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We compute the mass and current quadrupole tidal corrections to the four-momentum and energy flux radiated during the scattering of two spinless bodies, at leading order in $G$ and at all orders in the velocities, using the effective field…

High Energy Physics - Theory · Physics 2022-10-26 Stavros Mougiakakos , Massimiliano Maria Riva , Filippo Vernizzi

We calculate graviton multi-point amplitudes in an anti-de Sitter black brane background for higher-derivative gravity of arbitrary order in numbers of derivatives. The calculations are performed using tensor graviton modes in a particular…

High Energy Physics - Theory · Physics 2018-04-11 M. M. W. Shawa , A. J. M. Medved

Quantum higher-spin theory applied to Compton amplitudes has proven to be surprisingly useful for elucidating Kerr black hole dynamics. Here we apply the framework to compute scattering amplitudes and observables for a binary system of two…

High Energy Physics - Theory · Physics 2025-06-27 Lara Bohnenblust , Lucile Cangemi , Henrik Johansson , Paolo Pichini

The multidimensional space-time with $(D-4)$ compact extra space dimensions and SM fields confined on four-dimensional brane is considered. The elastic scattering amplitude of two particles interacting by gravitational forces is calculated…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Kisselev

The double copy relates scattering amplitudes in gauge and gravity theories, and has also been extended to classical solutions. In this paper, we study solutions in three spacetime dimensions, where the double copy may be expected to be…

High Energy Physics - Theory · Physics 2019-05-02 Mariana Carrillo González , Brandon Melcher , Kenneth Ratliff , Scott Watson , Chris D. White

We compute the classical one-loop gravitational Compton amplitude describing the scattering of a graviton off a massive spinning compact object at the second post-Minkowskian order, including terms through the quartic order in spin. Our…

High Energy Physics - Theory · Physics 2026-02-06 Dogan Akpinar

Gravitational redshift imprints a slight asymmetry in the observed clustering of galaxies, producing odd multipoles (e.g.\ the dipole) in the cross-correlation function. But there are other sources of asymmetry which must also be considered…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-18 Lawrence Dam , Camille Bonvin

The field equations of $f(R)$ gravity are rewritten in the form of obvious wave equations with the stress-energy pseudotensor of the matter fields and the gravitational field as its source under the de Donder condition. The method of…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Bofeng Wu , Chao-Guang Huang

This paper investigates the non-linear self-interaction of quadrupole gravitational waves generated by an isolated system. The vacuum Einstein field equations are integrated in the region exterior to the system by means of a…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Luc Blanchet

The complete tree-level S-matrix of four dimensional ${\cal N}=4$ super Yang-Mills and ${\cal N} = 8$ supergravity has compact forms as integrals over the moduli space of certain rational maps. In this note we derive formulas for amplitudes…

High Energy Physics - Theory · Physics 2015-06-16 Freddy Cachazo , Song He , Ellis Ye Yuan

Using the NRGR effective field theory formalism we calculate the remaining source multipole moments necessary to obtain the spin contributions to the gravitational wave amplitude to 2.5 Post-Newtonian (PN) order. We also reproduce the tail…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Rafael A. Porto , Andreas Ross , Ira Z. Rothstein

Recently two of the authors presented a spinorial extension of the scattering equations, the `polarized scattering equations' that incorporates spinor polarization data. These led to new worldsheet amplitude formulae for a variety of gauge,…

High Energy Physics - Theory · Physics 2020-12-02 Giulia Albonico , Yvonne Geyer , Lionel Mason

We investigate the gravitational radiation emitted by an isolated system for gravity theories with Lagrange density $f(R) = R + aR^2$. As a formal result we obtain leading order corrections to the quadrupole formula in General Relativity.…

General Relativity and Quantum Cosmology · Physics 2011-08-08 Joachim Näf , Philippe Jetzer

The calculation of scattering amplitudes at higher orders in perturbation theory has reached a high degree of maturity. However, their usage to produce physical predictions within Monte Carlo programs is often precluded by the slow…

High Energy Physics - Phenomenology · Physics 2025-09-24 Víctor Bresó , Gudrun Heinrich , Vitaly Magerya , Anton Olsson

A binary system, composed of a compact object orbiting around a massive central body, will emit gravitational waves which will depend on the central body's spacetime geometry. We expect that the gravitational wave observables will somehow…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Thomas P. Sotiriou , Theocharis A. Apostolatos

An attempt to evade the strict uniqueness of consistent interactions involving spin-2 particles is made by modifying the Noether procedure from the outset. A vector field is introduced, coupled to a graviton already at the level of…

High Energy Physics - Phenomenology · Physics 2026-03-26 Carlo Marzo

Recent explorations on how to construct a double copy of massive gauge fields have shown that, while any amplitude can be written in a form consistent with colour-kinematics duality, the double copy is generically unphysical. In this paper,…

High Energy Physics - Theory · Physics 2021-07-13 Mariana Carrillo González , Arshia Momeni , Justinas Rumbutis

A viable weak-field and slow-motion approximation method is constructed in $F(R,R_{\mu\nu}R^{\mu\nu}, R_{\mu\nu\rho\sigma}R^{\mu\nu\rho\sigma})$ gravity, a general class of fourth-order theories of gravity. By applying this method, the…

General Relativity and Quantum Cosmology · Physics 2024-05-01 Bofeng Wu , En-Wei Liang

We calculate the scattering of two rotating objects with the linear-in-curvature spin-induced multipoles of Kerr black holes at $\mathcal{O}(G^2)$ and all orders in the spins of both objects. This is done including the complete set of…

High Energy Physics - Theory · Physics 2023-08-02 Rafael Aoude , Kays Haddad , Andreas Helset

It has recently been argued that there may be a nontrivial four-dimensional limit of the higher-dimensional Gauss--Bonnet and Lovelock interactions and that this might provide a loophole allowing for new four-dimensional gravitational…

High Energy Physics - Theory · Physics 2020-07-15 James Bonifacio , Kurt Hinterbichler , Laura A. Johnson