Bayesian parameter estimation for targeted anisotropic gravitational-wave background
Entity
UAM. Departamento de Física TeóricaPublisher
American Physical SocietyDate
2023-01-15Citation
10.1103/PhysRevD.107.023024
Physical Review D 107.2 (2023): 023024
ISSN
2470-0010 (print); 2470-0029 (online)DOI
10.1103/PhysRevD.107.023024Funded by
PGC2018-094773-B-C32, CEX2020-001007-SProject
Gobierno de España. PGC2018-094773-B-C32; Gobierno de España. CEX2020-001007-SEditor's Version
https://doi.org/10.1103/PhysRevD.107.023024Subjects
Gravitational Waves; LIGO (Observatory); Neutron Stars; FísicaRights
© 2023 American Physical SocietyAbstract
Extended sources of the stochastic gravitational backgrounds have been conventionally searched on the spherical harmonics bases. The analysis during the previous observing runs by the ground-based gravitational-wave detectors, such as LIGO and Virgo, have yielded the constraints on the angular power spectrum Cℓ, yet it lacks the capability of estimating other parameters such as a spectral index. In this paper, we introduce an alternative Bayesian formalism to search for such stochastic signals with a particular distribution of anisotropies on the sky. This approach provides a Bayesian posterior of model parameters and also enables selection tests among different signal models. While the conventional analysis fixes the highest angular scale a priori, here we show a more systematic and quantitative way to determine the cutoff scale based on a Bayes factor, which depends on the amplitude and the angular scale of observed signals. Also, we analyze the third observing runs of LIGO and Virgo for the population of millisecond pulsars and obtain the 95% constraints of the signal amplitude, ϵ<2.7×10-8
Files in this item
Google Scholar:Tsukada, Leo
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Jaraba Gómez, Santiago
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Agarwal, Deepali
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Floden, Erik
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