Using overlap of sky localization probability maps for filtering potentially lensed pairs of gravitational-wave signals
Autor: | Wong, Henry W. Y., Chan, Lok W. L., Wong, Isaac C. F., Lo, Rico K. L., Li, Tjonnie G. F. |
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Rok vydání: | 2021 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | When a gravitational wave passes by a massive object, its trajectory gets curved which can result in multiple images separated by a time delay, a phenomenon known as strong lensing. Although gravitational wave lensing has not been observed yet, it is currently predicted that it will be possible to detect with third-generation detectors. Moreover, the future detectors are expected to significantly increase the gravitational-wave detection rate up to $O(10^5 - 10^6)$ $\mathrm{yr}^{-1}$ which could also increase the chance of observing gravitational wave lensing. Therefore, it is necessary to develop accurate and efficient tools to filter potentially lensed gravitational-wave signal pairs. In the study, we propose three statistics to analyze the overlap of two sky localization probability maps, which could provide a quick preliminary lensing analysis of two gravitational-wave signals within 3 seconds. We simulate 200 lensed pairs of gravitational-wave signals for 5 signal-to-noise ratios to investigate the performance of the search methodology. By setting up a threshold with a specific false positive rate $\mathrm{FPR} = 10^{-2}$ for the three overlap statistics, we conclude that it is possible to filter out more than $99\%$ of the non-lensed event pairs while keeping all lensed event pairs. Comment: 8 pages, 3 figures, 2 tables |
Databáze: | arXiv |
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