Population study of gamma ray bursts: detection sensitivity and upper limits

Mathematics – Probability

Scientific paper

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Scientific paper

Gravitational wave (GW) detector data taken around the time of occurrence of astronomical triggers, such as gamma ray bursts (GRBs), can be combined to search for a GW signature associated with a sample of multiple triggers. This approach accumulates a signal-to-noise ratio from weak signals that may not be individually detectable with high confidence. We study the issue of the sensitivity of such an approach in the context of a concrete model for the distribution of signal strengths from GRBs and a specific implementation that is currently being applied to LIGO data from science runs S2, S3 and S4. It is demonstrated that the population signature can be detected with a much larger probability than signals from individual GRBs. This can be used to draw useful astrophysical inferences when interesting triggers occur too far away to allow high confidence, direct detections of GW signals from individual triggers.

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