- Open Access
Self-lensing flares from black hole binaries. V. Systematic searches in LSST
Phys. Rev. D 113, 043055 – Published 25 February, 2026
DOI: https://doi.org/10.1103/p328-62sl
Abstract
The Vera C. Rubin Observatory has now seen first light, and over a 10 year duration, Legacy Survey of Space and Time (LSST) is projected to catalog tens of millions of quasars, many of which are expected to be associated with subparsec supermassive black hole binaries (SMBHBs). Out of these SMBHBs, up to thousands of relatively massive binary-quasars are expected to exhibit gravitational self-lensing flares (SLFs) that last for at least 20–30 days. We assess the effectiveness of the Lomb-Scargle (LS) periodogram and matched filters (MFs) as methods for systematic searches for these binaries, using toy-models of hydrodynamical, Doppler, and self-lensing variability from equal-mass, eccentric SMBHBs. We inject SLFs into random realizations of damped random walk (DRW) lightcurves, representing stochastic quasar variability, and compute the LS periodogram with and without the SLF. We find that periodograms of light-curves do not have maximum peak heights that could not arise from DRW-only periodograms. On the other hand, the matched filter signal-to-noise ratio (SNR) can distinguish SLFs from noise even with LSST-like cadences and DRW noise. Furthermore, we develop a three-step procedure with matched filters, which can also recover injected binary parameters from these light-curves. We expect this method to be computationally efficient enough to be applicable to millions of quasar light-curves in LSST.
Physics Subject Headings (PhySH)
See Also
Self-lensing flares from black hole binaries. IV. The number of detectable shadows
Article Text
References (63)
- J. Kormendy and L. C. Ho, Annu. Rev. Astron. Astrophys. 51, 511 (2013).
- M. C. Begelman, R. D. Blandford, and M. J. Rees, Nature (London) 287, 307 (1980).
- B. D. Farris, P. Duffell, A. I. MacFadyen, and Z. Haiman, Mon. Not. R. Astron. Soc.: Lett. 446, L36 (2015).
- Y. Tang, Z. Haiman, and A. MacFadyen, Mon. Not. R. Astron. Soc. 476, 2249 (2018).
- L. Major Krauth, J. Davelaar, Z. Haiman, J. R. Westernacher-Schneider, J. Zrake, and A. MacFadyen, Mon. Not. R. Astron. Soc. 526, 5441 (2023).
- A. J. Dittmann, G. Ryan, and M. C. Miller, Astrophys. J. Lett. 949, L30 (2023).
- A. De Rosa et al., New Astron. Rev. 86, 101525 (2019).
- D. J. D’Orazio and M. Charisi, arXiv:2310.16896.
- T. Bogdanovic, M. C. Miller, and L. Blecha, Living Rev. Relativity 25, 3 (2022).
- M. J. Graham, S. G. Djorgovski, D. Stern, A. J. Drake, A. A. Mahabal, C. Donalek, E. Glikman, S. Larson, and E. Christensen, Mon. Not. R. Astron. Soc. 453, 1562 (2015).
- Y.-J. Chen, S. Zhai, J.-R. Liu, W.-J. Guo, Y.-C. Peng, Y.-R. Li, Y.-Y. Songsheng, P. Du, C. Hu, and J.-M. Wang, Mon. Not. R. Astron. Soc. 527, 12154 (2024).
- M. Charisi, I. Bartos, Z. Haiman, A. M. Price-Whelan, M. J. Graham, E. C. Bellm, R. R. Laher, and S. Márka, Mon. Not. R. Astron. Soc. 463, 2145 (2016).
- P. Huijse, J. Davelaar, J. D. Ridder, N. Jannsen, and C. Aerts, arXiv:2505.16884.
- J. Robnik, A. E. Bayer, M. Charisi, Z. Haiman, A. Lin, and U. Seljak, Mon. Not. R. Astron. Soc. 534, 1609 (2024).
- A. Sesana, Z. Haiman, B. Kocsis, and L. Z. Kelley, Astrophys. J. 856, 42 (2018).
- K. El-Badry, D. W. Hogg, and H.-W. Rix, arXiv:2509.10601.
- G. Agazie, A. Anumarlapudi, A. M. Archibald et al. (The Nanograv Collaboration), Astrophys. J. Lett. 951, L8 (2023).
- J. Antoniadis, P. Arumugam, S. Arumugam et al. (The EPTA and InPTA Collaborations), Astron. Astrophys. 678, A50 (2023).
- D. J. Reardon, A. Zic, R. M. Shannon, G. B. Hobbs, M. Bailes, V. Di Marco, A. Kapur, A. F. Rogers, E. Thrane et al., Astrophys. J. Lett. 951, L6 (2023).
- H. Xu et al., Res. Astron. Astrophys. 23, 075024 (2023).
- E. A. Nikita Agarwal, Astrophys. J. Lett. 998, L11 (2026).
- P. Amaro-Seoane et al., arXiv:1702.00786.
- C. Xin and Z. Haiman, Mon. Not. R. Astron. Soc. 533, 3164 (2024).
- J. Baker et al., arXiv:1903.04417.
- C. Xin and Z. Haiman, Mon. Not. R. Astron. Soc. 506, 2408 (2021).
- C. L. MacLeod, Ž. Ivezić, C. S. Kochanek, S. Kozłowski, B. Kelly, E. Bullock, A. Kimball, B. Sesar, D. Westman, K. Brooks, R. Gibson, A. C. Becker, and W. H. de Vries, Astrophys. J. 721, 1014 (2010).
- W. Yu, G. T. Richards, J. J. Ruan, M. S. Vogeley, F. E. Bauer, and M. J. Graham, arXiv:2508.12076.
- S. Vaughan, P. Uttley, A. G. Markowitz, D. Huppenkothen, M. J. Middleton, W. N. Alston, J. D. Scargle, and W. M. Farr, Mon. Not. R. Astron. Soc. 461, 3145 (2016).
- K. El-Badry, D. W. Hogg, and H.-W. Rix, arXiv:2509.10601.
- J. Davelaar and Z. Haiman, Phys. Rev. D 105, 103010 (2022).
- J. Davelaar and Z. Haiman, Phys. Rev. Lett. 128, 191101 (2022).
- L. M. Krauth, J. Davelaar, Z. Haiman, J. R. Westernacher-Schneider, J. Zrake, and A. MacFadyen, Phys. Rev. D 109, 103014 (2024).
- K. Park, C. Xin, J. Davelaar, and Z. Haiman, Phys. Rev. D 111, 063011 (2025).
- B. X. Hu, D. J. D’Orazio, Z. Haiman, K. L. Smith, B. Snios, M. Charisi, and R. Di Stefano, Mon. Not. R. Astron. Soc. 495, 4061 (2020).
- E. Kun, S. Frey, and K. É Gabányi, Mon. Not. R. Astron. Soc. 496, 3336 (2020).
- N. M. Sorabella, S. Bhattacharya, S. G. T. Laycock, D. M. Christodoulou, and A. Massarotti, Astrophys. J. 927, 234 (2022).
- W. Kollatschny and D. Chelouche, Astron. Astrophys. 690, L2 (2024).
- L. Z. Kelley, D. J. D’Orazio, and R. Di Stefano, Mon. Not. R. Astron. Soc. 508, 2524 (2021).
- P. A. Abell, J. Allison, S. F. Anderson, J. R. Andrew et al. (LSST Science Collaboration), arXiv:0912.0201.
- D. Sijacki, M. Vogelsberger, S. Genel, V. Springel, P. Torrey, G. F. Snyder, D. Nelson, and L. Hernquist, Mon. Not. R. Astron. Soc. 452, 575 (2015).
- Á. Kis-Tóth, Z. Haiman, and Z. Frei, Classical Quantum Gravity 42, 075007 (2025).
- K. Porter, S. C. Noble, E. M. Gutierrez, J. Pelle, M. Campanelli, J. Schnittman, and B. J. Kelly, Astrophys. J. 979, 155 (2025).
- C. Xin, M. Isi, W. M. Farr, and Z. Haiman, arXiv:2506.10846.
- Z. Haiman, Phys. Rev. D 96, 023004 (2017).
- D. J. D’Orazio, P. C. Duffell, and C. Tiede, Astrophys. J. 977, 244 (2024).
- A. Lin, M. Charisi, and Z. Haiman, arXiv:2505.14778.
- T. Bogdanović, C. S. Reynolds, and M. C. Miller, Astrophys. J. 661, L147 (2007).
- Rubin Observatory, Baseline_v3.3 Survey Strategy Release, https://community.lsst.org/t/baseline-v3-3-run-released/8042 (2024), rubin Observatory Community Forum.
- v. Ivezić, R. L. Jones, and R. Lupton, The LSST photon rates and SNR calculations, v1.2, Technical Report No. LSE-40, Department of Astronomy, University of Washington, 2010.
- M. Siwek, R. Weinberger, and L. Hernquist, Mon. Not. R. Astron. Soc. 522, 2707 (2023).
- I. M. Sobol’, Zh. Vychisl. Mat. i Mat. Phys. 7, 784 (1967).
- Í. Zubeldia, A. Rotti, J. Chluba, and R. Battye, Mon. Not. R. Astron. Soc. 507, 4852 (2021).
- D. J. D’Orazio and R. Di Stefano, Mon. Not. R. Astron. Soc. 474, 2975 (2018).
- A. Lowe, R. W. Jones, and M. J. Harrison, Journal of Intelligent Information Systems: Integrating Artificial Intelligence and Database Technologies 13, 27 (1999).
- P. Virtanen et al. (SciPy 1.0 Contributors), Nat. Methods 17, 261 (2020).
- S. D. von Fellenberg et al., Astron. Astrophys. 688, L12 (2024).
- T. E. Oliphant, Comput. Sci. Eng. 9, 10 (2007).
- K. J. Millman and M. Aivazis, Comput. Sci. Eng. 13, 9 (2011).
- S. van der Walt, S. C. Colbert, and G. Varoquaux, Comput. Sci. Eng. 13, 22 (2011).
- J. D. Hunter, Comput. Sci. Eng. 9, 90 (2007).
- Ž. Ivezić, A. Connolly, J. Vanderplas, and A. Gray, Statistics, Data Mining and Machine Learning in Astronomy (Princeton University Press, Princeton, NJ, 2014).
- D. Foreman-Mackey, J. Open Source Softwaare 1, 24 (2016).
- http://iaifi.org/.