2023/10/30 by Yifan Wang, Wang, Yi-Fan, C. D. Capano +13 · 6 citations
Mathematics · Physics and Astronomy · #Artificial intelligence #Astrophysical Phenomena and Observations #Bayes' theorem #Bayesian probability #Computer science #Computer vision #Domain (mathematical analysis) #FOS: Physical sciences #Frequency domain #General Relativity and Quantum Cosmology (gr-qc) #High Energy Astrophysical Phenomena (astro-ph.HE) #Materials science #Mathematical analysis #Mathematics #Model Reduction and Neural Networks #Overtone #Perspective (graphical) #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Range (aeronautics) #Spectral line #Statistics #Time domain
paper · pdf · doi:10.48550/arxiv.2310.19645
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2023/10/30 · openalex created_date 2023/11/01 · openalex updated_date 2026/08/06
We revisit the recent debate on the evidence for an overtone in the black hole ringdown of GW150914 using an independent data-analysis pipeline. By gating and inpainting the data, we discard the contamination from earlier parts of the gravitational wave signal before ringdown. This enables parameter estimation to be conducted in the frequency domain, which is mathematically equivalent to the time domain method. We keep the settings as similar as possible to the previous studies by Cotesta et al. arXiv:2201.00822 and Isi et al. arXiv:1905.00869 arXiv:2202.02941 which yielded conflicting results on the Bayes factor of the overtone. Our aim is to understand how different data analysis systematics, including sampling rates, erroneous timestamps, and the frequency resolution of the noise power spectrum, would influence the statistical significance of an overtone. Our main results indicate the following: (i) a low-resolution estimation of the noise power spectrum tends to diminish the significance of overtones, (ii) adjusting the start time to a later digitized point reduces the significance of overtones, and (iii) overtone evidence varies with different sampling rates if the start time is too early, indicating that the overtone is a poor model, hence we propose a convergence test to verify the validity of an overtone model. With these issues addressed, we find the Bayes factors for the overtone to range from 10 to 26 in a range of times centered at the best-fit merger time of GW150914, which supports the existence of an overtone in agreement with the conclusions of Isi et al. arXiv:1905.00869 arXiv:2202.02941. These results are obtained by keeping the start time and sky location fixed, enabling a direct comparison with other work. Marginalizing over these parameters would lower the Bayes factor to 1 for the evidence of an overtone.