Improvement of the parameter measurement accuracy by the third-generation gravitational wave detector Einstein Telescope

Abstract

The Einstein Telescope (ET) has been proposed as one of the third-generation gravitational wave (GW) detectors. The sensitivity of ET would be a factor of 10 better than the second-generation GW detector, Advanced LIGO (aLIGO); thus, the GW source parameters could be measured with much better accuracy. In this work, we show how the precision in parameter estimation can be improved between aLIGO and ET by comparing the measurement errors. We apply the TaylorF2 waveform model defined in the frequency domain to the Fisher matrix method which is a semi-analytic approach for estimating GW parameter measurement errors. We adopt as our sources low-mass binary black holes with the total masses of $M\le 16M_{\odot }$ and the effective spins of $-0.9\le {\chi }_{\mathrm{eff}}\le 0.9$ and calculate the measurement errors of the mass and the spin parameters using $10^4$ Monte-Carlo samples randomly distributed in our mass and spin parameter space. We find that for the same sources ET can achieve $\sim 14$ times better signal-to-noise ratio than aLIGO and the error ratios (${\sigma }_{\lambda ,\mathrm{ET}}/{\sigma }_{\lambda ,\mathrm{aLIGO}}$) for the chirp-mass, symmetric mass ratio, and effective spin parameters can be lower than $7\%$ for all binaries. We also consider the equal-mass binary neutron stars with the component masses of 1, 1.4, and 2 $M_{\odot }$ and find that the error ratios for the mass and the spin parameters can be lower than $1.5\%$. In particular, the measurement error of the tidal deformability $\tilde{\Lambda }$ can also be significantly reduced by ET, with the error ratio of $3.6-6.1\%$.

arXiv commentmatching the published version in CQG

References in corpus (48)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Multi-messenger Observations of a Binary Neutron Star Merger
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• Advanced LIGO
• GW170817: Measurements of Neutron Star Radii and Equation of State
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
• Characterization of the LIGO detectors during their sixth science run
• Properties of the binary neutron star merger GW170817
• Constraining neutron star tidal Love numbers with gravitational wave detectors
• Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
• Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy
• Frequency-domain gravitational waves from non-precessing black-hole binaries. II. A phenomenological model for the advanced detector era
• Interferometer design of the KAGRA gravitational wave detector
• Tidal deformability of neutron stars with realistic equations of state and their gravitational wave signatures in binary inspiral
• Properties of the Binary Black Hole Merger GW150914
• Robust parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library
• Constraints on a phenomenologically parameterized neutron-star equation of state
• Detection, Measurement and Gravitational Radiation
• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
• FINDCHIRP: an algorithm for detection of gravitational waves from inspiraling compact binaries
• Inspiral-merger-ringdown waveforms for black-hole binaries with non-precessing spins
• Gravitational waves from inspiralling compact binaries: Parameter estimation using second-post-Newtonian waveforms
• Matching post-Newtonian and numerical relativity waveforms: systematic errors and a new phenomenological model for non-precessing black hole binaries
• Estimating spinning binary parameters and testing alternative theories of gravity with LISA
• Systematic parameter errors in inspiraling neutron star binaries
• Higher-order spin effects in the amplitude and phase of gravitational waveforms emitted by inspiraling compact binaries: Ready-to-use gravitational waveforms
• First higher-multipole model of gravitational waves from spinning and coalescing black-hole binaries
• Reconstructing the neutron-star equation of state with gravitational-wave detectors from a realistic population of inspiralling binary neutron stars
• Frequency domain reduced order model of aligned-spin effective-one-body waveforms with generic mass-ratios and spins
• An improved analysis of GW150914 using a fully spin-precessing waveform model
• Inadequacies of the Fisher Information Matrix in gravitational-wave parameter estimation
• Gwbench: a novel Fisher information package for gravitational-wave benchmarking
• Gravitational waves from BH-NS binaries: Effective Fisher matrices and parameter estimation using higher harmonics
• Gravitational-wave data analysis using binary black-hole waveforms
• Template banks to search for low-mass binary black holes in advanced gravitational-wave detectors
• Parameter estimation on compact binary coalescences with abruptly terminating gravitational waveforms
• Testing the validity of the single-spin approximation in inspiral-merger-ringdown waveforms
• Application of the effective Fisher matrix to the frequency domain inspiral waveforms
• Compact binary coalescence parameter estimations for 2.5 post-Newtonian aligned spinning waveforms
• Searching for binary coalescences with inspiral templates: Detection and parameter estimation
• Parameter estimation using a complete signal and inspiral templates for low mass binary black holes with Advanced LIGO sensitivity
• Efficiency of nonspinning templates in gravitational wave searches for aligned-spin binary black holes
• Testing the validity of the phenomenological gravitational waveform models for nonspinning binary black hole searches at low masses

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