TY - JOUR

T1 - Bayesian F -statistic-based parameter estimation of continuous gravitational waves from known pulsars

AU - Ashok, A.

AU - Covas, P. B.

AU - Prix, R.

AU - Papa, M. A.

N1 - 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.

PY - 2024/5/1

Y1 - 2024/5/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85191984169&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2401.17025

DO - 10.48550/arXiv.2401.17025

M3 - Article

AN - SCOPUS:85191984169

VL - 109

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 10

M1 - 104002

ER -