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We analyze the off-shell scattering amplitudes in the framework of the light-front perturbation theory. It is shown that the previously derived recursion relation between tree level off-shell amplitudes in this formalism actually resums…

High Energy Physics - Phenomenology · Physics 2015-06-24 C. Cruz-Santiago , P. Kotko , A. Stasto

These notes give a concise introduction to General Relativity at the advanced undergraduate level, starting from the weak field limit and gravitational waves, then introducing curved manifolds and Riemannian geometry. The nonlinear…

General Relativity and Quantum Cosmology · Physics 2026-04-21 James M. Cline

We study the compatibility of recursive techniques with the classical limit of scattering amplitudes through the construction of the classical Compton amplitude for general spinning compact objects. This is done using BCFW recursion on…

High Energy Physics - Theory · Physics 2023-06-07 Kays Haddad

Global cosmic strings are generically predicted in particle physics beyond the Standard Model, e.g., a post-inflationary global $U(1)$ symmetry breaking which may associate with axion-like dark matter. We demonstrate that although…

High Energy Physics - Phenomenology · Physics 2020-09-11 Chia-Feng Chang , Yanou Cui

This thesis deals with the systematic treatment of quantum-mechanical systems in post-Newtonian gravitational fields. Starting from clearly spelled-out assumptions, employing a framework of geometric background structures defining the…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Philip K. Schwartz

This article reviews the recent progress in twistor approaches to Wilson loops, amplitudes and their duality for N=4 super Yang-Mills. Wilson loops and amplitudes are derived from first principles using the twistor action for maximally…

High Energy Physics - Theory · Physics 2015-05-27 Tim Adamo , Mathew Bullimore , Lionel Mason , David Skinner

We present a systematic framework for computing frequency-domain gravitational waveforms from relativistic binary scattering in different asymptotic regimes. The method yields a controlled series expansion that can in principle be extended…

High Energy Physics - Theory · Physics 2025-11-03 Giacomo Brunello , Vsevolod Chestnov , Giulio Crisanti , Mathieu Giroux , Sid Smith

General linear electrodynamics allow for an arbitrary linear constitutive relation between the field strength two-form and induction two-form density if crucial hyperbolicity and energy conditions are satisfied, which render the theory…

High Energy Physics - Theory · Physics 2011-05-10 Sergio Rivera , Frederic P. Schuller

In this paper we compute the spin-dependent terms of the gravitational potential for general spinning bodies at the leading Newton's constant $G$ and to all orders in spin. We utilize the on-shell approach, which extracts the classical…

High Energy Physics - Theory · Physics 2020-09-29 Ming-Zhi Chung , Yu-tin Huang , Jung-Wook Kim

We revisit dispersive bounds on Wilson coefficients of scalar effective field theories (EFT) coupled to gravity in various spacetime dimensions, by computing the contributions from graviton loops to the corresponding sum rules at low…

High Energy Physics - Theory · Physics 2025-05-20 Cyuan-Han Chang , Julio Parra-Martinez

The interaction of classical gravitational waves (GW) with matter is studied within a quantum mechanical framework. The classical equations of motion in the long wave-length limit is quantized and a Schroedinger equation for the interaction…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. D. Speliotopoulos

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

Classical subleading soft graviton theorem in four space-time dimensions determines the gravitational wave-form at late and early retarded time, generated during a scattering or explosion, in terms of the four momenta of the ingoing and…

High Energy Physics - Theory · Physics 2020-04-27 Arnab Priya Saha , Biswajit Sahoo , Ashoke Sen

We describe progress applying the \textit{Worldline Formalism} of quantum field theory to the fermion propagator dressed by $N$-photons to study multi-linear Compton scattering processes, explaining how this approach -- whose calculational…

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 investigate graviton radiation in gravitational scattering at small impact parameters $b<R\equiv 2G\sqrt{s}$ and extreme energies $s\gg M_P^2$, a regime in which classical collapse is thought to occur, and thus radiation may be…

High Energy Physics - Theory · Physics 2017-12-20 Marcello Ciafaloni , Dimitri Colferai

We investigate the gravitational scattering of a spinning probe mass in a Kerr background using the worldline quantum field theory (WQFT) approach. This corresponds to the leading term (0SF) in the gravitational self-force expansion for the…

High Energy Physics - Theory · Physics 2025-07-14 Jitze Hoogeveen , Gustav Uhre Jakobsen , Jan Plefka

The effective electroweak Hamiltonian in the gradient-flow formalism is constructed for the current-current operators through next-to-next-to-leading order QCD. The results are presented for two common choices of the operator basis. This…

High Energy Physics - Lattice · Physics 2023-03-14 Robert V. Harlander , Fabian Lange

We consider the relativistic scattering of unequal-mass scalar particles through graviton exchange in the small-angle high-energy regime. We show the self-consistency of expansion around the eikonal limit and compute the scattering…

High Energy Physics - Theory · Physics 2021-03-24 Ratindranath Akhoury , Ryo Saotome , George Sterman

In the framework of the debate on high-frequency gravitational waves (GWs), after a review of GWs in standard General Relativity, which is due for completness, the possibility of merging such a traditional analysis with the Hyperspace…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-15 Christian Corda , Giorgio Fontana , Gloria Garcia Cuadrado