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Related papers: Second-order Post-Minkowskian scattering in arbitr…

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We describe the computation of post-Minkowskian Hamiltonians in General Relativity from scattering amplitudes. Using a relativistic Lippmann-Schwinger equation, we relate perturbative amplitudes of massive scalars coupled to gravity to the…

High Energy Physics - Theory · Physics 2019-10-23 Andrea Cristofoli , N. E. J. Bjerrum-Bohr , Poul H. Damgaard , Pierre Vanhove

We continue to investigate correspondences between, on the one hand, scattering amplitudes for massive higher-spin particles and gravitons in appropriate quantum-to-classical limits, and on the other hand, classical gravitational…

High Energy Physics - Theory · Physics 2023-06-08 Yilber Fabian Bautista , Alfredo Guevara , Chris Kavanagh , Justin Vines

We compare numerical self-force results and analytical fourth-order post-Minkowskian (PM) calculations for hyperbolic-type scattering of a point-like particle carrying a scalar charge $Q$ off a Schwarzschild black hole, showing a remarkably…

We review the description of classical gravitational scatterings of two compact objects by means of the eikonal framework. This encodes via scattering amplitudes both the motion of the bodies and the gravitational-wave signals that such…

General Relativity and Quantum Cosmology · Physics 2025-02-07 Carlo Heissenberg , Rodolfo Russo

Following a recent proposal to describe inelastic eikonal scattering processes in terms of gravitationally dressed elastic eikonal amplitudes, we motivate a collinear double graviton dressing and investigate its properties. This is derived…

High Energy Physics - Theory · Physics 2025-04-16 Karan Fernandes , Feng-Li Lin

We investigate the scattering phenomena in two dimensions produced by a general finite-range nonseparable potential. This situation can appear either in a Cartesian geometry or in a heterostructure with cylindrical symmetry. Increasing the…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 P. N. Racec , E. R. Racec , H. Neidhardt

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…

High Energy Physics - Theory · Physics 2022-01-10 Yilber Fabian Bautista , Nils Siemonsen

We discuss the ultra-relativistic gravitational scattering of two massive particles at two-loop (3PM) level. We find that in this limit the real part of the eikonal, determining the deflection angle, is universal for gravitational theories…

High Energy Physics - Theory · Physics 2020-12-30 Paolo Di Vecchia , Carlo Heissenberg , Rodolfo Russo , Gabriele Veneziano

We derive curvature counterterms in two-dimensional gravity coupled to conformal matter up to infinite order. By construction the higher-order action is equivalent to a finite first-order theory with auxiliary scalar. Due to this…

High Energy Physics - Theory · Physics 2009-10-22 Thomas T. Burwick

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 introduce a covariant Multipole Expansion for the scattering of a massive particle emitting photons or gravitons in $D$ dimensions. We find that these amplitudes exhibit very powerful features such as universality, soft exponentiation,…

High Energy Physics - Theory · Physics 2019-06-17 Yilber Fabian Bautista , Alfredo Guevara

Asymptotic behavior of the scattering amplitude for two scalar particles by scalar, vector and tensor exchanges at high energy and fixed momentum transfers is reconsidered in quantum field theory. In the framework of the quasi-potential…

High Energy Physics - Theory · Physics 2008-05-02 Nguyen Suan Han , Nguyen Nhu Xuan

Starting with on-shell amplitudes compatible with the scattering of Kerr black holes, we produce the gravitational waveform and memory effect including spin at their leading post-Minkowskian orders to all orders in the spins of both…

High Energy Physics - Theory · Physics 2023-11-01 Rafael Aoude , Kays Haddad , Carlo Heissenberg , Andreas Helset

In a previous Letter, we showed that physical scattering observables for compact spinning objects in general relativity can depend on additional degrees of freedom in the spin tensor beyond those described by the spin vector alone. In this…

High Energy Physics - Theory · Physics 2025-12-22 Mark Alaverdian , Zvi Bern , Dimitrios Kosmopoulos , Andres Luna , Radu Roiban , Trevor Scheopner , Fei Teng

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

As recent work continues to demonstrate, the study of relativistic scattering processes leads to valuable insights and computational tools applicable to the relativistic bound-orbit two-body problem. This is particularly relevant in the…

General Relativity and Quantum Cosmology · Physics 2021-09-14 M. V. S. Saketh , Justin Vines , Jan Steinhoff , Alessandra Buonanno

The scattering matrix which describes low-energy, non-relativistic scattering of spin-1/2 fermions interacting via finite-range potentials can be obtained from a geometric action principle in which space and time do not appear explicitly…

Quantum Physics · Physics 2022-04-13 Silas R. Beane , Roland C. Farrell

The need for more and more accurate gravitational wave templates requires taking into account all possible contributions to the emission of gravitational radiation from a binary system. Therefore, working within a…

General Relativity and Quantum Cosmology · Physics 2022-03-17 Donato Bini , Andrea Geralico

The frequency-domain waveform emitted by a two-body scattering process is computed in the extreme-mass-ratio limit through the fifth post-Minkowskian (PM) order (i.e., $O(G^5)$) and the fractional sixth post-Newtonian (PN) order. The…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Andrea Geralico

Using the worldline quantum field theory approach we derive solutions to the equations of motion for spinning massive bodies up to quadratic order in spins. At leading post-Minkowskian (PM) order these trajectories are obtained in the time…

High Energy Physics - Theory · Physics 2026-02-27 Gustav Mogull , Jan Plefka , Kathrin Stoldt