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Localized scattering phenomena may result in the formation of stationary matter waves originating from a compact region in physical space. Mathematically, such waves are advantageously expressed in terms of quantum sources that are…

Quantum Physics · Physics 2007-05-23 Tobias Kramer , Christian Bracher , Manfred Kleber

We consider gravitational massive scalar-scalar scattering from unitarity and demonstrate how intermediate soft graviton behavior and the concept of extracting classical physics from localization of integrands on velocity cuts devise an…

High Energy Physics - Theory · Physics 2022-03-30 N. E. J. Bjerrum-Bohr , L. Plante , P. Vanhove

The self-force expansion allows the study of deviations from geodesic motion due to the emission of radiation and its consequent back-reaction. We investigate this scheme within the on-shell framework of semiclassical scattering amplitudes…

High Energy Physics - Theory · Physics 2024-01-25 Tim Adamo , Andrea Cristofoli , Anton Ilderton , Sonja Klisch

We study the variance in the measurement of observables during scattering events, as computed using amplitudes. The classical regime, characterised by negligible uncertainty, emerges as a consequence of an infinite set of relationships…

High Energy Physics - Theory · Physics 2024-05-30 Andrea Cristofoli , Riccardo Gonzo , Nathan Moynihan , Donal O'Connell , Alasdair Ross , Matteo Sergola , Chris D. White

We study the process, within classical general relativity, in which an incident gravitational plane wave, of weak amplitude and long wavelength, scatters off a massive spinning compact object, such as a black hole or neutron star. The…

General Relativity and Quantum Cosmology · Physics 2023-01-04 M. V. S. Saketh , Justin Vines

Scattering amplitudes in quantum field theories are of widespread interest, due to a large number of theoretical and phenomenological applications. Much is known about the possible behaviour of amplitudes, that is independent of the details…

High Energy Physics - Theory · Physics 2020-02-12 Chris D. White

The recent proposal [1911.06318, 2010.07861] of implementing electric-magnetic duality rotation at the level of perturbative scattering amplitudes and its generalisation to gravitational context where usual gravitational mass is rotated to…

High Energy Physics - Theory · Physics 2021-03-08 Jung-Wook Kim , Myungbo Shim

We study the resonant divergences that occur in quantum scattering cross-sections in the presence of a strong external magnetic field. We demonstrate that all such divergences may be eliminated by introducing radiative corrections to the…

Astrophysics · Physics 2009-10-28 Carlo Graziani , Alice K. Harding , Ramin Sina

We introduce a way to compute scattering amplitudes in quantum field theory including the effects of particle production and detection. Our amplitudes are manifestly causal, by which we mean that the source and detector are always linked by…

High Energy Physics - Theory · Physics 2014-06-17 Robert Dickinson , Jeff Forshaw , Peter Millington , Brian Cox

These lecture notes explain how classical gravitational physics emerges from scattering amplitudes. We emphasize the role of different kinematic regimes in probing various aspects of bound and unbound problems, as illustrated by the…

We study the gravitational scattering of massive particles with and without spin in the effective theory of gravity at one loop level. Our focus is on long distance effects arising from nonanalytic components of the scattering amplitude and…

High Energy Physics - Phenomenology · Physics 2008-02-07 Barry R. Holstein , Andreas Ross

We study the link between classical scattering of spinning black holes and quantum amplitudes for massive spin-$s$ particles. Generic spin orientations of the black holes are considered, allowing their spins to be deflected on par with…

High Energy Physics - Theory · Physics 2019-11-20 Alfredo Guevara , Alexander Ochirov , Justin Vines

In this thesis we present a study of the computation of classical observables in gauge theories and gravity directly from scattering amplitudes. In particular, we discuss the direct application of modern amplitude techniques in the one, and…

High Energy Physics - Theory · Physics 2022-08-02 Yilber Fabian Bautista

The metric and the electromagnetic potential generated by a static, spherically symmetric charged massive object in any dimension are given by the Reissner-Nordstr\"om-Tangherlini solution. We derive the expansion of this solution up to…

High Energy Physics - Theory · Physics 2022-09-19 Simone D'Onofrio , Federica Fragomeno , Claudio Gambino , Fabio Riccioni

The fragmentation functions and scattering amplitudes are investigated in the framework of light-front perturbation theory. It is demonstrated that, the factorization property of the fragmentation functions implies the recursion relations…

High Energy Physics - Phenomenology · Physics 2015-06-16 Christian A. Cruz-Santiago , Anna M. Stasto

We perform a Feynman diagram calculation of the two-loop scattering amplitude for gravitationally interacting massive particles in the classical limit. Conveniently, we are able to sidestep the most taxing diagrams by exploiting the…

High Energy Physics - Theory · Physics 2020-07-15 Clifford Cheung , Mikhail P. Solon

We suggest a new approach for the automatic and fully numerical evaluation of one-loop scattering amplitudes in perturbative quantum field theory. We use suitably formulated dispersion relations to perform the calculation as a convolution…

High Energy Physics - Phenomenology · Physics 2008-09-29 M. Moretti , F. Piccinini , A. D. Polosa

The linear-order effects of radiation-reaction on the classical scattering of two point masses, in General Relativity, are derived by a variation-of-constants method. Explicit expressions for the radiation-reaction contributions to the…

General Relativity and Quantum Cosmology · Physics 2021-11-30 Donato Bini , Thibault Damour , Andrea Geralico

We analyze the scalar radiation emitted from a source rotating around a Schwarzschild black hole using the framework of quantum field theory at the tree level. We show that for relativistic circular orbits the emitted power is about 20% to…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Luis C. B. Crispino , Atsushi Higuchi , George E. A. Matsas

General Relativity famously predicts precession of orbital motions in the Schwarzschild metric. In this paper we show that by adding a NUT charge $N = iM$ the precession vanishes to all orders in $G$ even for rotating black holes. Moreover,…

High Energy Physics - Theory · Physics 2024-12-30 Alfredo Guevara , Uri Kol , Huy Tran