Effects of waveform model systematics on the interpretation of GW150914

LIGO Scientific Collaboration and Virgo Collaboration

Research output: Contribution to journalArticleResearchpeer-review

58 Citations (Scopus)

Abstract

Parameter estimates of GW150914 were obtained using Bayesian inference, based on three semi-analytic waveform models for binary black hole coalescences. These waveform models differ from each other in their treatment of black hole spins, and all three models make some simplifying assumptions, notably to neglect sub-dominant waveform harmonic modes and orbital eccentricity. Furthermore, while the models are calibrated to agree with waveforms obtained by full numerical solutions of Einstein's equations, any such calibration is accurate only to some non-zero tolerance and is limited by the accuracy of the underlying phenomenology, availability, quality, and parameter-space coverage of numerical simulations. This paper complements the original analyses of GW150914 with an investigation of the effects of possible systematic errors in the waveform models on estimates of its source parameters. To test for systematic errors we repeat the original Bayesian analysis on mock signals from numerical simulations of a series of binary configurations with parameters similar to those found for GW150914. Overall, we find no evidence for a systematic bias relative to the statistical error of the original parameter recovery of GW150914 due to modeling approximations or modeling inaccuracies. However, parameter biases are found to occur for some configurations disfavored by the data of GW150914: for binaries inclined edge-on to the detector over a small range of choices of polarization angles, and also for eccentricities greater than ∼0.05. For signals with higher signal-to-noise ratio than GW150914, or in other regions of the binary parameter space (lower masses, larger mass ratios, or higher spins), we expect that systematic errors in current waveform models may impact gravitational-wave measurements, making more accurate models desirable for future observations.

Original languageEnglish
Article number104002
Number of pages48
JournalClassical and Quantum Gravity
Volume34
Issue number10
DOIs
Publication statusPublished - 12 Apr 2017

Keywords

  • gravitational waves
  • GW150914
  • numerical relativity
  • parameter estimation
  • systematic errors
  • waveform models

Cite this

LIGO Scientific Collaboration and Virgo Collaboration. / Effects of waveform model systematics on the interpretation of GW150914. In: Classical and Quantum Gravity. 2017 ; Vol. 34, No. 10.
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abstract = "Parameter estimates of GW150914 were obtained using Bayesian inference, based on three semi-analytic waveform models for binary black hole coalescences. These waveform models differ from each other in their treatment of black hole spins, and all three models make some simplifying assumptions, notably to neglect sub-dominant waveform harmonic modes and orbital eccentricity. Furthermore, while the models are calibrated to agree with waveforms obtained by full numerical solutions of Einstein's equations, any such calibration is accurate only to some non-zero tolerance and is limited by the accuracy of the underlying phenomenology, availability, quality, and parameter-space coverage of numerical simulations. This paper complements the original analyses of GW150914 with an investigation of the effects of possible systematic errors in the waveform models on estimates of its source parameters. To test for systematic errors we repeat the original Bayesian analysis on mock signals from numerical simulations of a series of binary configurations with parameters similar to those found for GW150914. Overall, we find no evidence for a systematic bias relative to the statistical error of the original parameter recovery of GW150914 due to modeling approximations or modeling inaccuracies. However, parameter biases are found to occur for some configurations disfavored by the data of GW150914: for binaries inclined edge-on to the detector over a small range of choices of polarization angles, and also for eccentricities greater than ∼0.05. For signals with higher signal-to-noise ratio than GW150914, or in other regions of the binary parameter space (lower masses, larger mass ratios, or higher spins), we expect that systematic errors in current waveform models may impact gravitational-wave measurements, making more accurate models desirable for future observations.",
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author = "Ackley, {Kendall Danielle} and Lasky, {P D} and Y Levin and S Qiu and L Sammut and E Thrane and C Whittle and Xingjiang Zhu and {LIGO Scientific Collaboration and Virgo Collaboration}",
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Effects of waveform model systematics on the interpretation of GW150914. / LIGO Scientific Collaboration and Virgo Collaboration.

In: Classical and Quantum Gravity, Vol. 34, No. 10, 104002, 12.04.2017.

Research output: Contribution to journalArticleResearchpeer-review

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T1 - Effects of waveform model systematics on the interpretation of GW150914

AU - Ackley, Kendall Danielle

AU - Lasky, P D

AU - Levin, Y

AU - Qiu, S

AU - Sammut, L

AU - Thrane, E

AU - Whittle, C

AU - Zhu, Xingjiang

AU - LIGO Scientific Collaboration and Virgo Collaboration

PY - 2017/4/12

Y1 - 2017/4/12

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AB - Parameter estimates of GW150914 were obtained using Bayesian inference, based on three semi-analytic waveform models for binary black hole coalescences. These waveform models differ from each other in their treatment of black hole spins, and all three models make some simplifying assumptions, notably to neglect sub-dominant waveform harmonic modes and orbital eccentricity. Furthermore, while the models are calibrated to agree with waveforms obtained by full numerical solutions of Einstein's equations, any such calibration is accurate only to some non-zero tolerance and is limited by the accuracy of the underlying phenomenology, availability, quality, and parameter-space coverage of numerical simulations. This paper complements the original analyses of GW150914 with an investigation of the effects of possible systematic errors in the waveform models on estimates of its source parameters. To test for systematic errors we repeat the original Bayesian analysis on mock signals from numerical simulations of a series of binary configurations with parameters similar to those found for GW150914. Overall, we find no evidence for a systematic bias relative to the statistical error of the original parameter recovery of GW150914 due to modeling approximations or modeling inaccuracies. However, parameter biases are found to occur for some configurations disfavored by the data of GW150914: for binaries inclined edge-on to the detector over a small range of choices of polarization angles, and also for eccentricities greater than ∼0.05. For signals with higher signal-to-noise ratio than GW150914, or in other regions of the binary parameter space (lower masses, larger mass ratios, or higher spins), we expect that systematic errors in current waveform models may impact gravitational-wave measurements, making more accurate models desirable for future observations.

KW - gravitational waves

KW - GW150914

KW - numerical relativity

KW - parameter estimation

KW - systematic errors

KW - waveform models

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