- Physical Review Journals
All JournalsPhysics Magazine

Physical Review D

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

High-order effective-one-body tidal interactions and gravitational scattering

Malte Schulze1, Sebastiano Bernuzzi1, Piero Rettegno2,3,4, Joan Fontbuté1, Andrea Placidi2, and Thibault Damour5

PDF

Phys. Rev. D 113, 104027 – Published 12 May, 2026

DOI: https://doi.org/10.1103/j9pp-dlrz

Abstract

Using state-of-the-art scattering results in post-Minkowskian (PM) gravity, we improve the tidal sector of four different flavors of the effective-one-body (EOB) formalism. We notably explore both adiabatic and postadiabatic gravitoelectric and gravitomagnetic quadrupolar tidal effects at the next-to-next-to-leading PM order. When comparing the predictions of the so-constructed Lagrange-PM-tidal version of EOB to recent numerical-relativity data on the scattering of neutron stars, we find improved agreement with respect to existing EOB models and PM expansions. Our work lays the foundation for the development of an accurate tidal sector of the PM EOB models, and points out the need to explore improved resummation schemes in PN EOB for bound and circularized orbits.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (53)

  1. T. Hinderer, Astrophys. J. 677, 1216 (2008).
  2. E. E. Flanagan and T. Hinderer, Phys. Rev. D 77, 021502 (2008).
  3. T. Damour, in Gravitational Radiation, edited by N. Deruelle and T. Piran (North-Holland, Amsterdam, 1983), pp. 59–144.
  4. T. Damour and A. Nagar, Phys. Rev. D 80, 084035 (2009).
  5. T. Binnington and E. Poisson, Phys. Rev. D 80, 084018 (2009).
  6. J. S. Read, C. Markakis, M. Shibata, K. Uryu, J. D. Creighton, J. D. E. Creighton, and J. L. Friedman, Phys. Rev. D 79, 124033 (2009).
  7. T. Hinderer, B. D. Lackey, R. N. Lang, and J. S. Read, Phys. Rev. D 81, 123016 (2010).
  8. T. Damour, A. Nagar, and L. Villain, Phys. Rev. D 85, 123007 (2012).
  9. A. Buonanno and T. Damour, Phys. Rev. D 59, 084006 (1999).
  10. T. Damour and A. Nagar, Phys. Rev. D 81, 084016 (2010).
  11. D. Bini, T. Damour, and G. Faye, Phys. Rev. D 85, 124034 (2012).
  12. S. Bernuzzi, A. Nagar, M. Thierfelder, and B. Brügmann, Phys. Rev. D 86, 044030 (2012).
  13. S. Akcay, S. Bernuzzi, F. Messina, A. Nagar, N. Ortiz, and P. Rettegno, Phys. Rev. D 99, 044051 (2019).
  14. R. Gamba et al., arXiv:2307.15125.
  15. D. Bini and T. Damour, Phys. Rev. D 90, 124037 (2014).
  16. S. Bernuzzi, A. Nagar, T. Dietrich, and T. Damour, Phys. Rev. Lett. 114, 161103 (2015).
  17. R. Gamba, M. Breschi, S. Bernuzzi, M. Agathos, and A. Nagar, Phys. Rev. D 103, 124015 (2021).
  18. J. Steinhoff, T. Hinderer, A. Buonanno, and A. Taracchini, Phys. Rev. D 94, 104028 (2016).
  19. E. Poisson, Phys. Rev. D 103, 064023 (2021).
  20. R. Gamba and S. Bernuzzi, Phys. Rev. D 107, 044014 (2023).
  21. T. Damour, Phys. Rev. D 94, 104015 (2016).
  22. T. Damour, Phys. Rev. D 97, 044038 (2018).
  23. T. Damour, Phys. Rev. D 102, 024060 (2020).
  24. M. Driesse, G. U. Jakobsen, G. Mogull, C. Nega, J. Plefka, B. Sauer, and J. Usovitsch, arXiv:2601.16256.
  25. D. Bini, T. Damour, and A. Geralico, Phys. Rev. D 101, 044039 (2020).
  26. C. Cheung and M. P. Solon, Phys. Rev. Lett. 125, 191601 (2020).
  27. G. Kälin, Z. Liu, and R. A. Porto, Phys. Rev. D 102, 124025 (2020).
  28. G. U. Jakobsen, G. Mogull, J. Plefka, and B. Sauer, Phys. Rev. D 109, L041504 (2024).
  29. M. K. Mandal, P. Mastrolia, H. O. Silva, R. Patil, and J. Steinhoff, J. High Energy Phys. 02 (2024) 188.
  30. J. Fontbuté, S. Bernuzzi, P. Rettegno, S. Albanesi, and W. Tichy, Phys. Rev. D 112, L121501 (2025).
  31. See Supplemental Material at http://link.aps.org/supplemental/10.1103/j9pp-dlrz for a Mathematica file containing the PM EOB coefficients as functions of energy.
  32. T. Damour, A. Nagar, A. Placidi, and P. Rettegno, Phys. Rev. D 113, 024042 (2026).
  33. P. H. Damgaard and P. Vanhove, Phys. Rev. D 104, 104029 (2021).
  34. M. Khalil, A. Buonanno, J. Steinhoff, and J. Vines, Phys. Rev. D 106, 024042 (2022).
  35. P. Rettegno, G. Pratten, L. M. Thomas, P. Schmidt, and T. Damour, Phys. Rev. D 108, 124016 (2023).
  36. T. Damour, P. Jaranowski, and G. Schaefer, Phys. Rev. D 62, 084011 (2000).
  37. W. D. Goldberger and I. Z. Rothstein, Phys. Rev. D 73, 104029 (2006).
  38. G. U. Jakobsen, G. Mogull, J. Plefka, and B. Sauer, arXiv:2312.00719.
  39. S. Chakrabarti, T. Delsate, and J. Steinhoff, Phys. Rev. D 88, 084038 (2013).
  40. T. Pitre and E. Poisson, Phys. Rev. D 109, 064004 (2024).
  41. L. Blanchet, Classical Quantum Gravity 15, 113 (1998); 22, 3381(E) (2005).
  42. W. D. Goldberger and A. Ross, Phys. Rev. D 81, 124015 (2010).
  43. T. Damour and G. Schäfer, Nuovo Cimento B 101, 127 (1988).
  44. T. Damour and A. Nagar, Phys. Rev. D 77, 024043 (2008).
  45. D. Bini and T. Damour, Phys. Rev. D 96, 064021 (2017).
  46. A. Nagar and P. Rettegno, Phys. Rev. D 104, 104004 (2021).
  47. J. E. Vines and E. E. Flanagan, Phys. Rev. D 88, 024046 (2010).
  48. Z. Bern, J. Parra-Martinez, R. Roiban, M. S. Ruf, C.-H. Shen, M. P. Solon, and M. Zeng, Phys. Rev. Lett. 128, 161103 (2022).
  49. T. Damour, T. Jain, and U. Sperhake, arXiv:2512.00945.
  50. T. Damour and P. Rettegno, Phys. Rev. D 107, 064051 (2023).
  51. S. Albanesi, R. Gamba, S. Bernuzzi, J. Fontbuté, A. Gonzalez, and A. Nagar, Phys. Rev. D 112, L121503 (2025).
  52. S. Bernuzzi, T. Dietrich, and A. Nagar, Phys. Rev. Lett. 115, 091101 (2015).
  53. L. Blanchet, Living Rev. Relativity 17, 2 (2014).

Outline

Information

Phys. Rev. D 113, 104027– Published 12 May, 2026
  • Received 29 March 2026
  • Accepted 17 April 2026
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation