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Related papers: Resumming Scattering Amplitudes for Waveforms

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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…

High Energy Physics - Theory · Physics 2024-06-24 Donato Bini , Thibault Damour , Stefano De Angelis , Andrea Geralico , Aidan Herderschee , Radu Roiban , Fei Teng

In the two-body scattering problem in general relativity, we study the final graviton particle distribution using a perturbative approach. We compute the mean, the variance and the factorial moments of the distribution from the expectation…

High Energy Physics - Theory · Physics 2022-07-19 Ruth Britto , Riccardo Gonzo , Guy R. Jehu

We combine the observable-based formalism (KMOC), the analytic properties of the scattering amplitude, generalised unitarity and the heavy-mass expansion with a newly introduced IBP reduction for Fourier integrals, to provide an efficient…

High Energy Physics - Theory · Physics 2024-12-17 Giacomo Brunello , Stefano De Angelis

Waveforms are classical observables associated with any radiative physical process. Using scattering amplitudes, these are usually computed in a weak-field regime to some finite order in the post-Newtonian or post-Minkowskian approximation.…

High Energy Physics - Theory · Physics 2023-07-19 Tim Adamo , Andrea Cristofoli , Anton Ilderton , Sonja Klisch

We show how to compute classical wave observables using quantum scattering amplitudes. We discuss observables both with incoming and with outgoing waves. The required classical limits are naturally described by coherent states of massless…

High Energy Physics - Theory · Physics 2022-09-21 Andrea Cristofoli , Riccardo Gonzo , David A. Kosower , Donal O'Connell

We provide the analytic waveform in time domain for the scattering of two Kerr black holes at leading order in the post-Minkowskian expansion and up to fourth order in both spins. The result is obtained by the generalization of the KMOC…

High Energy Physics - Theory · Physics 2024-08-12 Stefano De Angelis , Riccardo Gonzo , Pavel P. Novichkov

We study the gravitational radiation emitted during the scattering of two spinless bodies in the post-Minkowskian Effective Field Theory approach. We derive the conserved stress-energy tensor linearly coupled to gravity and the classical…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Stavros Mougiakakos , Massimiliano Maria Riva , Filippo Vernizzi

With the aim of computing bound waveforms from scattering amplitudes, we explore gravitational two-body dynamics using the Schwinger-Dyson equations and Bethe-Salpeter recursion. We show that the tree-level scattering waveform admits a…

High Energy Physics - Theory · Physics 2024-05-10 Tim Adamo , Riccardo Gonzo , Anton Ilderton

We present a systematic diagrammatic investigation of the classical limit of observables computed from scattering amplitudes in quantum field theory through the Kosower-Maybee-O'Connell (KMOC) formalism, motivated by the study of…

High Energy Physics - Theory · Physics 2025-07-01 Zeno Capatti , Mao Zeng

We compute classical gravitational observables for the scattering of two spinless black holes in general relativity and $\mathcal N {=} 8$ supergravity in the formalism of Kosower, Maybee, and O'Connell (KMOC). We focus on the gravitational…

High Energy Physics - Theory · Physics 2021-11-03 Enrico Herrmann , Julio Parra-Martinez , Michael S. Ruf , Mao Zeng

We compute the complete potential-graviton contributions to the conservative radial action and scattering angle for two non-spinning bodies in general relativity, accurate through fifth order in Newton's constant and including second-order…

High Energy Physics - Theory · Physics 2026-02-10 Zvi Bern , Enrico Herrmann , Radu Roiban , Michael S. Ruf , Alexander V. Smirnov , Sid Smith , Mao Zeng

The frequency-domain waveform emitted by a two-body scattering process is computed in the extreme-mass-ratio limit through the fifth post-Minkowskian (PM) order (i.e., $O(G^5)$) and the fractional sixth post-Newtonian (PN) order. The…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Andrea Geralico

We compute the conservative two-body Hamiltonian of a compact binary system with a spinning black hole through $\mathcal{O}(G^3)$ to all orders in velocity, including linear and quadratic spin terms. To obtain our results we calculate the…

High Energy Physics - Theory · Physics 2023-06-08 Fernando Febres Cordero , Manfred Kraus , Guanda Lin , Michael S. Ruf , Mao Zeng

We generalise the Kosower-Maybee-O'Connell (KMOC) formalism relating classical observables and scattering amplitudes to curved backgrounds. We show how to compute the final semiclassical state for a particle moving in a curved background in…

High Energy Physics - Theory · Physics 2022-09-14 Tim Adamo , Andrea Cristofoli , Anton Ilderton

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

For a general two-body bound state in quantum mechanics, both in the stable and decaying cases, we establish a way to extract its two-body wave function in momentum space from the scattering amplitude of the constituent two particles. For…

Quantum Physics · Physics 2017-03-08 Takayasu Sekihara

We revisit the amplitude-based derivation of gravitational waveform for the scattering of two scalar black holes at subleading post-Minkowskian (PM) order. We take an eikonal-inspired approach to the two-massive-particle cut needed in the…

High Energy Physics - Theory · Physics 2024-01-22 Alessandro Georgoudis , Carlo Heissenberg , Rodolfo Russo

We study scalar-tensor gravitational theories using on-shell amplitude methods. We focus on theories with gravity coupled to a massless scalar via the Gauss-Bonnet and Chern-Simons terms. In this framework, we calculate the waveforms for…

High Energy Physics - Theory · Physics 2025-04-01 Adam Falkowski , Panagiotis Marinellis

We compute the classical tree-level five-point amplitude for the two-to-two scattering of spinning celestial objects with the emission of a graviton. Using this five-point amplitude, we then turn to the computation of the leading-order…

High Energy Physics - Theory · Physics 2024-02-20 Andreas Brandhuber , Graham R. Brown , Gang Chen , Joshua Gowdy , Gabriele Travaglini

In this thesis we present a study of the computation of classical observables in gauge theories and gravity directly from scattering amplitudes. In particular, we discuss the direct application of modern amplitude techniques in the one, and…

High Energy Physics - Theory · Physics 2022-08-02 Yilber Fabian Bautista
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