We revisit the quantum-amplitude-based derivation of the gravitational waveform emitted by the scattering of two spinless massive bodies at the third order in Newton's constant, $h \sim G+G^2+G^3$ (one-loop level), and correspondingly update its comparison with its classically-derived multipolar-post-Minkowskian counterpart. A spurious-pole-free reorganization of the one-loop five-point amplitude substantially simplifies the post-Newtonian expansion. We find complete agreement between the two results up to the fifth order in the small velocity expansion after taking into account three subtle aspects of the amplitude derivation: (1) in agreement with [arXiv:2312.07452 [hep-th]], the term quadratic in the amplitude in the observable-based formalism [JHEP 02, 137 (2019)] generates a frame rotation by half the classical scattering angle; (2) the dimensional regularization of the infrared divergences of the amplitude introduces an additional $(d-4)/(d-4)$ finite term; and (3) zero-frequency gravitons are found to contribute additional terms both at order $h \sim G^1$ and at order $h \sim G^3$ when including disconnected diagrams in the observable-based formalism.
An Effective $S$-Matrix Approach to Low-Frequency Waveforms from Black Hole Mergers
Saitama University（埼玉大学）；Columbia University（哥伦比亚大学）；National Taiwan University（台湾大学）；Kyoto University（京都大学）；National Center for Theoretical Sciences（国家理论科学中心）；The University of Tokyo（东京大学）
Gravitational Sommerfeld Effects: Formalism, Renormalization, and Perturbation to $O(G^{10})$
National Taiwan University（台湾大学）；National Center for Theoretical Sciences（国家理论科学中心）；Max Planck-IAS-NTU Center for Particle Physics, Cosmology and Geometry（马克斯·普朗克研究所-台湾大学粒子物理、宇宙学与几何中心）；Uppsala University（乌普萨拉大学）；Princeton University（普林斯顿大学）
Gravitational amplitudes in the Regge limit: waveforms, shock waves and unitarity cuts
INFN, Laboratori Nazionali di Frascati（意大利国家核物理研究所，弗拉斯cati国家实验室）；Queen Mary University of London（伦敦大学玛丽女王学院）；The University of Edinburgh（爱丁堡大学）；Sapienza Università di Roma（罗马第一大学）
Dynamical Tidal Response of Non-rotating Black Holes: Connecting the MST Formalism and Worldline EFT
Yukawa Institute for Theoretical Physics, Kyoto University（京都大学汤川理论物理研究所）；Graduate School of Science, The University of Tokyo（东京大学理学研究科）；Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study (UTIAS), The University of Tokyo（东京大学宇宙物质量子前沿研究中心（WPI），东京大学高等研究院，东京大学）；The Hakubi Center for Advanced Research, Kyoto University（京都大学博慧中心）；RIKEN iTHEMS（理化学研究所 iTHEMS）；Department of Physics, College of Humanities and Sciences, Nihon University（日本大学文理学部物理学系）；High Energy Physics Research Unit, Department of Physics, Faculty of Science, Chulalongkorn University（朱拉隆功大学理学院物理学系高能物理研究组）
Abdus Salam Centre for Theoretical Physics, Imperial College（阿卜杜斯·萨拉姆理论物理中心，帝国理工学院）；University of Southampton（南安普顿大学）；Johns Hopkins University（约翰斯·霍普金斯大学）；University of Pennsylvania（宾夕法尼亚大学）；Institut des Hautes Études Scientifiques（高等科学研究所）
