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We consider the relativistic scattering of unequal-mass scalar particles through graviton exchange in the small-angle high-energy regime. We show the self-consistency of expansion around the eikonal limit and compute the scattering…

High Energy Physics - Theory · Physics 2021-03-24 Ratindranath Akhoury , Ryo Saotome , George Sterman

Applications of effective field theory (EFT) and scattering amplitudes to gravitational problems have recently produced many unique results that advanced our understanding of the dynamics of compact binaries. Many of these results were made…

General Relativity and Quantum Cosmology · Physics 2025-11-10 Jovan Markovic , Mikhail M. Ivanov

We develop a formalism for computing the scattering amplitudes in maximally symmetric de Sitter spacetime with compact spatial dimensions. We describe quantum states by using the representation theory of de Sitter symmetry group and link…

High Energy Physics - Theory · Physics 2025-07-18 Tomasz R. Taylor , Bin Zhu

The paper discusses the applicability of WKB and Born (small perturbations) approximations in the problem of the backscattering of quantum particles and classical waves by one-dimensional smooth potentials with amplitudes small compared to…

Quantum Physics · Physics 2007-05-23 K. Yu. Bliokh , V. D. Freilikher , N. M. Makarov

Leveraging scattering information to describe binary systems in generic orbits requires identifying local- and nonlocal-in-time tail effects. We report here the derivation of the universal (non-spinning) local-in-time conservative dynamics…

High Energy Physics - Theory · Physics 2024-05-07 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

Classical subleading soft graviton theorem in four space-time dimensions determines the gravitational wave-form at late and early retarded time, generated during a scattering or explosion, in terms of the four momenta of the ingoing and…

High Energy Physics - Theory · Physics 2020-04-27 Arnab Priya Saha , Biswajit Sahoo , Ashoke Sen

We revisit the problem of the equations of motion of a system of $N$ self-interacting massive particles (without spins) in the first post-Minkowskian (1PM) approximation of general relativity. We write the equations of motion, gravitational…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Luc Blanchet , Athanassios S. Fokas

A recently introduced approach to the classical gravitational dynamics of binary systems involves intricate integrals (linked to a combination of nonlocal-in-time interactions with iterated $\frac1r$-potential scattering) which have so far…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Donato Bini , Thibault Damour , Andrea Geralico , Stefano Laporta , Pierpaolo Mastrolia

We give a partial answer to the question whether the Schrodinger equation can be derived from the Newtonian mechanics of a particle in a potential subject to a random force. We show that the fluctuations around the classical motion of a one…

Quantum Physics · Physics 2021-02-24 Can Gokler

The need to determine scattering amplitudes of few-hadron systems for arbitrary kinematics expands a broad set of subfields of modern-day nuclear and hadronic physics. In this work, we expand upon previous explorations on the use of…

High Energy Physics - Lattice · Physics 2024-07-31 Marco A. Carrillo , Raúl A. Briceño , Alexandru M. Sturzu

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

Post-exponential decay of the probability density of a quantum particle leaving a trap can be reproduced accurately, except for interference oscillations at the transition to the post-exponential regime, by means of an ensemble of classical…

Quantum Physics · Physics 2015-05-18 E. Torrontegui , J. G. Muga , J. Martorell , D. W. L. Sprung

In this paper we study the two-body gravitational scattering of massive scalars with different masses in general spacetime dimensions. We focus on the Regge limit (eikonal regime) of the resulting scattering amplitudes and discuss how to…

High Energy Physics - Theory · Physics 2019-10-02 Arnau Koemans Collado , Paolo Di Vecchia , Rodolfo Russo

The use of leading order effective field theory (EFT) to describe neutron-deuteron scattering leads to integral equations that have unusual behaviour: when only two-body interactions are included, the scattering amplitude does not approach…

Nuclear Theory · Physics 2007-05-23 B. Blankleider , J. Gegelia

We compute the conservative scattering angle of two classical charged particles at the sixth order in electromagnetic coupling, and at the fourth order in velocity, thereby going beyond the current state of the art [fifth order in coupling,…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Donato Bini , Thibault Damour

We obtain the total impulse in the scattering of non-spinning binaries in general relativity at fourth Post-Minkowskian order, i.e. ${\cal O}(G^4)$, including linear, nonlinear, and hereditary radiation-reaction effects. We derive the total…

High Energy Physics - Theory · Physics 2023-03-29 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Jakob Neef , Rafael A. Porto

We compute the potential-graviton contribution to the scattering amplitude, the radial action, and the scattering angle of two extremal black holes in N = 8 supergravity at the fifth post-Minkowskian order to next-to-leading order in a…

High Energy Physics - Theory · Physics 2025-09-23 Zvi Bern , Enrico Herrmann , Radu Roiban , Michael S. Ruf , Alexander V. Smirnov , Vladimir A. Smirnov , Mao Zeng

We study the Post-Minkowskian (PM) and Post-Newtonian (PN) expansions of the gravitational three-body effective potential. At order 2PM a formal result is given in terms of a differential operator acting on the maximal generalized cut of…

High Energy Physics - Theory · Physics 2021-03-11 Florian Loebbert , Jan Plefka , Canxin Shi , Tianheng Wang

Classical limit of multiple soft graviton theorem can be used to compute the angular power spectrum of long wavelength gravitational radiation in classical scattering provided the total energy carried away by the radiation is small compared…

High Energy Physics - Theory · Physics 2018-10-17 Alok Laddha , Ashoke Sen

We describe an approach to incorporating the physical effects of the absorption of energy by the event horizon of black holes in the scattering amplitudes based post-Minkowskian, point-particle effective description. Absorptive dynamics are…

High Energy Physics - Theory · Physics 2024-03-05 Callum R. T. Jones , Michael S. Ruf