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We generalize the semiclassical treatment of graviton radiation to gravitational scattering at very large energies $\sqrt{s}\gg m_P$ and finite scattering angles $\Theta_s$, so as to approach the collapse regime of impact parameters $b…

High Energy Physics - Theory · Physics 2017-10-02 Dimitri Colferai , Marcello Ciafaloni

We revisit analytical methods for constraining the nonperturbative $S$-matrix of unitary, relativistic, gapped theories in $d \geq 3$ spacetime dimensions. We assume extended analyticity of the two-to-two scattering amplitude and use it…

High Energy Physics - Theory · Physics 2020-06-16 Miguel Correia , Amit Sever , Alexander Zhiboedov

The technology required for eikonal scattering amplitude calculations in Matrix theory is developed. Using the entire supersymmetric completion of the v^4/r^7 Matrix theory potential we compute the graviton-graviton scattering amplitude and…

High Energy Physics - Theory · Physics 2009-10-31 Jan C. Plefka , Marco Serone , Andrew K. Waldron

In this paper we consider a high energy scattering of free scalar particles through a gravitational field. The one particle t-channel amplitude of the scattering in this limit is governed by reggeized graviton. Therefore, we discuss an…

High Energy Physics - Theory · Physics 2024-09-23 Sergey Bondarenko

We study Maxwell theory, in the presence of charged scalar sources, near the black hole horizon in a partial wave basis. We derive the gauge field configuration that solves Maxwell equations in the near-horizon region of a Schwarzschild…

High Energy Physics - Theory · Physics 2024-02-22 Fabiano Feleppa , Nava Gaddam , Nico Groenenboom

The solution of the scattering problem based on the Lippmann-Schwinger equation requires in many cases a discretization of the spectrum in the continuum which does not respect the unitary equivalence of the S-matrix on the finite grid. We…

Nuclear Theory · Physics 2019-11-27 María Gómez-Rocha , Enrique Ruiz Arriola

In a plane-wave matrix model we discuss a two-body scattering of gravitons in the SO(3) symmetric space. In this case the graviton solutions are point-like in contrast to the scattering in the SO(6) symmetric space where spherical membranes…

High Energy Physics - Theory · Physics 2009-11-11 Hyeonjoon Shin , Kentaroh Yoshida

We probe the gravitational interaction of two black holes in the strong-field regime by computing the scattering angle $\chi$ of hyperbolic-like, close binary-black-hole encounters as a function of the impact parameter. The fully…

General Relativity and Quantum Cosmology · Physics 2014-07-18 Thibault Damour , Federico Guercilena , Ian Hinder , Seth Hopper , Alessandro Nagar , Luciano Rezzolla

Within the framework of the Zakharov-Schulman approach, in close analogy with the methods of quantum field theory, the classical scattering matrix for the simplest process of interaction between hard and soft excitations in a quark-gluon…

High Energy Physics - Theory · Physics 2025-11-10 Yu. A. Markov , M. A. Markova , D. M. Gitman , N. Yu. Markov

Resonance phenomena are central to many quantum systems, where resonant states are typically characterized by pole singularities of the S-matrix. In this work, we employ the complex scaling method (CSM) in conjunction with exact WKB…

Quantum Physics · Physics 2026-05-29 Okuto Morikawa , Shoya Ogawa

We explore the impact of black hole spins on the dynamics of high-energy black hole collisions. We report results from numerical simulations with gamma-factors up to 2.49 and dimensionless spin parameter +0.85, +0.6, 0, -0.6, -0.85. We find…

General Relativity and Quantum Cosmology · Physics 2013-11-13 Ulrich Sperhake , Emanuele Berti , Vitor Cardoso , Frans Pretorius

In this paper, analytical solutions describing static and spherically symmetric sources in the decoupling limit of massive gravity are derived. We analyze the model parameter range and specify when a Vainshtein mechanism is possible.…

General Relativity and Quantum Cosmology · Physics 2011-11-28 Stefan Sjors , Edvard Mortsell

We study the global geometry of the energy landscape of a simple model of a self-gravitating system, the self-gravitating ring (SGR). This is done by endowing the configuration space with a metric such that the dynamical trajectories are…

Statistical Mechanics · Physics 2012-10-24 Bernardo Monechi , Lapo Casetti

We motivate through a detailed analysis of the Hawking radiation in a Schwarzschild background a scheme in accordance with quantum unitarity. In this scheme the semi-classical approximation of the unitary quantum - horizonless - black hole…

High Energy Physics - Theory · Physics 2011-01-05 Francois Englert , Philippe Spindel

We show that there is a remarkable phase in quantum gravity where gravitational scattering amplitudes mediated by virtual gravitons can be calculated explicitly in effective field theory, when the impact parameter $b$ satisfies $L_{Pl}\ll b…

High Energy Physics - Theory · Physics 2024-01-18 Nava Gaddam , Nico Groenenboom

I discuss elastic dipole-dipole scattering in QCD at high energies, with emphasis on the relation between Mueller's dipole picture and the Color Glass Condensate, and on the importance of rare fluctuations for the high-energy limit of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Edmond Iancu

A formulation of nucleon-nucleon scattering is developed in which the S-matrix, rather than an effective-field theory (EFT) action, is the fundamental object. Spacetime plays no role in this description: the S-matrix is a trajectory that…

High Energy Physics - Theory · Physics 2021-08-31 Silas R. Beane , Roland C. Farrell

This paper describes the connection between scattering matrices on conformally compact asymptotically Einstein manifolds and conformally invariant objects on their boundaries at infinity. The conformally invariant powers of the Laplacian…

Differential Geometry · Mathematics 2007-05-23 C. Robin Graham , Maciej Zworski

We study transition rates and cross sections from first principles in a spatially flat radiation dominated cosmology. We consider a model of scalar particles to study scattering and heavy particle production from pair annihilation, drawing…

High Energy Physics - Phenomenology · Physics 2021-09-03 Mudit Rai , Daniel Boyanovsky

The transition-matrix ($T$-matrix) approach provides a general formalism to study scattering problems in various areas of physics, including acoustics (scalar fields) and electromagnetics (vector fields), and is related to the theory of the…

Optics · Physics 2016-02-08 Eric C. Le Ru , Walter R. C. Somerville , Baptiste Auguié