Characterizing Continuous Gravitational Waves from Supermassive Black Hole Binaries in Realistic Pulsar Timing Array Data

Pulsar timing arrays recently found evidence for a gravitational-wave background (GWB), likely the stochastic overlap of gravitational waves from many supermassive black hole binaries. Anticipating a continuous gravitational-wave (CW) detection from a single binary soon to follow, we examine how wel...

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Main Authors: Emiko C. Gardiner, Bence Bécsy, Luke Zoltan Kelley, Neil J. Cornish
Format: Article
Language:English
Published: IOP Publishing 2025-01-01
Series:The Astrophysical Journal
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Online Access:https://doi.org/10.3847/1538-4357/ade4c2
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author Emiko C. Gardiner
Bence Bécsy
Luke Zoltan Kelley
Neil J. Cornish
author_facet Emiko C. Gardiner
Bence Bécsy
Luke Zoltan Kelley
Neil J. Cornish
author_sort Emiko C. Gardiner
collection DOAJ
description Pulsar timing arrays recently found evidence for a gravitational-wave background (GWB), likely the stochastic overlap of gravitational waves from many supermassive black hole binaries. Anticipating a continuous gravitational-wave (CW) detection from a single binary soon to follow, we examine how well current Bayesian methods can detect CWs and characterize their binary properties by modeling the response of the NANOGrav 15 yr pulsar timing array to simulated binary populations. We run Markov Chain Monte Carlo searches for CWs in these data sets and compare them to quicker detection statistics including the optimal signal-to-noise ratio (S/N), matched filter detection statistic, and reduced log-likelihood ratio between the signal and noise models calculated at the injected parameters. The latter is the best proxy for Bayesian detection fractions, corresponding to a 50% detection fraction (by Bayes factors >10 favoring a CW detection over noise-only model) at an S/N = 4.6. Source confusion between the GWB and a CW, or between multiple CWs, can cause false detections and unexpected dismissals. Fifty-three percent of realistic binary populations consistent with the recently observed GWB have successful CW detections. Additionally, 82% of these CWs are in the fourth or fifth frequency bin of the 16.03 yr data set (6.9 and 10.8 nHz), with 95th percentile regions spanning 4–12 nHz frequencies, 0.7–20 × 10 ^9 M _⊙ chirp masses, 60 Mpc–8 Gpc luminosity distances, and 18–13,000 deg ^2 68% confidence localization areas. These successful detections often poorly recover the chirp mass, with only 29% identifying the chirp mass accurately to within 1 dex with a 68% posterior width also narrower than 1 dex.
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spelling doaj-art-16cfabd5927343dcbdafd800cbe8d3372025-08-20T03:56:41ZengIOP PublishingThe Astrophysical Journal1538-43572025-01-01988222210.3847/1538-4357/ade4c2Characterizing Continuous Gravitational Waves from Supermassive Black Hole Binaries in Realistic Pulsar Timing Array DataEmiko C. Gardiner0https://orcid.org/0000-0002-8857-613XBence Bécsy1https://orcid.org/0000-0003-0909-5563Luke Zoltan Kelley2https://orcid.org/0000-0002-6625-6450Neil J. Cornish3https://orcid.org/0000-0002-7435-0869Department of Astronomy, University of California , Berkeley 501 Campbell Hall #3411 Berkeley, CA 94720, USADepartment of Physics, Oregon State University , Corvallis, OR 97331, USA; Institute for Gravitational Wave Astronomy and School of Physics and Astronomy, University of Birmingham , Edgbaston, Birmingham B15 2TT, UKDepartment of Astronomy, University of California , Berkeley 501 Campbell Hall #3411 Berkeley, CA 94720, USADepartment of Physics, Montana State University , Bozeman, MT 59717, USAPulsar timing arrays recently found evidence for a gravitational-wave background (GWB), likely the stochastic overlap of gravitational waves from many supermassive black hole binaries. Anticipating a continuous gravitational-wave (CW) detection from a single binary soon to follow, we examine how well current Bayesian methods can detect CWs and characterize their binary properties by modeling the response of the NANOGrav 15 yr pulsar timing array to simulated binary populations. We run Markov Chain Monte Carlo searches for CWs in these data sets and compare them to quicker detection statistics including the optimal signal-to-noise ratio (S/N), matched filter detection statistic, and reduced log-likelihood ratio between the signal and noise models calculated at the injected parameters. The latter is the best proxy for Bayesian detection fractions, corresponding to a 50% detection fraction (by Bayes factors >10 favoring a CW detection over noise-only model) at an S/N = 4.6. Source confusion between the GWB and a CW, or between multiple CWs, can cause false detections and unexpected dismissals. Fifty-three percent of realistic binary populations consistent with the recently observed GWB have successful CW detections. Additionally, 82% of these CWs are in the fourth or fifth frequency bin of the 16.03 yr data set (6.9 and 10.8 nHz), with 95th percentile regions spanning 4–12 nHz frequencies, 0.7–20 × 10 ^9 M _⊙ chirp masses, 60 Mpc–8 Gpc luminosity distances, and 18–13,000 deg ^2 68% confidence localization areas. These successful detections often poorly recover the chirp mass, with only 29% identifying the chirp mass accurately to within 1 dex with a 68% posterior width also narrower than 1 dex.https://doi.org/10.3847/1538-4357/ade4c2Gravitational wavesSupermassive black holesGravitational wave sourcesGravitational wave astronomyMarkov chain Monte Carlo
spellingShingle Emiko C. Gardiner
Bence Bécsy
Luke Zoltan Kelley
Neil J. Cornish
Characterizing Continuous Gravitational Waves from Supermassive Black Hole Binaries in Realistic Pulsar Timing Array Data
The Astrophysical Journal
Gravitational waves
Supermassive black holes
Gravitational wave sources
Gravitational wave astronomy
Markov chain Monte Carlo
title Characterizing Continuous Gravitational Waves from Supermassive Black Hole Binaries in Realistic Pulsar Timing Array Data
title_full Characterizing Continuous Gravitational Waves from Supermassive Black Hole Binaries in Realistic Pulsar Timing Array Data
title_fullStr Characterizing Continuous Gravitational Waves from Supermassive Black Hole Binaries in Realistic Pulsar Timing Array Data
title_full_unstemmed Characterizing Continuous Gravitational Waves from Supermassive Black Hole Binaries in Realistic Pulsar Timing Array Data
title_short Characterizing Continuous Gravitational Waves from Supermassive Black Hole Binaries in Realistic Pulsar Timing Array Data
title_sort characterizing continuous gravitational waves from supermassive black hole binaries in realistic pulsar timing array data
topic Gravitational waves
Supermassive black holes
Gravitational wave sources
Gravitational wave astronomy
Markov chain Monte Carlo
url https://doi.org/10.3847/1538-4357/ade4c2
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