Impact of Higher-order Tidal Corrections on the Measurement Accuracy of Neutron Star Tidal Deformability

Fuente: arXiv
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Main Authors: Park, Gyeongbin, Lee, Chang-Hwan, Cho, Hee-Suk
Format: Preprint
Published: 2025
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author Park, Gyeongbin
Lee, Chang-Hwan
Cho, Hee-Suk
author_facet Park, Gyeongbin
Lee, Chang-Hwan
Cho, Hee-Suk
contents Gravitational waves emitted by binary neutron stars (BNS) provide information about the internal structure of neutron stars (NSs), helping to verify dense matter equations of state. We investigate how the measurement accuracy of NS's tidal deformability can be improved by incorporating the higher-order post-Newtonian (pN) tidal corrections up to 7.5 pN. We assume an aligned-spin BNS system and adopt TaylorF2, which is the most commonly used pN waveform model. To calculate the measurement error, we use a semi-analytic method, Fisher Matrix, which is much faster than performing parameter estimation simulations. We employ Universal Relation to remove additional parameters that appear in higher-order corrections beyond 6 pN. We find that the effect of tidal corrections shows no behavior of convergence with increasing pN orders. Assuming a fiducial binary NS system whose physical parameters are compatible with GW170817, we find that the measurement error of tidal deformability ($\tildeλ$) decreases linearly as the effective spin ($χ_{\rm eff}$) increases and the tidal deformability can be better measured for stiffer equation of states.
format Preprint
id arxiv_https___arxiv_org_abs_2502_02043
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Impact of Higher-order Tidal Corrections on the Measurement Accuracy of Neutron Star Tidal Deformability
Park, Gyeongbin
Lee, Chang-Hwan
Cho, Hee-Suk
General Relativity and Quantum Cosmology
Gravitational waves emitted by binary neutron stars (BNS) provide information about the internal structure of neutron stars (NSs), helping to verify dense matter equations of state. We investigate how the measurement accuracy of NS's tidal deformability can be improved by incorporating the higher-order post-Newtonian (pN) tidal corrections up to 7.5 pN. We assume an aligned-spin BNS system and adopt TaylorF2, which is the most commonly used pN waveform model. To calculate the measurement error, we use a semi-analytic method, Fisher Matrix, which is much faster than performing parameter estimation simulations. We employ Universal Relation to remove additional parameters that appear in higher-order corrections beyond 6 pN. We find that the effect of tidal corrections shows no behavior of convergence with increasing pN orders. Assuming a fiducial binary NS system whose physical parameters are compatible with GW170817, we find that the measurement error of tidal deformability ($\tildeλ$) decreases linearly as the effective spin ($χ_{\rm eff}$) increases and the tidal deformability can be better measured for stiffer equation of states.
title Impact of Higher-order Tidal Corrections on the Measurement Accuracy of Neutron Star Tidal Deformability
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2502.02043