Interpreting the results of searches for gravitational waves from coalescing binaries

Brady, Patrick R. and Fairhurst, Stephen ORCID: https://orcid.org/0000-0001-8480-1961 2008. Interpreting the results of searches for gravitational waves from coalescing binaries. Classical and Quantum Gravity 25 (10) , 105002. 10.1088/0264-9381/25/10/105002

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Abstract

We describe a method to obtain an astrophysical result from the output of a search for gravitational waves from coalescing binaries. Specifically, we introduce a method based on the loudest event statistic to calculate an upper limit or interval on the astrophysical rate of binary coalescence. The calculation depends upon the sensitivity and noise background of the detectors, and a model for the astrophysical distribution of coalescing binaries. There are significant uncertainties in the calculation of the rate due to both astrophysical and instrumental uncertainties as well as errors introduced by using the post-Newtonian waveform to approximate the full signal. We catalog these uncertainties in detail and describe a method for marginalizing over them. Throughout, we provide an example based on the initial LIGO detectors.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Subjects:	Q Science > QB Astronomy
Publisher:	Institute of Physics
ISSN:	0264-9381
Last Modified:	21 Oct 2022 08:56
URI:	https://orca.cardiff.ac.uk/id/eprint/34810

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