Bayesian F -statistic-based parameter estimation of continuous gravitational waves from known pulsars

verfasst von: A. Ashok, P. B. Covas, R. Prix, M. A. Papa
Abstract: We present a new method and implementation to obtain Bayesian posteriors on the amplitude parameters {h0,cosι,ψ,φ0} of continuous gravitational waves emitted by known pulsars. This approach leverages the well-established F-statistic framework and software. We further explore the benefits of employing a likelihood function that is analytically marginalized over φ0, which avoids signal degeneracy problems in the ψ-φ0 subspace. The method is tested on simulated signals, hardware injections in Advanced-LIGO detector data, and by performing percentile-percentile self-consistency tests of the posteriors via Monte-Carlo simulations. We apply our methodology to PSR J1526-2744, a recently discovered millisecond pulsar. We find no evidence for a signal and obtain a Bayesian upper limit h095% on the gravitational-wave amplitude of approximately 7×10-27, comparable with a previous frequentist upper limit.
Organisationseinheit(en): Institut für Gravitationsphysik
Externe Organisation(en): Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)
Typ: Artikel
Journal: Physical Review D
Band: 109
Anzahl der Seiten: 15
ISSN: 2470-0010
Publikationsdatum: 01.05.2024
Publikationsstatus: Veröffentlicht
Peer-reviewed: Ja
ASJC Scopus Sachgebiete: Kern- und Hochenergiephysik
Elektronische Version(en): https://doi.org/10.48550/arXiv.2401.17025 (Zugang: Offen)
https://doi.org/10.1103/PhysRevD.109.104002 (Zugang: Offen)

BibTeX

@article{9258b02f1cab4d2da534758ba2feb277,
title = "Bayesian F -statistic-based parameter estimation of continuous gravitational waves from known pulsars",
abstract = "We present a new method and implementation to obtain Bayesian posteriors on the amplitude parameters {h0,cosι,ψ,φ0} of continuous gravitational waves emitted by known pulsars. This approach leverages the well-established F-statistic framework and software. We further explore the benefits of employing a likelihood function that is analytically marginalized over φ0, which avoids signal degeneracy problems in the ψ-φ0 subspace. The method is tested on simulated signals, hardware injections in Advanced-LIGO detector data, and by performing percentile-percentile self-consistency tests of the posteriors via Monte-Carlo simulations. We apply our methodology to PSR J1526-2744, a recently discovered millisecond pulsar. We find no evidence for a signal and obtain a Bayesian upper limit h095% on the gravitational-wave amplitude of approximately 7×10-27, comparable with a previous frequentist upper limit.",
author = "A. Ashok and Covas, {P. B.} and R. Prix and Papa, {M. A.}",
note = "Funding Information: This project has received funding from the European Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 101029058. This work has utilized the ATLAS computing cluster at the MPI for Gravitational Physics Hannover. We thank the anonymous referee for suggestions that improved the paper. ",
year = "2024",
month = may,
day = "1",
doi = "10.48550/arXiv.2401.17025",
language = "English",
volume = "109",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Institute of Physics",
number = "10",
}