Finite signal-to-noise ratio bias in parameter estimation for damped oscillations: cautionary remark about catalog-level black-hole spectroscopy

arXiv:2607.05486 · gr-qc, astro-ph.HE · Submitted 2026-07-06 · Read on arXiv

Koutarou Kyutoku

gr-qc, astro-ph.HE

Submitted: 2026-07-06

Comments: 7 pages, 2 figures, a Mathematica file attached

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Accuracy — 1× in this paper · explained in 1 episode
• Fisher Information — 1× in this paper · explained in 3 episodes
• Systematic Bias — 1× in this paper · explained in 3 episodes

Sources

• Black Hole Spectroscopy: Testing General Relativity through Gravitational Wave Observations
• Black hole spectroscopy: from theory to experiment
• Quasinormal modes of black holes and black branes
• Tests of general relativity with GW150914
• Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
• Tests of General Relativity with GWTC-3
• GWTC-4.0: Tests of General Relativity. III. Tests of the Remnants
• Catalog variance of testing general relativity with gravitational-wave data
• Challenges testing the no-hair theorem with gravitational waves
• Black Hole Spectroscopy: Systematic Errors and Ringdown Energy Estimates
• Analyzing black-hole ringdowns
• Quantifying Systematic Biases in Black Hole Spectroscopy
• Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
• Mining information from binary black hole mergers: a comparison of estimation methods for complex exponentials in noise
• On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
• Ringdown overtones, black hole spectroscopy, and no-hair theorem tests
• Agnostic black hole spectroscopy: Quasinormal mode content of numerical relativity waveforms and limits of validity of linear perturbation theory
• Iterative extraction of overtones from black hole ringdown
• Striking the right tone: toward a self-consistent framework for measuring black hole ringdowns

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