- Access by Xinjiang University
Improved parametrized test of general relativity using the IMRPhenomX waveform family: Including higher harmonics and precession
Phys. Rev. D 113, 024016 – Published 8 January, 2026
DOI: https://doi.org/10.1103/855k-sys5
Abstract
When testing general relativity (GR) with gravitational wave observations, parametrized tests of deviations from the expected strong-field source dynamics are one of the most widely used techniques. We present an updated version of the parametrized framework with the state-of-art IMRPhenomX waveform family. Our new framework incorporates deviations in the dominant mode as well as in the higher-order modes of the waveform. We demonstrate that the missing physics of either higher-order modes or precession in the parametrized model can lead to a biased conclusion of false deviation from GR. Our new implementation mitigates this issue and enables us to perform the tests for highly asymmetric and precessing binaries without being subject to systematic biases due to missing physics. Finally, we apply the improved test to analyze events observed during the second half of the third observing run of LIGO and Virgo (O3b). We provide constraints on GR deviations by combining O3b results with those from previous observation runs. Our findings show no evidence for violations of GR.
Physics Subject Headings (PhySH)
Article Text
References (103)
- 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).
- W. E. East and J. L. Ripley, Phys. Rev. D 103, 044040 (2021).
- M. Bezares, R. Aguilera-Miret, L. ter Haar, M. Crisostomi, C. Palenzuela, and E. Barausse, Phys. Rev. Lett. 128, 091103 (2022).
- P. Figueras and T. França, Phys. Rev. D 105, 124004 (2022).
- L. Aresté Saló, K. Clough, and P. Figueras, Phys. Rev. Lett. 129, 261104 (2022).
- L. Aresté Saló, K. Clough, and P. Figueras, Phys. Rev. D 108, 084018 (2023).
- L. Aresté Saló, S. E. Brady, K. Clough, D. Doneva, T. Evstafyeva, P. Figueras, T. França, L. Rossi, and S. Yao, J. Open Source Softw. 9, 6369 (2024).
- M. Corman, J. L. Ripley, and W. E. East, Phys. Rev. D 107, 024014 (2023).
- M. Corman and W. E. East, Phys. Rev. D 110, 084065 (2024).
- M. Okounkova, L. C. Stein, M. A. Scheel, and S. A. Teukolsky, Phys. Rev. D 100, 104026 (2019).
- M. Okounkova, Phys. Rev. D 102, 084046 (2020).
- R. Cayuso, P. Figueras, T. França, and L. Lehner, Phys. Rev. Lett. 131, 111403 (2023).
- L. Blanchet and B. S. Sathyaprakash, Phys. Rev. Lett. 74, 1067 (1995).
- K. G. Arun, B. R. Iyer, M. S. S. Qusailah, and B. S. Sathyaprakash, Classical Quantum Gravity 23, L37 (2006).
- K. G. Arun, B. R. Iyer, M. S. S. Qusailah, and B. S. Sathyaprakash, Phys. Rev. D 74, 024006 (2006).
- N. Yunes and F. Pretorius, Phys. Rev. D 80, 122003 (2009).
- C. K. Mishra, K. G. Arun, B. R. Iyer, and B. S. Sathyaprakash, Phys. Rev. D 82, 064010 (2010).
- M. Agathos, W. Del Pozzo, T. G. F. Li, C. Van Den Broeck, J. Veitch, and S. Vitale, Phys. Rev. D 89, 082001 (2014).
- T. G. F. Li, W. Del Pozzo, S. Vitale, C. Van Den Broeck, M. Agathos, J. Veitch, K. Grover, T. Sidery, R. Sturani, and A. Vecchio, Phys. Rev. D 85, 082003 (2012).
- J. Meidam et al., Phys. Rev. D 97, 044033 (2018).
- H. Narola, S. Roy, and A. S. Sengupta, Phys. Rev. D 107, 024017 (2023).
- A. Sharma, S. Roy, and A. S. Sengupta, Phys. Rev. D 109, 124049 (2024).
- P. T. H. Pang, J. Calderón Bustillo, Y. Wang, and T. G. F. Li, Phys. Rev. D 98, 024019 (2018).
- E. Maggio, H. O. Silva, A. Buonanno, and A. Ghosh, Phys. Rev. D 108, 024043 (2023).
- R. S. Chandramouli, K. Prokup, E. Berti, and N. Yunes, Phys. Rev. D 111, 044026 (2025).
- P. Narayan, N. K. Johnson-McDaniel, and A. Gupta, Phys. Rev. D 108, 064003 (2023).
- M. A. Shaikh, S. A. Bhat, and S. J. Kapadia, Phys. Rev. D 110, 024030 (2024).
- G. Caneva Santoro, S. Roy, R. Vicente, M. Haney, O. J. Piccinni, W. Del Pozzo, and M. Martinez, Phys. Rev. Lett. 132, 251401 (2024).
- S. Roy and R. Vicente, Phys. Rev. D 111, 084037 (2025).
- A. Mishra, N. V. Krishnendu, and A. Ganguly, Phys. Rev. D 110, 084009 (2024).
- M. Wright, J. Janquart, and N. Johnson-McDaniel, Astrophys. J. 981, 133 (2025).
- A. Liu, R. S. Chandramouli, O. A. Hannuksela, N. Yunes, and T. G. F. Li, Phys. Rev. D 112, 064043 (2025).
- A. Gupta et al., SciPost Phys. Commun. Rep. 5 (2025).
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. D 100, 104036 (2019).
- R. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. D 103, 122002 (2021).
- R. Abbott et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), Phys. Rev. D 112, 084080 (2025).
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. Lett. 123, 011102 (2019).
- A. K. Mehta, A. Buonanno, R. Cotesta, A. Ghosh, N. Sennett, and J. Steinhoff, Phys. Rev. D 107, 044020 (2023).
- 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).
- S. Khan, F. Ohme, K. Chatziioannou, and M. Hannam, Phys. Rev. D 101, 024056 (2020).
- G. Pratten et al., Phys. Rev. D 103, 104056 (2021).
- 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).
- M. Colleoni, F. A. Ramis Vidal, N. K. Johnson-McDaniel, T. Dietrich, M. Haney, and G. Pratten, Phys. Rev. D 111, 064025 (2025).
- A. Abac, T. Dietrich, A. Buonanno, J. Steinhoff, and M. Ujevic, Phys. Rev. D 109, 024062 (2024).
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. Lett. 116, 221101 (2016); 121, 129902(E) (2018).
- LIGO Scientific Collaboration, LIGO Algorithm Library—lalsuite, free software (GPL) (2023).
- M. Cabero, A. B. Nielsen, A. P. Lundgren, and C. D. Capano, Phys. Rev. D 95, 064016 (2017).
- https://git.ligo.org/lscsoft/lalsuite/-/commits/653065c0f77c76f413aae3b09c41b3b878c11840.
- C. M. Will, Phys. Rev. D 50, 6058 (1994).
- N. Yunes, P. Pani, and V. Cardoso, Phys. Rev. D 85, 102003 (2012).
- K. G. Arun, Classical Quantum Gravity 29, 075011 (2012).
- E. Barausse, N. Yunes, and K. Chamberlain, Phys. Rev. Lett. 116, 241104 (2016).
- K. Yagi, L. C. Stein, and N. Yunes, Phys. Rev. D 93, 024010 (2016).
- P. Schmidt, M. Hannam, and S. Husa, Phys. Rev. D 86, 104063 (2012).
- T. A. Apostolatos, C. Cutler, G. J. Sussman, and K. S. Thorne, Phys. Rev. D 49, 6274 (1994).
- L. E. Kidder, Phys. Rev. D 52, 821 (1995).
- P. Schmidt, M. Hannam, S. Husa, and P. Ajith, Phys. Rev. D 84, 024046 (2011).
- M. Hannam, P. Schmidt, A. Bohé, L. Haegel, S. Husa, F. Ohme, G. Pratten, and M. Pürrer, Phys. Rev. Lett. 113, 151101 (2014).
- A. Bohé, M. Hannam, S. Husa, F. Ohme, M. Pürrer, and P. Schmidt, PhenomPv2—technical notes for the LAL implementation, Technical Report No. LIGO-T1500602-v4, 2019, https://dcc.ligo.org/LIGO-T1500602/public.
- J. Veitch and A. Vecchio, Phys. Rev. D 81, 062003 (2010).
- G. Ashton, C. Talbot, S. Roy, G. Pratten, T.-H. Pang, M. Agathos, T. Baka, E. Sänger, A. Mehta, J. Steinhoff, E. Maggio, A. Ghosh, and A. Vijaykumar, bilby TGR (2024).
- G. Ashton et al., Astrophys. J. Suppl. Ser. 241, 27 (2019).
- J. S. Speagle, Mon. Not. R. Astron. Soc. 493, 3132 (2020).
- M. Hannam et al., Nature (London) 610, 652 (2022).
- R. Abbott et al. (KAGRA, Virgo, and LIGO Scientific Collaborations), Phys. Rev. X 13, 041039 (2023).
- E. Payne, S. Hourihane, J. Golomb, R. Udall, R. Udall, D. Davis, and K. Chatziioannou, Phys. Rev. D 106, 104017 (2022).
- L. Barsotti, S. Gras, M. Evans, and P. Fritschel, The updated Advanced LIGO design curve, LIGO Technical Note T1800044-v5, T0900288-v3, 2018.
- A. Manzotti and A. Dietz, arXiv:1202.4031.
- LIGO Scientific Collaboration, LALSimulation-LALInference Parameter Transformations, https://lscsoft.docs.ligo.org/lalsuite/lalsimulation/group__lalsimulation__inference.html (accessed: October 06, 2024).
- LIGO Scientific, Virgo, and KAGRA Collaborations, 10.5281/zenodo.8177023 (2023).
- R. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. D 109, 022001 (2024).
- A. Zimmerman, C.-J. Haster, and K. Chatziioannou, Phys. Rev. D 99, 124044 (2019).
- P. Virtanen et al., Nat. Methods 17, 261 (2020).
- M. Isi, K. Chatziioannou, and W. M. Farr, Phys. Rev. Lett. 123, 121101 (2019).
- B. Carpenter, A. Gelman, M. D. Hoffman, D. Lee, B. Goodrich, M. Betancourt, M. Brubaker, J. Guo, P. Li, and A. Riddell, J. Stat. Softw. 76, 1–32 (2017).
- R. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. D 102, 043015 (2020).
- R. Abbott et al. (LIGO Scientific and Virgo Collaborations), Astrophys. J. Lett. 896, L44 (2020).
- S. Roy, A. S. Sengupta, and K. G. Arun, Phys. Rev. D 103, 064012 (2021).
- S. Kastha, A. Gupta, K. G. Arun, B. S. Sathyaprakash, and C. Van Den Broeck, Phys. Rev. D 98, 124033 (2018).
- P. Mahapatra and S. Kastha, Phys. Rev. D 109, 084069 (2024).
- S. Dhanpal, A. Ghosh, A. K. Mehta, P. Ajith, and B. S. Sathyaprakash, Phys. Rev. D 99, 104056 (2019).
- A. Puecher, C. Kalaghatgi, S. Roy, Y. Setyawati, I. Gupta, B. S. Sathyaprakash, and C. Van Den Broeck, Phys. Rev. D 106, 082003 (2022).
- T. Islam, A. K. Mehta, A. Ghosh, V. Varma, P. Ajith, and B. S. Sathyaprakash, Phys. Rev. D 101, 024032 (2020).
- C. D. Capano and A. H. Nitz, Phys. Rev. D 102, 124070 (2020).
- P. Mahapatra, Phys. Rev. D 109, 024050 (2024).
- P. Mahapatra, S. Kastha, A. Gupta, B. S. Sathyaprakash, and K. G. Arun, Phys. Rev. D 109, 064036 (2024).
- E. M. Sänger, S. Roy, M. Agathos, O. Birnholtz, A. Buonanno, T. Dietrich, M. Haney, F.-L. Julié, G. Pratten, J. Steinhoff et al., arXiv:2406.03568.
- https://git.ligo.org/lscsoft/lalsuite.
- A. G. Abac et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), Astrophys. J. Lett. 970, L34 (2024).
- 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.
- R. Sturani, Note on the derivation of the angular momentum and spin precessing equations in SpinTaylor codes, Technical Report No. LIGO-T1500554-v23, LIGO Scientific Collaboration, 2019.
- C. R. Harris et al., Nature (London) 585, 357 (2020).
- J. D. Hunter, Comput. Sci. Eng. 9, 90 (2007).
- https://www.gwosc.org/.
- A. Bohé et al., Phys. Rev. D 95, 044028 (2017).
- LIGO Scientific, Virgo, KAGRA Collaborations, Data release for tests of general relativity with GWTC-3, Technical Report No. LIGO-P2100456, 2021, https://dcc.ligo.org/P2100456.
- R. Cotesta, S. Marsat, and M. Pürrer, Phys. Rev. D 101, 124040 (2020).