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Low evidence for ringdown overtone in GW150914 when marginalizing over time and sky location uncertainty

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Alex Correia
  • Yi Fan Wang
  • Julian Westerweck
  • Collin D. Capano

Research Organisations

External Research Organisations

  • University of Massachusetts Dartmouth
  • Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
  • University of Birmingham
  • Syracuse University

Details

Original languageEnglish
Article numberL041501
Number of pages8
JournalPhysical Review D
Volume110
Issue number4
Publication statusPublished - 7 Aug 2024

Abstract

Tests of the no-hair theorem using astrophysical black holes involve the detection of at least two quasinormal modes (QNMs) in the gravitational wave emitted by a perturbed black hole. A detection of two modes - the dominant, (ℓ,m,n)=(2,2,0), mode and its first overtone, the (2, 2, 1) mode - in the postmerger signal of the binary black hole merger GW150914 was claimed by Isi et al. [Testing the no-hair theorem with GW150914, Phys. Rev. Lett. 123, 111102 (2019)PRLTAO0031-900710.1103/PhysRevLett.123.111102], with further evidence provided by Isi and Farr [Revisiting the ringdown of GW150914 (2022)]. However, Cotesta et al. [Analysis of ringdown overtones in GW150914, Phys. Rev. Lett. 129, 111102 (2022)PRLTAO0031-900710.1103/PhysRevLett.129.111102] disputed this claim, finding that evidence for the overtone only appeared if the signal was analyzed before merger, when a QNM description of the signal is not valid. Because of technical challenges, both of these analyses fixed the merger time and sky location of GW150914 when estimating the evidence for the overtone. At least some of the contention can be attributed to fixing these parameters. Here, we surmount this difficulty and fully marginalize over merger time and sky-location uncertainty while doing a postmerger QNM analysis of GW150914. We find that marginalizing over all parameters yields low evidence for the presence of the overtone, with a Bayes factor of 1.10±0.03 in favor of a QNM model with the overtone versus one without. The arrival time uncertainty of GW150914 is too large to definitively claim detection of the (2, 2, 1) mode.

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Cite this

Low evidence for ringdown overtone in GW150914 when marginalizing over time and sky location uncertainty. / Correia, Alex; Wang, Yi Fan; Westerweck, Julian et al.
In: Physical Review D, Vol. 110, No. 4, L041501, 07.08.2024.

Research output: Contribution to journalArticleResearchpeer review

Correia A, Wang YF, Westerweck J, Capano CD. Low evidence for ringdown overtone in GW150914 when marginalizing over time and sky location uncertainty. Physical Review D. 2024 Aug 7;110(4):L041501. doi: 10.48550/arXiv.2312.14118, 10.1103/PhysRevD.110.L041501
Correia, Alex ; Wang, Yi Fan ; Westerweck, Julian et al. / Low evidence for ringdown overtone in GW150914 when marginalizing over time and sky location uncertainty. In: Physical Review D. 2024 ; Vol. 110, No. 4.
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title = "Low evidence for ringdown overtone in GW150914 when marginalizing over time and sky location uncertainty",
abstract = "Tests of the no-hair theorem using astrophysical black holes involve the detection of at least two quasinormal modes (QNMs) in the gravitational wave emitted by a perturbed black hole. A detection of two modes - the dominant, (ℓ,m,n)=(2,2,0), mode and its first overtone, the (2, 2, 1) mode - in the postmerger signal of the binary black hole merger GW150914 was claimed by Isi et al. [Testing the no-hair theorem with GW150914, Phys. Rev. Lett. 123, 111102 (2019)PRLTAO0031-900710.1103/PhysRevLett.123.111102], with further evidence provided by Isi and Farr [Revisiting the ringdown of GW150914 (2022)]. However, Cotesta et al. [Analysis of ringdown overtones in GW150914, Phys. Rev. Lett. 129, 111102 (2022)PRLTAO0031-900710.1103/PhysRevLett.129.111102] disputed this claim, finding that evidence for the overtone only appeared if the signal was analyzed before merger, when a QNM description of the signal is not valid. Because of technical challenges, both of these analyses fixed the merger time and sky location of GW150914 when estimating the evidence for the overtone. At least some of the contention can be attributed to fixing these parameters. Here, we surmount this difficulty and fully marginalize over merger time and sky-location uncertainty while doing a postmerger QNM analysis of GW150914. We find that marginalizing over all parameters yields low evidence for the presence of the overtone, with a Bayes factor of 1.10±0.03 in favor of a QNM model with the overtone versus one without. The arrival time uncertainty of GW150914 is too large to definitively claim detection of the (2, 2, 1) mode.",
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AU - Correia, Alex

AU - Wang, Yi Fan

AU - Westerweck, Julian

AU - Capano, Collin D.

N1 - Publisher Copyright: © 2024 American Physical Society.

PY - 2024/8/7

Y1 - 2024/8/7

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