- Open Access
Adding equatorial-asymmetric effects for spin-precessing binaries into the seobnrv5phm waveform model
Phys. Rev. D 113, 044049 – Published 18 February, 2026
DOI: https://doi.org/10.1103/pjbd-pjxn
Abstract
Gravitational waves from spin-precessing binaries exhibit equatorial asymmetries absent in nonprecessing systems, leading to net linear momentum emission and contributing to the remnant’s recoil. This effect, recently incorporated into only a few waveform models, is crucial for accurate recoil predictions and improved parameter estimation. We present an upgrade to the seobnrv5phm model——which includes equatorial asymmetric contributions to the waveform modes in the co-precessing frame. The model combines post-Newtonian inputs with calibrated amplitude and phase corrections and a phenomenological merger-ringdown description, tuned against 1523 quasicircular spin-precessing numerical relativity waveforms and single-spin-precessing test-body plunging-geodesic waveforms. We find that improves the agreement with numerical relativity waveforms across inclinations, with median unfaithfulness reduced by up to 50% compared to seobnrv5phm, and achieves 30%–60% lower unfaithfulness than imrphenomxpnr and 76%–80% lower than teobresums_dali. The model significantly improves the prediction of the recoil velocity, reducing the median relative error with numerical relativity from 70% to 1%. Bayesian inference on synthetic injections demonstrates improved recovery of spin orientations and mass parameters, and a reanalysis of GW200129 shows a threefold increase in the spin-precessing Bayes factor, highlighting the importance of these effects for interpreting spin-precessing events.
Physics Subject Headings (PhySH)
Article Text
References (191)
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. Lett. 116, 061102 (2016).
- J. Aasi et al. (LIGO Scientific Collaboration), Classical Quantum Gravity 32, 074001 (2015).
- F. Acernese et al. (VIRGO Collaboration), Classical Quantum Gravity 32, 024001 (2015).
- T. Akutsu et al. (KAGRA Collaboration), Prog. Theor. Exp. Phys. 2021, 05A101 (2021).
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. X 9, 031040 (2019).
- R. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. X 11, 021053 (2021).
- R. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. D 109, 022001 (2024).
- R. Abbott et al. (KAGRA, VIRGO, and LIGO Scientific Collaborations), Phys. Rev. X 13, 041039 (2023).
- A. H. Nitz, S. Kumar, Y.-F. Wang, S. Kastha, S. Wu, M. Schäfer, R. Dhurkunde, and C. D. Capano, Astrophys. J. 946, 59 (2023).
- D. Wadekar, J. Roulet, T. Venumadhav, A. K. Mehta, B. Zackay, J. Mushkin, S. Olsen, and M. Zaldarriaga, arXiv:2312.06631.
- R. Abbott et al. (KAGRA, VIRGO, and LIGO Scientific Collaborations), Phys. Rev. X 13, 011048 (2023).
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. Lett. 121, 161101 (2018).
- B. P. Abbott et al. (LIGO Scientific, Virgo, 1M2H, Dark Energy Camera GW-E, DES, DLT40, Las Cumbres Observatory, VINROUGE, and MASTER Collaborations), Nature (London) 551, 85 (2017).
- R. Abbott et al. (LIGO Scientific, VIRGO, KAGRA Collaborations), Phys. Rev. D 112, 084080 (2025).
- Y. Pan, A. Buonanno, J. G. Baker, J. Centrella, B. J. Kelly, S. T. McWilliams, F. Pretorius, and J. R. van Meter, Phys. Rev. D 77, 024014 (2008).
- P. Ajith et al., Classical Quantum Gravity 24, S689 (2007).
- P. Ajith et al., Phys. Rev. Lett. 106, 241101 (2011).
- L. Santamaria et al., Phys. Rev. D 82, 064016 (2010).
- M. Hannam, P. Schmidt, A. Bohé, L. Haegel, S. Husa, F. Ohme, G. Pratten, and M. Pürrer, Phys. Rev. Lett. 113, 151101 (2014).
- S. Husa, S. Khan, M. Hannam, M. Pürrer, F. Ohme, X. Jiménez Forteza, and A. Bohé, Phys. Rev. D 93, 044006 (2016).
- S. Khan, S. Husa, M. Hannam, F. Ohme, M. Pürrer, X. Jiménez Forteza, and A. Bohé, Phys. Rev. D 93, 044007 (2016).
- L. London, S. Khan, E. Fauchon-Jones, C. García, M. Hannam, S. Husa, X. Jiménez-Forteza, C. Kalaghatgi, F. Ohme, and F. Pannarale, Phys. Rev. Lett. 120, 161102 (2018).
- S. Khan, K. Chatziioannou, M. Hannam, and F. Ohme, Phys. Rev. D 100, 024059 (2019).
- S. Khan, F. Ohme, K. Chatziioannou, and M. Hannam, Phys. Rev. D 101, 024056 (2020).
- T. Dietrich, A. Samajdar, S. Khan, N. K. Johnson-McDaniel, R. Dudi, and W. Tichy, Phys. Rev. D 100, 044003 (2019).
- G. Pratten, S. Husa, C. Garcia-Quiros, M. Colleoni, A. Ramos-Buades, H. Estelles, and R. Jaume, Phys. Rev. D 102, 064001 (2020).
- C. García-Quirós, M. Colleoni, S. Husa, H. Estellés, G. Pratten, A. Ramos-Buades, M. Mateu-Lucena, and R. Jaume, Phys. Rev. D 102, 064002 (2020).
- G. Pratten et al., Phys. Rev. D 103, 104056 (2021).
- E. Hamilton, L. London, J. E. Thompson, E. Fauchon-Jones, M. Hannam, C. Kalaghatgi, S. Khan, F. Pannarale, and A. Vano-Vinuales, Phys. Rev. D 104, 124027 (2021).
- J. E. Thompson, E. Hamilton, L. London, S. Ghosh, P. Kolitsidou, C. Hoy, and M. Hannam, Phys. Rev. D 109, 063012 (2024).
- M. Colleoni, F. A. R. Vidal, C. García-Quirós, S. Akçay, and S. Bera, Phys. Rev. D 111, 104019 (2025).
- E. Hamilton et al., arXiv:2507.02604.
- H. Estellés, A. Ramos-Buades, S. Husa, C. García-Quirós, M. Colleoni, L. Haegel, and R. Jaume, Phys. Rev. D 103, 124060 (2021).
- H. Estellés, S. Husa, M. Colleoni, D. Keitel, M. Mateu-Lucena, C. García-Quirós, A. Ramos-Buades, and A. Borchers, Phys. Rev. D 105, 084039 (2022).
- H. Estellés, M. Colleoni, C. García-Quirós, S. Husa, D. Keitel, M. Mateu-Lucena, M. d. L. Planas, and A. Ramos-Buades, Phys. Rev. D 105, 084040 (2022).
- M. Rosselló-Sastre, S. Husa, and S. Bera, Phys. Rev. D 110, 084074 (2024).
- M. d. L. Planas, A. Ramos-Buades, C. García-Quirós, H. Estellés, S. Husa, and M. Haney, Phys. Rev. D 113, 024006 (2026).
- A. Buonanno and T. Damour, Phys. Rev. D 59, 084006 (1999).
- A. Buonanno and T. Damour, Phys. Rev. D 62, 064015 (2000).
- T. Damour, P. Jaranowski, and G. Schaefer, Phys. Rev. D 62, 084011 (2000).
- T. Damour, Phys. Rev. D 64, 124013 (2001).
- A. Buonanno, Y. Chen, and T. Damour, Phys. Rev. D 74, 104005 (2006).
- A. Buonanno, G. B. Cook, and F. Pretorius, Phys. Rev. D 75, 124018 (2007).
- A. Buonanno, Y. Pan, J. G. Baker, J. Centrella, B. J. Kelly, S. T. McWilliams, and J. R. van Meter, Phys. Rev. D 76, 104049 (2007).
- A. Buonanno, Y. Pan, H. P. Pfeiffer, M. A. Scheel, L. T. Buchman, and L. E. Kidder, Phys. Rev. D 79, 124028 (2009).
- Y. Pan, A. Buonanno, L. T. Buchman, T. Chu, L. E. Kidder, H. P. Pfeiffer, and M. A. Scheel, Phys. Rev. D 81, 084041 (2010).
- Y. Pan, A. Buonanno, M. Boyle, L. T. Buchman, L. E. Kidder, H. P. Pfeiffer, and M. A. Scheel, Phys. Rev. D 84, 124052 (2011).
- A. Taracchini, Y. Pan, A. Buonanno, E. Barausse, M. Boyle, T. Chu, G. Lovelace, H. P. Pfeiffer, and M. A. Scheel, Phys. Rev. D 86, 024011 (2012).
- A. Taracchini et al., Phys. Rev. D 89, 061502(R) (2014).
- A. Bohé et al., Phys. Rev. D 95, 044028 (2017).
- R. Cotesta, A. Buonanno, A. Bohé, A. Taracchini, I. Hinder, and S. Ossokine, Phys. Rev. D 98, 084028 (2018).
- S. Ossokine et al., Phys. Rev. D 102, 044055 (2020).
- L. Pompili et al., Phys. Rev. D 108, 124035 (2023).
- A. Ramos-Buades, A. Buonanno, H. Estellés, M. Khalil, D. P. Mihaylov, S. Ossokine, L. Pompili, and M. Shiferaw, Phys. Rev. D 108, 124037 (2023).
- A. Gamboa et al., Phys. Rev. D 112, 044038 (2025).
- T. Damour and A. Nagar, Phys. Rev. D 90, 044018 (2014).
- A. Nagar, T. Damour, C. Reisswig, and D. Pollney, Phys. Rev. D 93, 044046 (2016).
- A. Nagar et al., Phys. Rev. D 98, 104052 (2018).
- A. Nagar, G. Pratten, G. Riemenschneider, and R. Gamba, Phys. Rev. D 101, 024041 (2020).
- A. Nagar, G. Riemenschneider, G. Pratten, P. Rettegno, and F. Messina, Phys. Rev. D 102, 024077 (2020).
- G. Riemenschneider, P. Rettegno, M. Breschi, A. Albertini, R. Gamba, S. Bernuzzi, and A. Nagar, Phys. Rev. D 104, 104045 (2021).
- D. Chiaramello and A. Nagar, Phys. Rev. D 101, 101501(R) (2020).
- R. Gamba, S. Akçay, S. Bernuzzi, and J. Williams, Phys. Rev. D 106, 024020 (2022).
- R. Gamba, D. Chiaramello, and S. Neogi, Phys. Rev. D 110, 024031 (2024).
- S. Albanesi, R. Gamba, S. Bernuzzi, J. Fontbuté, A. Gonzalez, and A. Nagar, Phys. Rev. D 112, L121503 (2025).
- J. Blackman, S. E. Field, C. R. Galley, B. Szilágyi, M. A. Scheel, M. Tiglio, and D. A. Hemberger, Phys. Rev. Lett. 115, 121102 (2015).
- J. Blackman, S. E. Field, M. A. Scheel, C. R. Galley, D. A. Hemberger, P. Schmidt, and R. Smith, Phys. Rev. D 95, 104023 (2017).
- J. Blackman, S. E. Field, M. A. Scheel, C. R. Galley, C. D. Ott, M. Boyle, L. E. Kidder, H. P. Pfeiffer, and B. Szilágyi, Phys. Rev. D 96, 024058 (2017).
- V. Varma, S. E. Field, M. A. Scheel, J. Blackman, L. E. Kidder, and H. P. Pfeiffer, Phys. Rev. D 99, 064045 (2019).
- V. Varma, S. E. Field, M. A. Scheel, J. Blackman, D. Gerosa, L. C. Stein, L. E. Kidder, and H. P. Pfeiffer, Phys. Rev. Res. 1, 033015 (2019).
- D. Williams, I. S. Heng, J. Gair, J. A. Clark, and B. Khamesra, Phys. Rev. D 101, 063011 (2020).
- N. E. M. Rifat, S. E. Field, G. Khanna, and V. Varma, Phys. Rev. D 101, 081502(R) (2020).
- T. Islam, V. Varma, J. Lodman, S. E. Field, G. Khanna, M. A. Scheel, H. P. Pfeiffer, D. Gerosa, and L. E. Kidder, Phys. Rev. D 103, 064022 (2021).
- T. Islam, S. E. Field, S. A. Hughes, G. Khanna, V. Varma, M. Giesler, M. A. Scheel, L. E. Kidder, and H. P. Pfeiffer, Phys. Rev. D 106, 104025 (2022).
- T. Islam, G. Khanna, and S. E. Field, Phys. Rev. D 111, 124023 (2025).
- E. Hamilton et al., Phys. Rev. D 109, 044032 (2024).
- E. Hamilton, L. London, and M. Hannam, Phys. Rev. D 107, 104035 (2023).
- S. Ghosh, P. Kolitsidou, and M. Hannam, Phys. Rev. D 109, 024061 (2024).
- J. Valencia, R. Tenorio, M. Rosselló-Sastre, and S. Husa, Phys. Rev. D 110, 124026 (2024).
- S. Akcay, R. Gamba, and S. Bernuzzi, Phys. Rev. D 103, 024014 (2021).
- S. Albanesi, Phys. Rev. D 111, L121501 (2025).
- D. P. Mihaylov, S. Ossokine, A. Buonanno, H. Estelles, L. Pompili, M. Pürrer, and A. Ramos-Buades, arXiv:2303.18203.
- M. Khalil, A. Buonanno, H. Estelles, D. P. Mihaylov, S. Ossokine, L. Pompili, and A. Ramos-Buades, Phys. Rev. D 108, 124036 (2023).
- M. van de Meent, A. Buonanno, D. P. Mihaylov, S. Ossokine, L. Pompili, N. Warburton, A. Pound, B. Wardell, L. Durkan, and J. Miller, Phys. Rev. D 108, 124038 (2023).
- M. Haberland, A. Buonanno, and J. Steinhoff, Phys. Rev. D 112, 084024 (2025).
- F.-L. Julié, L. Pompili, and A. Buonanno, Phys. Rev. D 111, 024016 (2025).
- A. Buonanno, G. Mogull, R. Patil, and L. Pompili, Phys. Rev. Lett. 133, 211402 (2024).
- B. Leather, A. Buonanno, and M. van de Meent, Phys. Rev. D 112, 044012 (2025).
- M. A. Scheel et al., Classical Quantum Gravity 42, 195017 (2025).
- M. Boyle et al., Classical Quantum Gravity 36, 195006 (2019).
- K. Rink, R. Bachhar, T. Islam, N. E. M. Rifat, K. Gonzalez-Quesada, S. E. Field, G. Khanna, S. A. Hughes, and V. Varma, Phys. Rev. D 110, 124069 (2024).
- J. Yoo et al., Phys. Rev. D 108, 064027 (2023).
- M. Pürrer and C.-J. Haster, Phys. Rev. Res. 2, 023151 (2020).
- Q. Hu and J. Veitch, Phys. Rev. D 106, 044042 (2022).
- A. Nagar, P. Rettegno, R. Gamba, S. Albanesi, A. Albertini, and S. Bernuzzi, Phys. Rev. D 108, 124018 (2023).
- C. Foo and E. Hamilton, Phys. Rev. D 110, 104024 (2024).
- J. Mac Uilliam, S. Akcay, and J. E. Thompson, Phys. Rev. D 109, 084077 (2024).
- V. Kapil, L. Reali, R. Cotesta, and E. Berti, Phys. Rev. D 109, 104043 (2024).
- A. Dhani, S. Völkel, A. Buonanno, H. Estelles, J. Gair, H. P. Pfeiffer, L. Pompili, and A. Toubiana, Phys. Rev. X 15, 031036 (2025).
- Q. Hu and J. Veitch, Astrophys. J. 945, 103 (2023).
- A. Toubiana, L. Pompili, A. Buonanno, J. R. Gair, and M. L. Katz, Phys. Rev. D 109, 104019 (2024).
- A. Gupta et al., arXiv:2405.02197.
- C. J. Moore and J. R. Gair, Phys. Rev. Lett. 113, 251101 (2014).
- C. J. Moore, C. P. L. Berry, A. J. K. Chua, and J. R. Gair, Phys. Rev. D 93, 064001 (2016).
- A. Z. Jan, A. B. Yelikar, J. Lange, and R. O’Shaughnessy, Phys. Rev. D 102, 124069 (2020).
- J. S. Read, Classical Quantum Gravity 40, 135002 (2023).
- C. Hoy, S. Akcay, J. Mac Uilliam, and J. E. Thompson, Nat. Astron. 9, 1256 (2025).
- S. Khan, Phys. Rev. D 109, 104045 (2024).
- L. Pompili, A. Buonanno, and M. Pürrer, Phys. Rev. D 112, 044062 (2025).
- M. Boyle, L. E. Kidder, S. Ossokine, and H. P. Pfeiffer, arXiv:1409.4431.
- B. Bruegmann, J. A. Gonzalez, M. Hannam, S. Husa, and U. Sperhake, Phys. Rev. D 77, 124047 (2008).
- M. Campanelli, C. O. Lousto, Y. Zlochower, and D. Merritt, Phys. Rev. Lett. 98, 231102 (2007).
- J. A. Gonzalez, M. D. Hannam, U. Sperhake, B. Bruegmann, and S. Husa, Phys. Rev. Lett. 98, 231101 (2007).
- Y. Zlochower, M. Campanelli, and C. O. Lousto, Classical Quantum Gravity 28, 114015 (2011).
- C. O. Lousto and Y. Zlochower, Phys. Rev. Lett. 107, 231102 (2011).
- C. O. Lousto, Y. Zlochower, M. Dotti, and M. Volonteri, Phys. Rev. D 85, 084015 (2012).
- C. O. Lousto and J. Healy, Phys. Rev. D 100, 104039 (2019).
- D. Gerosa and M. Fishbach, Nat. Astron. 5, 749 (2021).
- P. Mahapatra, A. Gupta, M. Favata, K. G. Arun, and B. S. Sathyaprakash, Astrophys. J. Lett. 918, L31 (2021).
- C. A. Álvarez, H. W. Y. Wong, A. Liu, and J. Calderón Bustillo, Astrophys. J. 977, 220 (2024).
- A. Borchers, C. S. Ye, and M. Fishbach, Astrophys. J. 987, 146 (2025).
- S. Ma, M. Giesler, V. Varma, M. A. Scheel, and Y. Chen, Phys. Rev. D 104, 084003 (2021).
- J. Mielke, S. Ghosh, A. Borchers, and F. Ohme, Phys. Rev. D 111, 064009 (2025).
- S. H. W. Leong, A. F. Tomé, J. Calderón Bustillo, A. del Río, and N. Sanchis-Gual, Phys. Rev. D 112, 084078 (2025).
- J. Calderón Bustillo, J. A. Clark, P. Laguna, and D. Shoemaker, Phys. Rev. Lett. 121, 191102 (2018).
- A. Borchers and F. Ohme, Classical Quantum Gravity 40, 095008 (2023).
- J. Calderón Bustillo, S. H. W. Leong, and K. Chandra, Nat. Astron. 9, 1530 (2025).
- P. Kolitsidou, J. E. Thompson, and M. Hannam, Phys. Rev. D 111, 024050 (2025).
- A. Borchers, F. Ohme, J. Mielke, and S. Ghosh, Phys. Rev. D 110, 024037 (2024).
- D. Gerosa, M. Kesden, E. Berti, R. O’Shaughnessy, and U. Sperhake, Phys. Rev. D 87, 104028 (2013).
- S. Vitale, R. Lynch, R. Sturani, and P. Graff, Classical Quantum Gravity 34, 03LT01 (2017).
- B. Farr, D. E. Holz, and W. M. Farr, Astrophys. J. Lett. 854, L9 (2018).
- M. Mapelli, arXiv:2106.00699.
- K. G. Arun, A. Buonanno, G. Faye, and E. Ochsner, Phys. Rev. D 79, 104023 (2009); 84, 049901(E) (2011).
- A. Apte and S. A. Hughes, Phys. Rev. D 100, 084031 (2019).
- H. Lim, G. Khanna, A. Apte, and S. A. Hughes, Phys. Rev. D 100, 084032 (2019).
- M. Hannam et al., Nature (London) 610, 652 (2022).
- E. Payne, S. Hourihane, J. Golomb, R. Udall, R. Udall, D. Davis, and K. Chatziioannou, Phys. Rev. D 106, 104017 (2022).
- B. S. Sathyaprakash and B. F. Schutz, Living Rev. Relativity 12, 2 (2009).
- E. Racine, Phys. Rev. D 78, 044021 (2008).
- P. Schmidt, F. Ohme, and M. Hannam, Phys. Rev. D 91, 024043 (2015).
- C. Cutler and E. E. Flanagan, Phys. Rev. D 49, 2658 (1994).
- P. Ajith, Phys. Rev. D 84, 084037 (2011).
- E. Poisson and C. M. Will, Phys. Rev. D 52, 848 (1995).
- M. Boyle, Phys. Rev. D 87, 104006 (2013).
- A. Buonanno, Y.-b. Chen, and M. Vallisneri, Phys. Rev. D 67, 104025 (2003); 74, 029904(E) (2006).
- M. Boyle, D. A. Brown, L. E. Kidder, A. H. Mroue, H. P. Pfeiffer, M. A. Scheel, G. B. Cook, and S. A. Teukolsky, Phys. Rev. D 76, 124038 (2007).
- P. Schmidt, M. Hannam, S. Husa, and P. Ajith, Phys. Rev. D 84, 024046 (2011).
- P. Schmidt, M. Hannam, and S. Husa, Phys. Rev. D 86, 104063 (2012).
- R. O’Shaughnessy, L. London, J. Healy, and D. Shoemaker, Phys. Rev. D 87, 044038 (2013).
- A. Ramos-Buades, P. Schmidt, G. Pratten, and S. Husa, Phys. Rev. D 101, 103014 (2020).
- T. Damour and A. Nagar, Phys. Rev. D 76, 064028 (2007).
- T. Damour, B. R. Iyer, and A. Nagar, Phys. Rev. D 79, 064004 (2009).
- Y. Pan, A. Buonanno, R. Fujita, E. Racine, and H. Tagoshi, Phys. Rev. D 83, 064003 (2011); 87, 109901(E) (2013).
- T. Damour and A. Nagar, Phys. Rev. D 90, 024054 (2014).
- P. Schmidt, I. W. Harry, and H. P. Pfeiffer, arXiv:1703.01076.
- L. Barsotti, J. Harms, and R. Schnabel, Rep. Prog. Phys. 82, 016905 (2019).
- B. J. Kelly and J. G. Baker, Phys. Rev. D 87, 084004 (2013).
- X. Jiménez-Forteza, D. Keitel, S. Husa, M. Hannam, S. Khan, and M. Pürrer, Phys. Rev. D 95, 064024 (2017).
- S. E. Field, C. R. Galley, J. S. Hesthaven, J. Kaye, and M. Tiglio, Phys. Rev. X 4, 031006 (2014).
- Y. Maday, N. C. Nguyen, A. T. Patera, and S. H. Pau, Commun. Pure Appl. Anal. 8, 383 (2009).
- S. Chaturantabut and D. C. Sorensen, SIAM J. Sci. Comput. 32, 2737 (2010).
- V. Varma, D. Gerosa, L. C. Stein, F. Hébert, and H. Zhang, Phys. Rev. Lett. 122, 011101 (2019).
- F. Nobili, S. Bhagwat, C. Pacilio, and D. Gerosa, Phys. Rev. D 112, 044058 (2025).
- S. Mallat and Z. Zhang, IEEE Trans. Signal Process. 41, 3397 (1993).
- R. Rubinstein, M. Zibulevsky, and M. Elad, IEEE Trans,. Signal Process. 58, 1553 (2010).
- M. Boyle, D. Iozzo, and L. C. Stein, moble/scri: v1.2, 10.5281/zenodo.4041972 (2020).
- M. Boyle, Phys. Rev. D 93, 084031 (2016).
- F. Pedregosa, G. Varoquaux, A. Gramfort, V. Michel, B. Thirion, O. Grisel, M. Blondel, P. Prettenhofer, R. Weiss, V. Dubourg, J. Vanderplas, A. Passos, D. Cournapeau, M. Brucher, M. Perrot, and E. Duchesnay, J. Mach. Learn. Res. 12, 2825 (2011), https://scikit-learn.org/0.15/_sources/about.txt.
- I. Harry, S. Privitera, A. Bohé, and A. Buonanno, Phys. Rev. D 94, 024012 (2016).
- I. Harry, J. Calderón Bustillo, and A. Nitz, Phys. Rev. D 97, 023004 (2018).
- B. S. Sathyaprakash and S. V. Dhurandhar, Phys. Rev. D 44, 3819 (1991).
- L. S. Finn and D. F. Chernoff, Phys. Rev. D 47, 2198 (1993).
- I. Hinder, L. E. Kidder, and H. P. Pfeiffer, Phys. Rev. D 98, 044015 (2018).
- C. Capano, Y. Pan, and A. Buonanno, Phys. Rev. D 89, 102003 (2014).
- R. Gamba, M. Breschi, G. Carullo, S. Albanesi, P. Rettegno, S. Bernuzzi, and A. Nagar, Nat. Astron. 7, 11 (2023).
- M. Ruiz, R. Takahashi, M. Alcubierre, and D. Nunez, Gen. Relativ. Gravit. 40, 2467 (2008).
- R. J. E. Smith, G. Ashton, A. Vajpeyi, and C. Talbot, Mon. Not. R. Astron. Soc. 498, 4492 (2020).
- G. Ashton et al., Astrophys. J. Suppl. Ser. 241, 27 (2019).
- I. M. Romero-Shaw et al., Mon. Not. R. Astron. Soc. 499, 3295 (2020).
- C. Talbot et al., Classical Quantum Gravity 42, 235023 (2025).
- R. Green, C. Hoy, S. Fairhurst, M. Hannam, F. Pannarale, and C. Thomas, Phys. Rev. D 103, 124023 (2021).
- V. Varma, S. Biscoveanu, T. Islam, F. H. Shaik, C.-J. Haster, M. Isi, W. M. Farr, S. E. Field, and S. Vitale, Phys. Rev. Lett. 128, 191102 (2022).
- M. Vallisneri, J. Kanner, R. Williams, A. Weinstein, and B. Stephens, J. Phys. Conf. Ser. 610, 012021 (2015).
- D. Davis, T. J. Massinger, A. P. Lundgren, J. C. Driggers, A. L. Urban, and L. K. Nuttall, Classical Quantum Gravity 36, 055011 (2019).
- D. Davis, T. B. Littenberg, I. M. Romero-Shaw, M. Millhouse, J. McIver, F. Di Renzo, and G. Ashton, Classical Quantum Gravity 39, 245013 (2022).
- N. J. Cornish and T. B. Littenberg, Classical Quantum Gravity 32, 135012 (2015).
- S. Hourihane, K. Chatziioannou, M. Wijngaarden, D. Davis, T. Littenberg, and N. Cornish, Phys. Rev. D 106, 042006 (2022).
- J. S. Speagle, Mon. Not. R. Astron. Soc. 493, 3132 (2020).
- N. Gupte et al., Phys. Rev. D 112, 104045 (2025).
- M. d. L. Planas, A. Ramos-Buades, C. García-Quirós, H. Estellés, S. Husa, and M. Haney, Phys. Rev. D 112, 123004 (2025).