GW detectors. Using simulated signals, we demonstrate that not accounting for this physical effect in waveform models can result in systematic biases in tidal deformability measurements of high-mass neutron star ($\ge 1.8{\rm M}_{\odot }$) binary observations in next-generation GW detectors. By employing Newtonian orbital dynamics, we model this tidal dissipation induced dephasing as a phenomenological function of the characteristic velocity. We incorporate its effect in gravitational waveforms of equal-mass binary neutron stars. Those waveforms are used to perform a full Bayesian parameter estimation, which confirms that our model can alleviate possible biases in tidal deformability estimation. We also illustrate that the model can accurately measure the additional phase due to tidal dissipation in a $2{\rm M}_{\odot }$ neutron star in observations with next-generation GW detectors and discuss its significance in extreme matter studies.