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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

We calculate the inelastic $2\to3$ one-loop amplitude for the scattering of two point-like, spinless objects with generic masses involving the additional emission of a single graviton. We focus on the near-forward, or classical, limit. Our…

High Energy Physics - Theory · Physics 2023-12-27 Alessandro Georgoudis , Carlo Heissenberg , Ingrid Vazquez-Holm

We compute the potential-photon contributions to the classical relativistic scattering angle of two charged non-spinning bodies in electrodynamics through fifth order in the coupling. We use the scattering amplitudes framework, effective…

High Energy Physics - Theory · Physics 2023-05-17 Zvi Bern , Enrico Herrmann , Radu Roiban , Michael S. Ruf , Alexander V. Smirnov , Vladimir A. Smirnov , Mao Zeng

We study scalar-tensor gravitational theories using on-shell amplitude methods. We focus on theories with gravity coupled to a massless scalar via the Gauss-Bonnet and Chern-Simons terms. In this framework, we calculate the waveforms for…

High Energy Physics - Theory · Physics 2025-04-01 Adam Falkowski , Panagiotis Marinellis

Driven by advances in scattering amplitudes and worldline-based methods, recent years have seen significant progress in our ability to calculate gravitational two-body scattering observables. These observables effectively encapsulate the…

General Relativity and Quantum Cosmology · Physics 2024-11-21 Alessandra Buonanno , Gustav Mogull , Raj Patil , Lorenzo Pompili

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

We compute the gravitational radiation generated in the evolution of a family of close binary black hole configurations, using a combination of numerical and perturbative approximation methods. We evolve the binaries with spins, $s$,…

Astrophysics · Physics 2009-11-07 J. Baker , M. Campanelli , C. O. Lousto , R. Takahashi

We compute the classical tree-level five-point amplitude for the two-to-two scattering of spinning celestial objects with the emission of a graviton. Using this five-point amplitude, we then turn to the computation of the leading-order…

High Energy Physics - Theory · Physics 2024-02-20 Andreas Brandhuber , Graham R. Brown , Gang Chen , Joshua Gowdy , Gabriele Travaglini

For a self-gravitating particle of mass \mu in orbit around a Kerr black hole of mass M >> \mu, we compute the O(\mu/M) shift in the frequency of the innermost stable circular equatorial orbit (ISCEO) due to the conservative piece of the…

General Relativity and Quantum Cosmology · Physics 2014-10-21 Soichiro Isoyama , Leor Barack , Sam R. Dolan , Alexandre Le Tiec , Hiroyuki Nakano , Abhay G. Shah , Takahiro Tanaka , Niels Warburton

We present the first fully-nonlinear numerical study of the dynamics of highly spinning black-hole binaries. We evolve binaries from quasicircular orbits (as inferred from Post-Newtonian theory), and find that the last stages of the orbital…

General Relativity and Quantum Cosmology · Physics 2010-04-06 M. Campanelli , C. O. Lousto , Y. Zlochower

Building on the recently computed next-to-next-to-leading order (NNLO) post-Newtonian (PN) spin-orbit Hamiltonian for spinning binaries \cite{Hartung:2011te} we extend the effective-one-body (EOB) description of the dynamics of two spinning…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Alessandro Nagar

We employ the "KMOC" formalism of [1] to compute classical momentum deflections of spinning bodies with arbitrary spin orientations up to next-to-leading order (one loop). We do this in electrodynamics and gravity. The final result, valid…

High Energy Physics - Theory · Physics 2022-10-18 Gabriel Menezes , Matteo Sergola

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

In this thesis, I will study the classical scattering problem of two Kerr black holes in general relativity with novel quantum field theory techniques in the Post-Minkowskian (PM) expansion, generalizing the subleading soft theorem to the…

High Energy Physics - Theory · Physics 2024-12-04 Damiano Barcaro

We investigate the (conservative) dynamics of binary black holes using the Hamiltonian formulation of the post-Newtonian (PN) equations of motion. The Hamiltonian we use includes spin-orbit coupling, spin-spin coupling, and mass…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Michael D. Hartl , Alessandra Buonanno

We show 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. The impulse, spin kick, and…

High Energy Physics - Theory · Physics 2025-03-11 Mark Alaverdian , Zvi Bern , Dimitrios Kosmopoulos , Andres Luna , Radu Roiban , Trevor Scheopner , Fei Teng

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 compute the conservative dynamics of non-spinning binaries at fourth Post-Minkowskian order in the large-eccentricity limit, including both potential and radiation-reaction tail effects. This is achieved by obtaining the scattering angle…

High Energy Physics - Theory · Physics 2022-05-30 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

We discuss motion of a binary system around a supermassive black hole. Using Fermi-Walker transport, we construct a local inertial reference frame and set up a Newtonian binary system. Assuming a circular geodesic observer around a…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Kei-ichi Maeda , Priti Gupta , Hirotada Okawa

We revisit the amplitude-based derivation of gravitational waveform for the scattering of two scalar black holes at subleading post-Minkowskian (PM) order. We take an eikonal-inspired approach to the two-massive-particle cut needed in the…

High Energy Physics - Theory · Physics 2024-01-22 Alessandro Georgoudis , Carlo Heissenberg , Rodolfo Russo