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In black hole perturbation theory, the difficulty in separating electromagnetic and gravitational sectors of the coupled Teukolsky equations has prevented a general treatment of scattering processes involving both electromagnetic waves and…

High Energy Physics - Theory · Physics 2026-01-12 Qinyuan Zheng

We consider the covariant proposal for the gravitational Compton amplitude for a Kerr black hole. Employing the covariant three- and four-point Compton amplitudes, we assemble the classical one-loop integrand on the maximal cut at all…

High Energy Physics - Theory · Physics 2024-12-30 Gang Chen , Tianheng Wang

The coupling between matter fields and gravity, encoded in the geometry of spacetime, can be realized in various ways. Most commonly, a minimal coupling principle is employed, meaning that all matter fields, except spinors, couple only to…

General Relativity and Quantum Cosmology · Physics 2026-02-11 Sebastian Bahamonde , Jorge Maggiolo , Christian Pfeifer

We show that at 1PN all four-dimensional black hole solutions in asymptotically flat spacetimes can be derived from leading singularities involving minimally coupled three-particle amplitudes. Furthermore, we show that the rotating…

High Energy Physics - Theory · Physics 2020-01-29 Nathan Moynihan

We propose that the dynamics of Kerr black holes is strongly constrained by the principle of gauge symmetry. We initiate the construction of EFTs for Kerr black holes of any integer quantum spin s using Stueckelberg fields, and show that…

High Energy Physics - Theory · Physics 2023-12-08 Lucile Cangemi , Marco Chiodaroli , Henrik Johansson , Alexander Ochirov , Paolo Pichini , Evgeny Skvortsov

We develop a novel amplitude bootstrap technique manifestly free of unphysical poles for classically spinning particles interacting with gravitons utilizing only the double-copy and physical factorization limits. Combined with…

High Energy Physics - Theory · Physics 2024-04-29 N. Emil J. Bjerrum-Bohr , Gang Chen , Marcos Skowronek

Scattering of two Kerr Black Holes emitting gravitational waves can be captured by an effective theory of a massive higher-spin field interacting with the gravitational field. While other compact objects should activate a multitude of…

High Energy Physics - Theory · Physics 2025-08-05 Evgeny Skvortsov , Mirian Tsulaia

We develop an on-shell approach to study black hole mergers. Since, asymptotically, the initial and final states can be described by point-like spinning particles, we propose a massive three-point amplitude for the merger of two…

High Energy Physics - Theory · Physics 2024-12-24 Katsuki Aoki , Andrea Cristofoli , Yu-tin Huang

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

Motivated by recent progress in the high-energy description of gravitational scattering, we develop a systematic Regge-theory framework for $2\to2+n$ amplitudes describing the scattering of two massive particles with $n$ graviton emissions,…

High Energy Physics - Theory · Physics 2026-01-30 Francesco Alessio , Vittorio Del Duca , Riccardo Gonzo , Emanuele Rosi

A non-trivial $\mathcal{S}$-matrix generally implies a production of entanglement: starting with an incoming pure state the scattering generally returns an outgoing state with non-vanishing entanglement entropy. It is then interesting to…

High Energy Physics - Theory · Physics 2020-11-04 Rafael Aoude , Ming-Zhi Chung , Yu-tin Huang , Camila S. Machado , Man-Kuan Tam

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 study the low-energy effective theories of photons and gravitons, matching them at one loop to a UV completion with a massive spinning matter particle. The matter is allowed to have non-minimal electromagnetic and gravitational…

High Energy Physics - Theory · Physics 2024-08-08 Edoardo Alviani , Adam Falkowski

Free massive higher spin fields in weak background gravitational fields are discussed. Contrary to the spin one case, higher spin fields should have nontrivial non-minimal couplings to the curvature. A precise analysis is given for the spin…

High Energy Physics - Theory · Physics 2016-07-01 Masafumi Fukuma , Hikaru Kawai , Katsuta Sakai , Junji Yamamoto

On-shell, analytic S-matrix elements in massless theories are constructed from a finite set of primitive three-point amplitudes, which are fixed by Poincare invariance up to an overall numerical constant. We classify \emph{all} such…

High Energy Physics - Theory · Physics 2014-11-05 David A. McGady , Laurentiu Rodina

Building on recent approaches, we develop an effective field theory for the interaction of spinning particles modeling Kerr black holes within the gravitational self-force expansion. To incorporate dimensional regularization into this…

High Energy Physics - Theory · Physics 2025-10-09 Dogan Akpinar , Vittorio del Duca , Riccardo Gonzo

We propose an on-shell description of spinning binary systems in gravitational theories where compact objects display scalar hair. The framework involves matter particles of arbitrary spin which, in addition to the minimal coupling to…

High Energy Physics - Theory · Physics 2025-05-12 Adam Falkowski , Panagiotis Marinellis

In this paper we compute the spin-dependent terms of the gravitational potential for general spinning bodies at the leading Newton's constant $G$ and to all orders in spin. We utilize the on-shell approach, which extracts the classical…

High Energy Physics - Theory · Physics 2020-09-29 Ming-Zhi Chung , Yu-tin Huang , Jung-Wook Kim

We obtain spinning boson star solutions and hairy black holes with synchronised hair in the Einstein-Klein-Gordon model, wherein the scalar field is massive, complex and with a non-minimal coupling to the Ricci scalar. The existence of…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Carlos A. R. Herdeiro , Eugen Radu

In this work, we write down an analytic expression of electromagnetic tree-level Compton amplitude for a completely symmetric traceless (bosonic) higher spin particle in any dimension. Our analysis is restricted to the three-point function,…

High Energy Physics - Theory · Physics 2025-04-10 Aakash Kumar , Arnab Rudra , Manav Shah , Rahul Shaw