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arXiv · 1807.08016

Impact of high-order tidal terms on binary neutron-star waveforms

Xisco Jimenez-Forteza·Tiziano Abdelsalhin·Paolo Pani·Leonardo Gualtieri
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Abstract

GW170817, the milestone gravitational-wave event originated from a binary neutron star merger, has allowed scientific community to place a constraint on the equation of state of neutron stars by extracting the leading-order, tidal-deformability term from the gravitational waveform. Here we incorporate tidal corrections to the gravitational-wave phase at next-to-leading and next-to-next-to-leading order, including the magnetic tidal Love numbers, tail effects, and the spin-tidal couplings recently computed in Tiziano Abdelsalhin [Phys. Rev. D 98, 104046 (2018)]. These effects have not yet been included in the waveform approximants for the analysis of GW170817. We provide a qualitative and quantitative analysis of the impact of these new terms by studying the parameter bias induced on events compatible with GW170817 assuming second-generation (advanced LIGO) and third-generation (Einstein Telescope) ground-based gravitational-wave interferometers. We find that including the tidal-tail term deteriorates the convergence properties of the post-Newtonian expansion in the relevant frequency range. We also find that the effect of magnetic tidal Love numbers could be measurable for an optimal GW170817 event with signal-to-noise ratio $ρ\approx 1750$ detected with the Einstein Telescope. On the same line, spin-tidal couplings may be relevant if mildly high-spin $χ\gtrsim 0.1$ neutron star binaries exist in nature.

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Xisco Jimenez-Forteza, Tiziano Abdelsalhin, Paolo Pani, Leonardo Gualtieri. 2018-12-18. Impact of high-order tidal terms on binary neutron-star waveforms. https://doi.org/10.1103/physrevd.98.124014

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