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Modeling the frequency-domain ringdown amplitude of comparable-mass mergers with greybody factors

Romeo Felice Rosato1,2,*, Sophia Yi3,†, Emanuele Berti3,‡, and Paolo Pani1,2,§

  • *Contact author: romeofelice.rosato@uniroma1.it
  • †Contact author: syi24@jh.edu
  • ‡Contact author: berti@jhu.edu
  • §Contact author: paolo.pani@uniroma1.it

Phys. Rev. D 113, 064060 – Published 30 March, 2026

DOI: https://doi.org/10.1103/jqgb-mfg1

Abstract

It was recently shown that, in a binary coalescence, the greybody factor of the remnant black hole modulates the postmerger ringdown signal. In this work, we demonstrate that a simple four-parameter model based on the greybody factor accurately reproduces the frequency-domain amplitude of a large set of comparable-mass, aligned-spin numerical relativity waveforms from the SXS catalog, achieving mismatches of order O(10−5) and improving existing models by roughly 2 orders of magnitude. We also identify the optimal initial frequency for applying the model in the frequency domain and provide analytical fits of the model parameters in terms of the progenitor masses and aligned spins. Our results pave the way for new consistency tests of the ringdown phase, complementary to traditional black hole spectroscopy.

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References (54)

  1. E. Berti et al., arXiv:2505.23895.
  2. A. G. Abac et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), Phys. Rev. Lett. 135, 111403 (2025).
  3. The LIGO Scientific, the Virgo, and the KAGRA Collaborations, Phys. Rev. Lett. 136, 041403 (2026).
  4. F. Crescimbeni, G. Carullo, E. Berti, G. Caneva Santoro, M. H.-Y. Cheung, and P. Pani, arXiv:2511.02915.
  5. G. Carullo, W. Del Pozzo, and J. Veitch, Phys. Rev. D 99, 123029 (2019); 100, 089903(E) (2019).
  6. M. Isi, M. Giesler, W. M. Farr, M. A. Scheel, and S. A. Teukolsky, Phys. Rev. Lett. 123, 111102 (2019).
  7. R. Cotesta, G. Carullo, E. Berti, and V. Cardoso, Phys. Rev. Lett. 129, 111102 (2022).
  8. E. Finch and C. J. Moore, Phys. Rev. D 106, 043005 (2022).
  9. S. Ma, L. Sun, and Y. Chen, Phys. Rev. D 107, 084010 (2023).
  10. M. Isi and W. M. Farr, Phys. Rev. Lett. 131, 169001 (2023).
  11. G. Carullo, R. Cotesta, E. Berti, and V. Cardoso, Phys. Rev. Lett. 131, 169002 (2023).
  12. C. D. Capano, M. Cabero, J. Westerweck, J. Abedi, S. Kastha, A. H. Nitz, Y.-F. Wang, A. B. Nielsen, and B. Krishnan, Phys. Rev. Lett. 131, 221402 (2023).
  13. H. Siegel, M. Isi, and W. M. Farr, Phys. Rev. D 108, 064008 (2023).
  14. R. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. D 103, 122002 (2021).
  15. R. Abbott et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), Phys. Rev. D 112, 084080 (2025).
  16. A. Gupta et al., SciPost Phys. Commun. Rep., 5 (2025).
  17. J. Calderón Bustillo, P. D. Lasky, and E. Thrane, Phys. Rev. D 103, 024041 (2021).
  18. K. Chandra and J. Calderón Bustillo, arXiv:2509.17315.
  19. V. Gennari, G. Carullo, and W. Del Pozzo, Eur. Phys. J. C 84, 233 (2024).
  20. A. Kankani and S. T. McWilliams, arXiv:2510.25012.
  21. N. Oshita, Phys. Rev. D 109, 104028 (2024).
  22. R. F. Rosato, K. Destounis, and P. Pani, Phys. Rev. D 110, L121501 (2024).
  23. R. F. Rosato, S. Biswas, S. Chakraborty, and P. Pani, Phys. Rev. D 111, 084051 (2025).
  24. K. Okabayashi and N. Oshita, Phys. Rev. D 110, 064086 (2024).
  25. N. Oshita, K. Takahashi, and S. Mukohyama, Phys. Rev. D 110, 084070 (2024).
  26. R. F. Rosato, S. Biswas, S. Chakraborty, and P. Pani, arXiv:2511.08692.
  27. H.-P. Nollert, Phys. Rev. D 53, 4397 (1996).
  28. E. Barausse, V. Cardoso, and P. Pani, Phys. Rev. D 89, 104059 (2014).
  29. J. L. Jaramillo, R. Panosso Macedo, and L. Al Sheikh, Phys. Rev. X 11, 031003 (2021).
  30. M. H.-Y. Cheung, K. Destounis, R. P. Macedo, E. Berti, and V. Cardoso, Phys. Rev. Lett. 128, 111103 (2022).
  31. E. Berti, V. Cardoso, M. H.-Y. Cheung, F. Di Filippo, F. Duque, P. Martens, and S. Mukohyama, Phys. Rev. D 106, 084011 (2022).
  32. M. Boyle et al., Classical Quantum Gravity 36, 195006 (2019).
  33. M. A. Scheel et al., Classical Quantum Gravity 42, 195017 (2025).
  34. S. A. Teukolsky, Phys. Rev. Lett. 29, 1114 (1972).
  35. W. H. Press and S. A. Teukolsky, Nature (London) 238, 211 (1972).
  36. A. A. Starobinskii, Sov. Phys. JETP 37, 28 (1973), https://inspirehep.net/literature/1487986.
  37. A. A. Starobinskil and S. M. Churilov, Sov. Phys. JETP 65, 1 (1974), https://inspirehep.net/literature/1594792.
  38. L. S. Finn and D. F. Chernoff, Phys. Rev. D 47, 2198 (1993).
  39. C. Cutler and E. E. Flanagan, Phys. Rev. D 49, 2658 (1994).
  40. L. Blanchet, T. Damour, G. Esposito-Farese, and B. R. Iyer, Phys. Rev. Lett. 93, 091101 (2004).
  41. M. H.-Y. Cheung, E. Berti, V. Baibhav, and R. Cotesta, Phys. Rev. D 109, 044069 (2024); 110, 049902(E) (2024); 112, 049901(E) (2025).
  42. T. Hastie, R. Tibshirani, and J. Friedman, The Elements of Statistical Learning: Data Mining, Inference and Prediction, 2nd ed. (Springer, New York, 2009).
  43. E. E. Flanagan and S. A. Hughes, Phys. Rev. D 57, 4566 (1998).
  44. L. Lindblom, B. J. Owen, and D. A. Brown, Phys. Rev. D 78, 124020 (2008).
  45. R. S. Chandramouli, K. Prokup, E. Berti, and N. Yunes, Phys. Rev. D 111, 044026 (2025).
  46. C. Anselmo, C. Pacilio, and D. Gerosa, arXiv:2512.05193.
  47. E. Berti and A. Klein, Phys. Rev. D 90, 064012 (2014).
  48. https://data.black-holes.org/simulations/index.html.
  49. Y. Chen et al., Phys. Rev. D 110, 064049 (2024).
  50. P. Pani, Int. J. Mod. Phys. A 28, 1340018 (2013).
  51. W. H. Press and S. A. Teukolsky, Astrophys. J. 185, 649 (1973).
  52. E. Berti, V. Cardoso, and M. Casals, Phys. Rev. D 73, 024013 (2006); 73, 109902(E) (2006).
  53. F. Pedregosa, G. Varoquaux, A. Gramfort, V. Michel, B. Thirion, O. Grisel, M. Blondel, P. Prettenhofer, R. Weiss, V. Dubourg et al., J. Mach. Learn. Res. 12, 2825 (2011).
  54. LIGO Scientific Collaboration, Instrument science white paper 2018, LIGO Document T1800044 (2018).

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