Systematic bias due to eccentricity in parameter estimation for merging binary neutron stars : Spinning case

Abstract

In our previous work [Phys. Rev. D {\bf 105}. 124022 (2022)], we studied the impact of eccentricity on gravitational-wave parameter estimation for a nonspinning binary neutron star (BNS) system. We here extend the work to a more realistic case by including the spin parameter in the system. As in the previous work, we employ the analytic Fisher-Cutler-Vallisneri method to calculate the systematic bias that can be produced by using noneccentric waveforms in parameter estimation, and we verify the reliability of the method by comparing it with numerical Bayesian parameter estimation results. We generate $10^4$ BNS sources randomly distributed in the parameter space $m_1$-$m_2$-${\chi }_{\mathrm{eff}}$-$e_0$, where the neutron star mass is in the range of $1M_{\odot }\le m_{1,2}\le 2M_{\odot }(m_2\le m_1)$, the effective spin is $-0.2\le {\chi }_{\mathrm{eff}}\le 0.2$, and the eccentricity (at the reference frequency 10 Hz) is $0\le e_0\le 0.024$. For the true value of the tidal deformability ($\lambda$) of neutron stars, we assume the equation of state model APR4. For all gravitational-wave signals emitted from the sources, we calculate the systematic biases ($\Delta \theta$) for the chirp mass ($M_c$), symmetric mass ratio ($\eta$), effective spin (${\chi }_{\mathrm{eff}}$), and effective tidal deformability ($\tilde{\lambda }$), and obtain generalized distributions of the biases. The distribution of biases in $M_c,\eta$, and ${\chi }_{\mathrm{eff}}$ shows narrow bands that increase or decrease quadratically with increasing $e_0$, indicating a weak dependence of biases on the three parameters. On the other hand, the biases of $\tilde{\lambda }$ are widely distributed depending on the values of the mass and spin parameters at a given $e_0$. We investigate the implications of biased parameters for the inference of neutron star properties by performing Bayesian parameter estimation for specific cases.

10 pages, 11 figures, to be published in PRD

References in corpus (44)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Multi-messenger Observations of a Binary Neutron Star Merger
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• GW170817: Measurements of Neutron Star Radii and Equation of State
• dynesty: A Dynamic Nested Sampling Package for Estimating Bayesian Posteriors and Evidences
• PSR J0030+0451 Mass and Radius from NICER Data and Implications for the Properties of Neutron Star Matter
• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
• Properties of the binary neutron star merger GW170817
• Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy
• Tidal deformability of neutron stars with realistic equations of state and their gravitational wave signatures in binary inspiral
• Detection, Measurement and Gravitational Radiation
• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• GW170817: Joint Constraint on the Neutron Star Equation of State from Multimessenger Observations
• Gravitational waves from inspiralling compact binaries: Parameter estimation using second-post-Newtonian waveforms
• An introduction to Bayesian inference in gravitational-wave astronomy: parameter estimation, model selection, and hierarchical models
• Science with the Einstein Telescope: a comparison of different designs
• Systematic parameter errors in inspiraling neutron star binaries
• Eccentric Black Hole Mergers Forming in Globular Clusters
• Estimating the Contribution of Dynamical Ejecta in the Kilonova Associated with GW170817
• Reconstructing the neutron-star equation of state with gravitational-wave detectors from a realistic population of inspiralling binary neutron stars
• LISA detections of massive black hole inspirals: parameter extraction errors due to inaccurate template waveforms
• Observation of Gravitational Waves from the Coalescence of a $2.5\text{-}4.5M_{\odot }$ Compact Object and a Neutron Star
• Gravitational-wave phasing for low-eccentricity inspiralling compact binaries to 3PN order
• Constraining the dense matter equation of state with new NICER mass-radius measurements and new chiral effective field theory inputs
• PSR J0030+0451, GW170817 and the nuclear data: joint constraints on equation of state and bulk properties of neutron stars
• Gravitational waves from BH-NS binaries: Effective Fisher matrices and parameter estimation using higher harmonics
• Search for Eccentric Binary Neutron Star Mergers in the first and second observing runs of Advanced LIGO
• Accelerating parameter estimation of gravitational waves from compact binary coalescence using adaptive frequency resolutions
• Search for gravitational waves from the coalescence of sub-solar mass binaries in the first half of Advanced LIGO and Virgo's third observing run
• Measuring the eccentricity of GW170817 and GW190425
• Search for gravitational waves from the coalescence of sub-solar mass and eccentric compact binaries
• Evidence for eccentricity in the population of binary black holes observed by LIGO-Virgo-KAGRA
• Blind spots and biases: the dangers of ignoring eccentricity in gravitational-wave signals from binary black holes
• Eccentric or circular? A reanalysis of binary black hole gravitational wave events for orbital eccentricity signatures
• Application of the effective Fisher matrix to the frequency domain inspiral waveforms
• Systematic bias due to eccentricity in parameter estimation for merging binary neutron stars
• Equation of state constraints from multi-messenger observations of neutron star mergers
• Search for eccentric NSBH and BNS mergers in the third observing run of Advanced LIGO and Virgo
• A geometric template bank for the detection of spinning low-mass compact binaries with moderate orbital eccentricity
• Impact of unmodeled eccentricity on the tidal deformability measurement and implications for gravitational wave physics inference
• Improvement of the parameter measurement accuracy by the third-generation gravitational wave detector Einstein Telescope
• Gravitational waves from eccentric binary neutron star mergers: Systematic biases and inadequacy of quasicircular templates
• Measurability of neutron star tidal deformability from merging neutron star-black hole binaries
• Kilohertz Gravitational Waves from Binary Neutron Star Mergers: Full Spectrum Analyses and High-density Constraints on Neutron Star Matter