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We are employing a supersymmetric variant of the worldline quantum field theory (WQFT) formalism to compute the far-field momentum-space gravitational waveform emitted during the scattering of two spinning black holes at next-to-leading…

High Energy Physics - Theory · Physics 2025-06-06 Lara Bohnenblust , Harald Ita , Manfred Kraus , Johannes Schlenk

We present a new formula for the angular momentum $J^{\mu\nu}$ carried away by gravitational radiation in classical scattering. This formula, combined with the known expression for the radiated linear momentum $P^\mu$, completes the set of…

High Energy Physics - Theory · Physics 2022-10-11 Aneesh V. Manohar , Alexander K. Ridgway , Chia-Hsien Shen

The multipolar-post-Minkowskian approach to gravitational radiation is applied to the problem of the generation of waves by the compact binary inspiral. We investigate specifically the third post-Newtonian (3PN) approximation in the total…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet , Bala R. Iyer , Benoit Joguet

Using the gravitational potential and source multipole moments bilinear in the spins, first computed to next-to-leading order (NLO) in the post-Newtonian (PN) expansion within the effective field theory (EFT) framework, we complete here the…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Gihyuk Cho , Brian Pardo , Rafael A. Porto

We compute the radiation reacted momentum impulse $\Delta p_i^\mu$, spin kick $\Delta S_i^\mu$, and scattering angle $\theta$ between two scattered spinning massive bodies (black holes or neutron stars) using the $\mathcal{N}=1$…

High Energy Physics - Theory · Physics 2023-08-23 Gustav Uhre Jakobsen , Gustav Mogull , Jan Plefka , Benjamin Sauer

We derive the gravitational radiation-reaction (RR) force in the harmonic coordinate system at the fourth-and-a-half post-Newtonian (4.5PN) order in the case of compact binary systems. Dimensional regularization is used to treat the…

General Relativity and Quantum Cosmology · Physics 2026-05-27 Luc Blanchet , Guillaume Faye , Emeric Seraille , David Trestini

In this work the worldline quantum field theory (WQFT) approach to computing observables of the classical general relativistic two-body system is presented. Compact bodies such as black holes or neutron stars are described in an effective…

High Energy Physics - Theory · Physics 2023-08-09 Gustav Uhre Jakobsen

This is a revised version of our previous paper by the same name and preprint number. It contains various changes, two figures and new results in sect.5. We propose a new approach to four-dimensional Planckian-energy scattering in which the…

High Energy Physics - Theory · Physics 2009-10-22 M. Fabbrichesi , R. Pettorini , G. Veneziano , G. A. Vilkovisky

We compute the classical one-loop gravitational Compton amplitude describing the scattering of a graviton off a massive spinning compact object at the second post-Minkowskian order, including terms through the quartic order in spin. Our…

High Energy Physics - Theory · Physics 2026-02-06 Dogan Akpinar

We compute the total radiated momentum carried by gravitational waves during the scattering of two spinless black holes at the lowest order in Newton's constant, $\mathcal O(G^3)$, and all orders in velocity. By analytic continuation into…

High Energy Physics - Theory · Physics 2021-05-20 Enrico Herrmann , Julio Parra-Martinez , Michael S. Ruf , Mao Zeng

We present the first computation of the nonlinear gravitational memory waveform for the scattering of two compact objects in General Relativity at leading order in the post-Minkowskian expansion. We use the scattering-amplitudes-based…

High Energy Physics - Theory · Physics 2025-06-27 Alessandro Georgoudis , Vasco Goncalves , Carlo Heissenberg , Julio Parra-Martinez

For the strong gravitational wave model, an explicit transformation is obtained from a privileged coordinate system with a wave variable to a synchronous reference frame with separation of time and space variables. In a synchronous…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Konstantin E. Osetrin , Vladimir Y. Epp , Sergey V. Chervon

Part A of this article is devoted to the general investigation of the gravitational-wave emission by post-Newtonian sources. We show how the radiation field far from the source, as well as its near-zone inner gravitational field, can (in…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Luc Blanchet

We perform a Feynman diagram calculation of the two-loop scattering amplitude for gravitationally interacting massive particles in the classical limit. Conveniently, we are able to sidestep the most taxing diagrams by exploiting the…

High Energy Physics - Theory · Physics 2020-07-15 Clifford Cheung , Mikhail P. Solon

We compute the leading order contribution to radiative losses in the case of spinning binaries with aligned spins due to their spin-orbit interaction. The orbital average along hyperboliclike orbits is taken through an appropriate…

General Relativity and Quantum Cosmology · Physics 2023-09-04 Donato Bini , Andrea Geralico , Piero Rettegno

Gravitational radiation can be expressed in terms of an infinite series of radiative, symmetric trace-free (STF) multipole moments which can be connected to the behavior of the source. We consider a truncated model for gravitational…

General Relativity and Quantum Cosmology · Physics 2009-10-28 L. E. Simone , S. W. Leonard , E. Poisson , C. M. Will

Using the worldline quantum field theory approach we derive solutions to the equations of motion for spinning massive bodies up to quadratic order in spins. At leading post-Minkowskian (PM) order these trajectories are obtained in the time…

High Energy Physics - Theory · Physics 2026-02-27 Gustav Mogull , Jan Plefka , Kathrin Stoldt

The rate of gravitational-wave energy loss from inspiralling binary systems of compact objects of arbitrary mass is derived through second post-Newtonian (2PN) order $O[(Gm/rc^2)^2]$ beyond the quadrupole approximation. The result has been…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Luc Blanchet , Thibault Damour , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

In this paper we study the two-body gravitational scattering of massive scalars with different masses in general spacetime dimensions. We focus on the Regge limit (eikonal regime) of the resulting scattering amplitudes and discuss how to…

High Energy Physics - Theory · Physics 2019-10-02 Arnau Koemans Collado , Paolo Di Vecchia , Rodolfo Russo

We use Effective Field Theory techniques to derive the quadrupole-quadrupole part of the gravitational wave, obtaining a waveform in agreement with previous results found within the multipolar-post-Minkowskian method. In particular we…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Gabriel Luz Almeida , Alan Müller , Stefano Foffa , Riccardo Sturani
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