@article{ec04e93d061944fba55e0040cc7981cd,
title = "Scattering Amplitudes and Conservative Dynamics at the Fourth Post-Minkowskian Order",
abstract = "We review recent progress using amplitudes methods to obtain new results for the conservative classical scattering of two massive black holes at order O(G4). We include contributions from both potential and radiation modes which effect the conservative dynamics through the tail effect. We compute the 2 → 2 scattering amplitudes and extract the radial action through the amplitude-action formula and derive the scattering angle. By matching we also obtain a Hamiltonian valid for arbitrary scattering trajectories.",
author = "Zvi Bern and Julio Parra-Martinez and Radu Roiban and Ruf, {Michael S.} and Shen, {Chia Hsien} and Solon, {Mikhail P.} and Mao Zeng",
note = "Funding Information: We thank Johannes Bl{\"u}mlein, Martin Bojowald, Alessandra Buonanno, Clifford Cheung, Thibault Damour, Enrico Herrmann, Mohammed Khalil, Dimitrios Kosmopoulis, David Kosower, Andr{\'e}s Luna, Andreas Maier, Philipp Maierh{\"o}fer, Aneesh Manohar, Peter Marquard, Rafael Porto, Ira Rothstein, Jan Steinhoff, Johann Usovitsch, and Justin Vines for helpful discussions. Z.B. is supported by the U.S. Department of Energy (DOE) under award number DE-SC0009937. J.P.-M. is Funding Information: supported by the U.S. Department of Energy (DOE) under award number DE-SC0011632. R.R. is supported by the U.S. Department of Energy (DOE) under award number DE-SC00019066. C.-H.S. is supported by the U.S. Department of Energy (DOE) under award number DE-SC0009919. M.Z.{\textquoteright}s work is supported by the U.K. Royal Society through Grant URF\R1\20109. We also are grateful to the Mani L. Bhaumik Institute for Theoretical Physics for support. Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0); 2022 Loops and Legs in Quantum Field Theory, LL 2022 ; Conference date: 25-04-2022 Through 30-04-2022",
year = "2022",
month = oct,
day = "20",
language = "English (US)",
volume = "416",
journal = "Proceedings of Science",
issn = "1824-8039",
publisher = "Sissa Medialab Srl",
}