False alarms induced by Gaussian noise in gravitational wave detectors
Entidad
UAM. Departamento de Física TeóricaEditor
American Physical SocietyFecha de edición
2023-01-31Cita
10.1103/PhysRevD.107.023027
Physical Review D 107.2 (2023): 023027
ISSN
2470-0010 (print); 2470-0029 (online)DOI
10.1103/PhysRevD.107.023027Proyecto
Gobierno de España. PGC2018-094773-B-C32; Gobierno de España. CEX2020-001007-SVersión del editor
https://doi.org/10.1103/PhysRevD.107.023027Materias
Gravitational Waves; LIGO (Observatory); Compact; FísicaDerechos
© 2023 American Physical SocietyResumen
Gaussian noise is an irreducible component of the background in gravitational wave (GW) detectors. Although stationary Gaussian noise is uncorrelated in frequencies, we show that there is an important correlation in time when looking at the matched filter signal-to-noise ratio (SNR) of a template, with a typical autocorrelation time that depends on the template and the shape of the noise power spectral density (PSD). Taking this correlation into account, we compute from first principles the false alarm rate (FAR) of a template in Gaussian noise, defined as the number of occurrences per unit time that the template's matched filter SNR goes over a threshold ρ. We find that the Gaussian FAR can be well approximated by the usual expression for uncorrelated noise, if we replace the sampling rate by an effective sampling rate that depends on the parameters of the template, the noise PSD, and the threshold ρ. This results in a minimum SNR threshold needed for a given GW trigger, if we want to keep events generated from Gaussian noise below a certain FAR. We extend the formalism to multiple detectors and to the analysis of GW events. We apply our method to the GW candidates added in the GWTC-3 catalog and discuss the possibility that GW200308_173609 and GW200322_091133 could be generated by Gaussian noise fluctuations
Lista de ficheros
Google Scholar:Morras Gutiérrez, Gonzalo
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Siles, Jose Francisco Nuño
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García-Bellido Capdevila, Juan
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Morales, Ester Ruiz
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