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

2025/02/04 by Gyeongbin Park, Park, Gyeongbin, Chang‐Hwan Lee +3
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #Astro and Planetary Science #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Inertial Sensor and Navigation

paper · pdf · doi:10.48550/arxiv.2502.02043

openalex publication_date 2025/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

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 (λ) decreases linearly as the effective spin (χ\rm eff) increases and the tidal deformability can be better measured for stiffer equation of states.

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