Upcoming observational runs of the LIGO-Virgo-KAGRA collaboration, and future gravitational-wave (GW) detectors on the ground and in space, require waveform models more accurate than currently available. High-precision waveform models can be developed by improving the analytical description of compact binary dynamics and completing it with numerical-relativity (NR) information. Here, we assess the accuracy of the recent results for the fourth post-Minkowskian (PM) conservative dynamics through comparisons with NR simulations for the circular-orbit binding energy and for the scattering angle. We obtain that the 4PM dynamics gives better agreement with NR than the 3PM dynamics, and that while the 4PM approximation gives comparable results to the third post-Newtonian (PN) approximation for bound orbits, it performs better for scattering encounters. Furthermore, we incorporate the 4PM results in effective-one-body (EOB) Hamiltonians, which improves the disagreement with NR over the 4PM-expanded Hamiltonian from $\sim 40\%$ to $\sim 10\%$, or $\sim 3\%$ depending on the EOB gauge, for an equal-mass binary, two GW cycles before merger. Finally, we derive a 4PN-EOB Hamiltonian for hyperbolic orbits, and compare its predictions for the scattering angle to NR, and to the scattering angle of a 4PN-EOB Hamiltonian computed for elliptic orbits.
Gravitational Compton scattering at the fourth post-Minkowskian order
Scuola Normale Superiore（比萨高等师范学院）；INFN Sezione di Pisa（意大利国家核物理研究所比萨分部）；Dipartimento di Fisica e Astronomia, Università di Padova（帕多瓦大学物理与天文学系）；INFN, Sezione di Padova（意大利国家核物理研究所帕多瓦分部）；Higgs Centre for Theoretical Physics, University of Edinburgh（爱丁堡大学希格斯理论物理中心）
Constructing the canonical harmonic coordinates of Kerr metric to the fourth post-Minkowskian order
School of Physics and Astronomy, Beijing Normal University（北京师范大学物理学院）；School of Mathematics and Statistics, and Hunan Provincial University Key Laboratory for Big Data Analysis and Application, Hunan First Normal University（湖南第一师范学院数学与统计学院）；School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences（中国科学院大学杭州高等研究院基础物理与数学科学学院）
Novel approach to binary dynamics: application to the fifth post-Newtonian level
介绍了一种新的方法来推导引力相互作用双星系统的保守动力学。我们的方法以一种新颖的方式结合了几种理论形式：后牛顿，后闵可夫斯基，多极后闵可夫斯基，引力自力和有效的一体。我们应用我们的方法来推导第五后牛顿动力学。通过将我们的结果限制到第三个后Minkowski水平，我们首次独立地证实了Bern { \it et al.} [物理学]修订版本\ Lett. { \bf 122}，201603（2019）]。我们还为未来的第四次后闵可夫斯基计算提供了检查。我们的技术，原则上，可以扩展到更高阶的微扰理论。
Gravitational radiation reaction for compact binary systems at the fourth-and-a-half post-Newtonian order in harmonic coordinates
Laboratoire de Physique de l’Ecole Normale Supérieure, ENS, CNRS, Université PSL, Sorbonne Université, Université Paris Cité（巴黎高等师范学院物理实验室）；University of Southampton（南安普顿大学）
