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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…

高能物理 - 理论 · 物理学 2021-05-20 Enrico Herrmann , Julio Parra-Martinez , Michael S. Ruf , Mao Zeng

In this paper, we revisit the smoothness of the classical limit of inclusive observables in the formalism developed by Kosower, Maybee and O'Connell (KMOC). Building on the earlier work [1-3], we prove that the classical limit of three…

高能物理 - 理论 · 物理学 2025-11-03 Pritish Sinha

KMOC (Kosower, Maybee, and O'Connell) formalism is an approach to analyze classical scattering in gauge theories and gravity using a class of ``inclusive'' observables which can be computed solely from on-shell amplitudes…

高能物理 - 理论 · 物理学 2026-03-20 Samim Akhtar , Alok Laddha , Arkajyoti Manna , Akavoor Manu

We study observables in the scattering of classical, spinning objects using the KMOC formalism. In particular, we derive formulas to higher order in spin and one loop $\mathcal{O}(G^2)$ for the spin kick and momentum impulse. Our derivation…

高能物理 - 理论 · 物理学 2024-12-24 Juan Pablo Gatica

We calculate the scattering of two rotating objects with the linear-in-curvature spin-induced multipoles of Kerr black holes at $\mathcal{O}(G^2)$ and all orders in the spins of both objects. This is done including the complete set of…

高能物理 - 理论 · 物理学 2023-08-02 Rafael Aoude , Kays Haddad , Andreas Helset

We introduce a new coherent state expansion of the exponential representation of the S-matrix for the classical gravitational two-body problem. By combining the Kosower-Maybee-O'Connell (KMOC) formalism with the Dirac bracket structure…

高能物理 - 理论 · 物理学 2025-11-24 Francesco Alessio , Riccardo Gonzo , Canxin Shi

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…

高能物理 - 理论 · 物理学 2025-07-01 Zeno Capatti , Mao Zeng

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…

高能物理 - 理论 · 物理学 2021-10-06 Rafael Aoude , Alexander Ochirov

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…

高能物理 - 理论 · 物理学 2022-01-10 Yilber Fabian Bautista , Nils Siemonsen

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…

高能物理 - 理论 · 物理学 2023-06-08 Fernando Febres Cordero , Manfred Kraus , Guanda Lin , Michael S. Ruf , Mao Zeng

Making use of the recently-derived, all-spin, opposite-helicity Compton amplitude, we calculate the classical gravitational scattering amplitude for one spinning and one spinless object at $\mathcal{O}(G^{2})$ and all orders in spin. By…

高能物理 - 理论 · 物理学 2022-10-12 Rafael Aoude , Kays Haddad , Andreas Helset

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…

高能物理 - 理论 · 物理学 2020-01-29 Ben Maybee , Donal O'Connell , Justin Vines

We describe an efficient method for extracting the parts of $D$-dimensional loop integrals that are needed to derive observables in classical general relativity from scattering amplitudes. Our approach simplifies the soft-region method of…

高能物理 - 理论 · 物理学 2021-07-28 N. Emil J. Bjerrum-Bohr , Poul H. Damgaard , Ludovic Planté , Pierre Vanhove

We compute the gravitational impulse for two classical massive scalars in the ultrarelativistic limit to all orders in Newton's constant $G_N$ at fixed $G_N s/m b$ to $O(m^4/s^2)$. By computing the 4 and 5-point scattering amplitudes in the…

高能物理 - 理论 · 物理学 2026-05-19 Michael Saavedra

We use $\mathcal N=8$ supergravity as a toy model for understanding the dynamics of black hole binary systems via the scattering amplitudes approach. We compute the conservative part of the classical scattering angle of two extremal…

高能物理 - 理论 · 物理学 2021-01-13 Julio Parra-Martinez , Michael S. Ruf , Mao Zeng

In this article, we compute the two observables, impulse and waveform, in a black hole scattering event for the Scalar-Tensor theory of gravity with a generic scalar potential using the techniques of Worldline Quantum Field Theory. We…

高能物理 - 理论 · 物理学 2024-04-19 Arpan Bhattacharyya , Debodirna Ghosh , Saptaswa Ghosh , Sounak Pal

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…

高能物理 - 理论 · 物理学 2024-08-12 Stefano De Angelis , Riccardo Gonzo , Pavel P. Novichkov

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…

高能物理 - 理论 · 物理学 2023-12-25 Lara Bohnenblust , Harald Ita , Manfred Kraus , Johannes Schlenk

We propose two possible eikonal operators encoding the effects of classical radiation as coherent states of gravitons and show how to compute from them different classical observables. In the first proposal, only genuinely propagating…

高能物理 - 理论 · 物理学 2023-08-09 Paolo Di Vecchia , Carlo Heissenberg , Rodolfo Russo , Gabriele Veneziano

We compute the conservative and radiation-reaction contributions to classical observables in the gravitational scattering between a spinning and a spinless black hole to the fourth order in spin and third order in the gravitational…

高能物理 - 理论 · 物理学 2025-07-31 Dogan Akpinar , Fernando Febres Cordero , Manfred Kraus , Alexander Smirnov , Mao Zeng
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