Fisher Forecast of Finite-Size Effects with Future Gravitational Wave Detectors

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Main Authors: Shterenberg, Joshua, Zhou, Zihan
Format: Preprint
Published: 2024
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author Shterenberg, Joshua
Zhou, Zihan
author_facet Shterenberg, Joshua
Zhou, Zihan
contents We use Fisher information theory to forecast the bounds on the finite-size effects of astrophysical compact objects with next-generation gravitational wave detectors, including the ground-based Cosmic Explorer (CE) and Einstein Telescope (ET), as well as the space-based Laser Interferomet Space Antenna (LISA). Exploiting the worldline effective field theory (EFT) formalism, we first characterize three types of quadrupole finite-size effects: the spin-induced quadrupole moments, the conservative tidal deformations, and the tidal heating. We then derive the corresponding contributions to the gravitational waveform phases for binary compact objects in aligned-spin quasi-circular orbits. We separately estimate the constraints on these finite-size effects for black holes using the power spectral densities (PSDs) of the CE+ET detector network and LISA observations. For the CE+ET network, we find that the bounds on the mass-weighted spin-independent dissipation number $H_0$ are of the order $O(1)$, while the bounds on the mass-weighted tidal Love number $\tildeΛ$ are of the order $O(10)$. For high-spin binary black holes with dimensionless spin $χ\simeq 0.8$, the bounds on the symmetric spin-induced quadrupole moment $κ_s$ are of the order $O(10^{-1})$. LISA observations of supermassive black hole mergers offer slightly tighter constraints on all three finite-size parameters. Additionally, we perform a Fisher analysis for a binary neutron star merger within the CE+ET network. The bounds on the tidal parameter $H_0$ and on $\tilde Λ$ are around two orders of magnitude better than the current LIGO-Virgo-KAGRA (LVK) bounds.
format Preprint
id arxiv_https___arxiv_org_abs_2410_00294
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Fisher Forecast of Finite-Size Effects with Future Gravitational Wave Detectors
Shterenberg, Joshua
Zhou, Zihan
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
High Energy Physics - Phenomenology
High Energy Physics - Theory
We use Fisher information theory to forecast the bounds on the finite-size effects of astrophysical compact objects with next-generation gravitational wave detectors, including the ground-based Cosmic Explorer (CE) and Einstein Telescope (ET), as well as the space-based Laser Interferomet Space Antenna (LISA). Exploiting the worldline effective field theory (EFT) formalism, we first characterize three types of quadrupole finite-size effects: the spin-induced quadrupole moments, the conservative tidal deformations, and the tidal heating. We then derive the corresponding contributions to the gravitational waveform phases for binary compact objects in aligned-spin quasi-circular orbits. We separately estimate the constraints on these finite-size effects for black holes using the power spectral densities (PSDs) of the CE+ET detector network and LISA observations. For the CE+ET network, we find that the bounds on the mass-weighted spin-independent dissipation number $H_0$ are of the order $O(1)$, while the bounds on the mass-weighted tidal Love number $\tildeΛ$ are of the order $O(10)$. For high-spin binary black holes with dimensionless spin $χ\simeq 0.8$, the bounds on the symmetric spin-induced quadrupole moment $κ_s$ are of the order $O(10^{-1})$. LISA observations of supermassive black hole mergers offer slightly tighter constraints on all three finite-size parameters. Additionally, we perform a Fisher analysis for a binary neutron star merger within the CE+ET network. The bounds on the tidal parameter $H_0$ and on $\tilde Λ$ are around two orders of magnitude better than the current LIGO-Virgo-KAGRA (LVK) bounds.
title Fisher Forecast of Finite-Size Effects with Future Gravitational Wave Detectors
topic General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2410.00294