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Systematic bias on the inspiral-merger-ringdown consistency test due to neglect of orbital eccentricity
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abstract
The inspiral-merger-ringdown (IMR) consistency test checks the consistency of the final mass and final spin of a binary black hole merger remnant, independently inferred via the inspiral and merger-ringdown parts of the waveform. As binaries are expected to be nearly circularized when entering the frequency band of ground-based detectors, tests of general relativity (GR) currently employ quasicircular waveforms. We quantify the effect of residual orbital eccentricity on the IMR consistency test. We find that eccentricity causes a significant systematic bias in the inferred final mass and spin of the remnant black hole at an orbital eccentricity (defined at $10$ Hz) of $e_0 \gtrsim 0.1$ in the LIGO band (for a total binary mass in the range $65$-$200 \,M_{\odot}$). For binary black holes observed by Cosmic Explorer (CE), the systematic bias becomes significant for $e_0 \gtrsim 0.015$ (for $200$-$600 \,M_{\odot}$ systems). This eccentricity-induced bias on the final mass and spin leads to an apparent inconsistency in the IMR consistency test, manifesting as a false violation of GR. Hence, eccentric corrections to waveform models are important for constructing a robust test of GR, especially for third-generation detectors. We also estimate the eccentric corrections to the relationship between the inspiral parameters and the final mass and final spin; they are shown to be quite small.
Forward citations
Cited by 6 Pith papers
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Accurate waveforms for eccentric, aligned-spin binary black holes: The multipolar effective-one-body model SEOBNRv5EHM
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Biases in Tests of General Relativity from Microlensed Gravitational-Wave Signals
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The power of ppE-style GR tests comes from waveform geometry: GR parameter biases absorb most of any smooth phase deviation, and SVD finds the few orthogonal directions that remain.
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A cWB overlap mismatch metric, Δmedian, separates simulated 40 solar mass black hole mergers with e20 ≳ 0.17 from circular ones even when parameter estimation uses only quasicircular waveforms.
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Spin effects in the phasing formula of eccentric compact binary inspirals up to the third post-Newtonian order
Closed-form post-Newtonian phasing formulas for eccentric, spin-aligned compact binary inspirals are derived to 3PN order and to eighth order in initial eccentricity, with a resummation extending validity to e0 around 0.55.
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