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In this paper we define absorptive Compton amplitudes, which captures the absorption factor for waves of spin-weight-$s$ scattering in black hole perturbation theory. At the leading order, in the $G M \omega$ expansion, such amplitudes are…

High Energy Physics - Theory · Physics 2025-01-23 Yilber Fabian Bautista , Yu-Tin Huang , Jung-Wook Kim

It has been suggested that amplitudes for quantum higher-spin massive particles exchanging gravitons lead, via a classical limit, to results for scattering of spinning black holes in general relativity, when the massive particles are in a…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Nils Siemonsen , Justin Vines

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 develop a general formalism for computing classical observables for relativistic scattering of spinning particles, directly from on-shell amplitudes. We then apply this formalism to minimally coupled Einstein-gravity amplitudes for the…

High Energy Physics - Theory · Physics 2020-01-29 Ben Maybee , Donal O'Connell , Justin Vines

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 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 introduce a novel bootstrap method for classical Compton scattering amplitudes involving two massless gluon/graviton particles and two arbitrary-spin infinite-mass particles in a heavy-mass effective field theory context. Using a…

High Energy Physics - Theory · Physics 2023-07-12 N. E. J. Bjerrum-Bohr , Gang Chen , Marcos Skowronek

We provide a new efficient diagrammatic tool, in the context of the scattering equations, for computation of covariant $D$-dimensional tree-level $n$-point amplitudes with pairs of spinning massive particles using compact exponential…

High Energy Physics - Theory · Physics 2021-05-12 N. Emil J. Bjerrum-Bohr , Taro V. Brown , Humberto Gomez

We compute the far-field time-domain waveform of the gravitational waves produced in the scattering of two spinning massive objects. The results include linear-in-spin ($S$) couplings and first-order gravitational corrections ($G^3$), and…

High Energy Physics - Theory · Physics 2023-12-25 Lara Bohnenblust , Harald Ita , Manfred Kraus , Johannes Schlenk

The scattering of massless waves of helicity $|h|=0,\frac{1}{2},1$ in Schwarzschild and Kerr backgrounds is revisited in the long-wavelenght regime. Using a novel description of such backgrounds in terms of gravitating massive particles, we…

High Energy Physics - Theory · Physics 2023-02-22 Yilber Fabian Bautista , Alfredo Guevara , Chris Kavanagh , Justin Vines

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 next-to-leading order term in the scattering waveform of uncharged black holes in classical general relativity and of half-BPS black holes in $\mathcal{N}=8$ supergravity. We propose criteria, generalizing explicit…

High Energy Physics - Theory · Physics 2023-12-25 Aidan Herderschee , Radu Roiban , Fei Teng

We study gravitational shock waves using scattering amplitude techniques. After first reviewing the derivation in General Relativity as an ultrarelativistic boost of a Schwarzschild solution, we provide an alternative derivation by…

High Energy Physics - Theory · Physics 2020-12-03 Andrea Cristofoli

We describe a systematic framework for finding the conservative potential of compact binary systems with spin based on scattering amplitudes of particles of arbitrary spin and effective field theory. An arbitrary-spin formalism is generally…

High Energy Physics - Theory · Physics 2021-09-22 Zvi Bern , Andres Luna , Radu Roiban , Chia-Hsien Shen , Mao Zeng

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

In this paper, we explore the physics of electromagnetically and gravitationally coupled massive higher spin states from the on-shell point of view. Starting with the three-point amplitude, we focus on the simplest amplitude which is…

High Energy Physics - Theory · Physics 2019-08-23 Ming-Zhi Chung , Yu-tin Huang , Jung-Wook Kim , Sangmin Lee

We utilize generalized unitarity and recursion relations combined with effective field theory(EFT) techniques to compute spin dependent interaction terms for inspiralling binary systems in the post newtonian(PN) approximation. Using these…

High Energy Physics - Theory · Physics 2015-06-23 Varun Vaidya

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 utilize various computational techniques in flat and curved backgrounds to calculate the classical gravitational Compton amplitude up to the second post-Minkowskian order. Our novel result supports the use of worldline quantum field…

High Energy Physics - Theory · Physics 2025-11-03 N. Emil J. Bjerrum-Bohr , Gang Chen , Carl Jordan Eriksen , Nabha Shah

We compute the vacuum metric generated by a generic rotating object in arbitrary dimensions up to third post-Minkowskian order by computing the classical contribution of scattering amplitudes describing the graviton emission by massive…

High Energy Physics - Theory · Physics 2024-07-01 Claudio Gambino , Paolo Pani , Fabio Riccioni