- Open Access
Generalized parameter-space metrics for continuous gravitational-wave searches
Phys. Rev. D 112, 044041 – Published 21 August, 2025
DOI: https://doi.org/10.1103/1vds-2cgh
Abstract
Many searches for continuous gravitational waves face significant computational challenges due to the need to explore large parameter spaces characterized by unknown parameters. Parameter-space metrics are used to predict the relative loss of signal power when the searched parameters differ from the true signal parameters. In this paper, we present generalized parameter-space metrics for the -statistic (a detection statistic used in many searches) that improve upon previous idealized metrics by incorporating realistic effects such as data gaps and varying noise floors. We derive a new marginalized -statistic metric that is more accurate than the previous averaged -statistic metric, especially for short coherent segments. We also derive a more accurate semicoherent metric that properly accounts for the signal-power variability over segments. We provide numerical tests illustrating that the new generalized metrics provide more accurate mismatch predictions than previous expressions. More accurate metrics can result in a reduced number of templates needed for a given search, a feature that could improve the sensitivity of future searches.
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References (39)
- K. Riles, Living Rev. Relativity 26, 3 (2023).
- P. Jaranowski, A. Królak, and B. F. Schutz, Phys. Rev. D 58, 063001 (1998).
- C. Cutler and B. F. Schutz, Phys. Rev. D 72, 063006 (2005).
- K. Wette, Astropart. Phys. 153, 102880 (2023).
- P. R. Brady and T. Creighton, Phys. Rev. D 61, 082001 (2000).
- R. Prix, Phys. Rev. D 75, 023004 (2007).
- H. J. Pletsch, Phys. Rev. D 82, 042002 (2010).
- K. Wette, Phys. Rev. D 92, 082003 (2015).
- LIGO Scientific Collaboration, Virgo Collaboration, and KAGRA Collaboration, The O3a data release, 10.7935/nfnt-hm34(2021).
- LIGO Scientific Collaboration, Virgo Collaboration, and KAGRA Collaboration, The O3b data release, 10.7935/pr1e-j706 (2021).
- LIGO Scientific Collaboration, Classical Quantum Gravity 32, 074001 (2015).
- B. Steltner, M. A. Papa, and H.-B. Eggenstein, Phys. Rev. D 105, 022005 (2022).
- R. Prix, Classical Quantum Gravity 24, S481 (2007).
- B. Allen, Phys. Rev. D 104, 042005 (2021).
- R. Prix and M. Shaltev, Phys. Rev. D 85, 084010 (2012).
- M. Sieniawska and D. I. Jones, Mon. Not. R. Astron. Soc. 509, 5179 (2021).
- J. S. Speagle, Mon. Not. R. Astron. Soc. 493, 3132 (2020).
- P. B. Covas and R. Prix, Phys. Rev. D 106, 084035 (2022).
- R. Prix, LIGO DCC T0900149-v6, 2010.
- R. Prix and B. Krishnan, Classical Quantum Gravity 26, 204013 (2009).
- B. Allen and G. Mendell, LIGO DCC T040164, 2004.
- C. Dreissigacker, R. Prix, and K. Wette, Phys. Rev. D 98, 084058 (2018).
- R. Prix, Classical Quantum Gravity 42, 065006 (2025).
- R. Prix, S. Giampanis, and C. Messenger, Phys. Rev. D 84, 023007 (2011).
- K. Wette and R. Prix, Phys. Rev. D 88, 123005 (2013).
- G. Ashton and R. Prix, Phys. Rev. D 97, 103020 (2018).
- P. R. Brady, T. Creighton, C. Cutler, and B. F. Schutz, Phys. Rev. D 57, 2101 (1998).
- LIGO Scientific Collaboration, Virgo Collaboration, and KAGRA Collaboration, LALSuite, 10.7935/GT1W-FZ16 (2018).
- J. T. Whelan, S. Sundaresan, Y. Zhang, and P. Peiris, Phys. Rev. D 91, 102005 (2015).
- J. Ming, B. Krishnan, M. A. Papa, C. Aulbert, and H. Fehrmann, Phys. Rev. D 93, 064011 (2016).
- P. B. Covas and R. Prix, Phys. Rev. D 105, 124007 (2022).
- K. Wette, SoftwareX 12, 100634 (2020).
- P. Leaci and R. Prix, Phys. Rev. D 91, 102003 (2015).
- P. B. Covas, R. Prix, and J. Martins, Phys. Rev. D 110, 024053 (2024).
- LIGO Scientific Collaboration, Virgo Collaboration, and KAGRA Collaboration, doi: 10.7935/CA75-FM95 (2019).
- D. Keitel, R. Prix, M. A. Papa, P. Leaci, and M. Siddiqi, Phys. Rev. D 89, 064023 (2014).
- gwosc.org
- LIGO Scientific Collaboration and Virgo Collaboration, SoftwareX 13, 100658 (2021).
- LIGO Scientific Collaboration, Virgo Collaboration, and KAGRA Collaboration, Astrophys. J. Suppl. Ser. 267, 29 (2023).