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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…

High Energy Physics - Theory · Physics 2026-03-20 Samim Akhtar , Alok Laddha , Arkajyoti Manna , Akavoor Manu

In this note, we investigate the implications of classical soft theorems for the formalism developed by Kosower, Maybee and O'Connell (KMOC) to derive classical observables in gauge theory and gravity from scattering amplitudes. In…

High Energy Physics - Theory · Physics 2023-01-13 Yilber Fabian Bautista , Alok Laddha

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…

High Energy Physics - Theory · Physics 2025-11-03 Pritish Sinha

We apply the recently developed formalism by Kosower, Maybee and O'Connell (KMO) to analyse the soft electromagnetic and soft gravitational radiation emitted by particles without spin in Four and higher dimensions. We use this formalism in…

High Energy Physics - Theory · Physics 2021-10-27 Manu A , Debodirna Ghosh , Alok Laddha , Athira P.

In this short note, we analyse low energy electromagnetic radiation for spinning particles using the KMOC formalism and the quantum soft theorems. In particular, we study low energy electromagnetic radiation emitted by the so-called…

High Energy Physics - Theory · Physics 2022-10-17 Manu A. , Debodirna Ghosh

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…

High Energy Physics - Theory · Physics 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…

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

It has been shown that in larger than four space-time dimensions, soft factors that relate the amplitudes with a soft photon or graviton to amplitudes without the soft particle also determine the low frequency radiative part of the…

High Energy Physics - Theory · Physics 2018-11-14 Alok Laddha , Ashoke Sen

The KMOC (Kosower-Maybee-O'Connell) formalism establishes a bridge between quantum scattering amplitudes and classical observables in gravitational systems. In this work, we show how the weak-field limits of the four classical black hole…

High Energy Physics - Theory · Physics 2026-05-27 Jacobo Hernández C.

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 revisit the calculation of classical observables from causal response functions, following up on recent work by Caron-Huot at al. [JHEP 01 (2024) 139]. We derive a formula to compute asymptotic in-in observables from a particular soft…

High Energy Physics - Theory · Physics 2025-05-27 Shovon Biswas , Julio Parra-Martinez

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

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 develop a formalism to compute non-perturbative 5-point scattering amplitudes and apply it to gravitational waveforms in the two-body problem for arbitrary trajectories. Drawing inspiration from Feshbach's projector formalism in nuclear…

High Energy Physics - Theory · Physics 2026-04-21 Katsuki Aoki , Andrea Cristofoli

On-shell constructibility is redefining our understanding of perturbative quantum field theory. The tree-level S-matrix of constructible theories is completely determined by a set of recurrence relations and a reduced number of scattering…

High Energy Physics - Theory · Physics 2019-10-16 Raúl Carballo-Rubio , Francesco Di Filippo , Nathan Moynihan

Soft cosmology is an extension of standard cosmology allowing for a scale-dependent equation-of-state (EoS) parameter in the dark sectors, which is one of the properties of soft materials in condensed-matter physics, that may arise either…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-12 Emmanuel N. Saridakis , Weiqiang Yang , Supriya Pan , Fotios K. Anagnostopoulos , Spyros Basilakos

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…

High Energy Physics - Theory · Physics 2024-12-24 Juan Pablo Gatica

Light front formalism for composite systems is presented. Derivation of equations for bound state and scattering problems are given. Methods of constructing of elastic form factors and scattering amplitudes of composite particles are…

High Energy Physics - Theory · Physics 2008-11-26 V. R. Garsevanishvili , A. A. Khelashvili , Z. R. Menteshashvili , M. S. Nioradze

We employ the "KMOC" formalism of [1] to compute classical momentum deflections of spinning bodies with arbitrary spin orientations up to next-to-leading order (one loop). We do this in electrodynamics and gravity. The final result, valid…

High Energy Physics - Theory · Physics 2022-10-18 Gabriel Menezes , Matteo Sergola

An on-shell formalism for the computation of S-matrices of SYM theories in three spacetime dimensions is presented. The framework is a generalization of the spinor-helicity formalism in four dimensions. The formalism is applied to establish…

High Energy Physics - Theory · Physics 2011-08-03 Abhishek Agarwal , Donovan Young
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