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arXiv · 2401.17025

Bayesian $\mathcal{F}$-statistic-based parameter estimation of continuous gravitational waves from known pulsars

A. Ashok·P. B. Covas·R. Prix·M. A. Papa
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Abstract

We present a new method and implementation to obtain Bayesian posteriors on the amplitude parameters $\{h_0, \cos \iota, \psi, \phi_0\}$ of continuous-gravitational waves emitted by known pulsars. This approach leverages the well-established $\mathcal{F}$-statistic framework and software. We further explore the benefits of employing a likelihood function that is analytically marginalized over $\phi_0$, which avoids signal degeneracy problems in the $\psi$-$\phi_0$ subspace. The method is tested on simulated signals, hardware injections in Advanced-LIGO detector data, and by performing percentile-percentile (PP) 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 $h_0^{95\%}$ on the gravitational-wave amplitude of approximately $7 \times 10^{-27}$, comparable with a previous frequentist upper limit.

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A. Ashok, P. B. Covas, R. Prix, M. A. Papa. 2024-01-30. Bayesian $\mathcal{F}$-statistic-based parameter estimation of continuous gravitational waves from known pulsars. https://doi.org/10.1103/physrevd.109.104002

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