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We investigate the relativistic scattering of spinning black holes using modern amplitude methods within a heavy-mass effective field theory formalism at third post-Minkowskian order. Using a systematic self-force expansion up to first…

High Energy Physics - Theory · Physics 2026-03-05 N. Emil J. Bjerrum-Bohr , Gang Chen , Konstantinos Papadimos , Yuexiang Zhang

We establish the evolution equations of the set of independent variables characterizing the 2PN rigorous conservative dynamics of a spinning compact binary, with the inclusion of the leading order spin-orbit, spin-spin and mass quadrupole -…

General Relativity and Quantum Cosmology · Physics 2010-12-09 László Árpád Gergely

We present the amplitude for classical scattering of gravitationally interacting massive scalars at third post-Minkowskian order. Our approach harnesses powerful tools from the modern amplitudes program such as generalized unitarity and the…

High Energy Physics - Theory · Physics 2019-05-29 Zvi Bern , Clifford Cheung , Radu Roiban , Chia-Hsien Shen , Mikhail P. Solon , Mao Zeng

Building upon recent progress in applying on-shell amplitude techniques to classical observables in general relativity, we propose a closed-form formula for the conservative Hamiltonian of a spinning binary system at the 1st…

High Energy Physics - Theory · Physics 2020-12-22 Ming-Zhi Chung , Yu-tin Huang , Jung-Wook Kim , Sangmin Lee

We study the binary dynamics of two Kerr black holes with arbitrary spin vectors in the presence of parity-even and parity-odd cubic deformations of gravity. We first derive the tree-level Compton amplitudes for a Kerr black hole in cubic…

High Energy Physics - Theory · Physics 2024-08-02 Andreas Brandhuber , Graham R. Brown , Paolo Pichini , Gabriele Travaglini , Pablo Vives Matasan

Using the spinning, supersymmetric Worldline Quantum Field Theory formalism we compute the momentum impulse and spin kick from a scattering of two spinning black holes or neutron stars up to quadratic order in spin at third post-Minkowskian…

High Energy Physics - Theory · Physics 2023-07-26 Gustav Uhre Jakobsen , Gustav Mogull

We propose a candidate Compton amplitude which is valid for any (integer) quantum spin and free from any spurious poles. We consider the cases of electromagnetism and gravity. We obtain such amplitudes by calculating the corresponding ones…

High Energy Physics - Theory · Physics 2024-09-24 Thales Azevedo , Daniel E. A. Matamoros , Gabriel Menezes

We establish the set of independent variables suitable to monitor the complicated evolution of the spinning compact binary during the inspiral. Our approach is valid up to the second post-Newtonian order, including leading order spin-orbit,…

General Relativity and Quantum Cosmology · Physics 2010-05-12 László Árpád Gergely

The quantum field-theoretic approach to classical observables due to Kosower, Maybee and O'Connell provides a rigorous pathway from on-shell scattering amplitudes to classical perturbation theory. In this paper, we promote this formalism to…

High Energy Physics - Theory · Physics 2021-10-06 Rafael Aoude , Alexander Ochirov

In this work we study the dynamics of spinning binary black hole systems in the strong field regime. For this purpose we extract from numerical relativity simulations the binding energy, specific orbital angular momentum, and…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Serguei Ossokine , Tim Dietrich , Evan Foley , Reza Katebi , Geoffrey Lovelace

Using the effective field theory framework for extended objects we describe the evolution of spinning compact objects in the late inspiral of the coalescence of a binary, before the plunge and merger, by including leading order corrections…

General Relativity and Quantum Cosmology · Physics 2022-01-07 Irvin Martinez , Amanda Weltman

Building on a recent paper in which we computed the canonical Hamiltonian of a spinning test particle in curved spacetime, at linear order in the particle's spin, we work out an improved effective-one-body (EOB) Hamiltonian for spinning…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Enrico Barausse , Alessandra Buonanno

We compute the rotations, during a scattering encounter, of the spins of two gravitationally interacting particles at second-order in the gravitational constant (second post-Minkowskian order). Following a strategy introduced in Phys. Rev.…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Donato Bini , Thibault Damour

We study the EFT of a spinning compact object and show that with appropriate gauge fixing, computations become amenable to worldline quantum field theory techniques. We use the resulting action to compute Compton and one-loop scattering…

High Energy Physics - Theory · Physics 2023-11-08 Maor Ben-Shahar

We compute the semi-classical potential arising from a generic theory of cubic gravity, a higher derivative theory of spin-2 particles, in the framework of modern amplitude techniques. We show that there are several interesting aspects of…

High Energy Physics - Theory · Physics 2020-01-29 William T Emond , Nathan Moynihan

We provide universal expressions for the classical piece of the amplitude given by the graviton/photon exchange between massive particles of arbitrary spin, at both tree and one loop level. In the gravitational case this leads to higher…

High Energy Physics - Theory · Physics 2021-10-20 Alfredo Guevara

The effective one-body (EOB) theory provides an innovative framework for analyzing the dynamics of binary systems, as articulated by Hamilton's equations. This paper investigates a self-consistent EOB theory specifically tailored for the…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Jiliang Jing , Sheng Long , Weike Deng , Jieci Wang

We develop a formalism for describing the most general notion of tree-level scattering amplitudes in 4d conformal higher spin theory. As conformal higher spin fields obey higher-derivative equations of motion, there are many distinct…

High Energy Physics - Theory · Physics 2018-09-13 Tim Adamo , Simon Nakach , Arkady A. Tseytlin

Building upon the worldline effective field theory (EFT) formalism for spinning bodies developed for the Post-Newtonian regime, we generalize the EFT approach to Post-Minkowskian (PM) dynamics to include rotational degrees of freedom in a…

High Energy Physics - Theory · Physics 2022-05-30 Zhengwen Liu , Rafael A. Porto , Zixin Yang

We derive the classical gravitational radiation from an aligned spin binary black hole on \textit{closed} orbits, using a dictionary built from the 5-point QFT scattering amplitude of two massive particles exchanging and emitting a…

High Energy Physics - Theory · Physics 2022-01-10 Yilber Fabian Bautista , Nils Siemonsen