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Search for gravitational wave signals from known pulsars in LIGO-Virgo O3 data using the -vector ensemble method
Phys. Rev. D 108, 122002 – Published 4 December, 2023
DOI: https://doi.org/10.1103/PhysRevD.108.122002
Abstract
The -vector ensemble method is a multiple test for the targeted search of continuous gravitational waves from an ensemble of known pulsars. This method can improve the detection probability by combining the results from individually undetectable pulsars if few signals are near the detection threshold. In this paper, we apply the -vector ensemble method to the O3 dataset from the LIGO and Virgo detectors considering an ensemble of 201 known pulsars. We find no evidence for a signal from the ensemble and set a 95% credible upper limit on the mean ellipticity assuming a common exponential distribution for the pulsars’ ellipticities. Using two independent hierarchical Bayesian procedures, we find upper limits of and on the mean ellipticity for the 201 analyzed pulsars.
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The coherence is a number between 0 and 1 that measures the resemblance between the shape of the expected signal and the data. Differently form the p-value, the noise distribution of the coherence is not flat between 0 and 1 (see [10]). It is a supplemental parameter to show the significance of the detection.