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The QED four-photon amplitude has been well-studied by many authors, and on-shell is treated in many textbooks. However, a calculation with all four photons off-shell is presently still lacking, despite of the fact that this amplitude…

High Energy Physics - Theory · Physics 2023-05-24 Naser Ahmadiniaz , Cristhiam Lopez-Arcos , Misha A. Lopez-Lopez , Christian Schubert

We construct Faddeev-Kulish states in QED and perturbative quantum gravity to subleading order in the soft momentum expansion and to first order in the coupling constant, using the charge conservation formula of asymptotic symmetries…

High Energy Physics - Theory · Physics 2019-10-02 Sangmin Choi , Ratindranath Akhoury

Soft factorization has been shown to hold to sub-leading order in QED and to sub-sub-leading order in perturbative quantum gravity, with various loop and non-universal corrections that can be found. Here we show that all terms factorizing…

High Energy Physics - Theory · Physics 2021-04-06 Colby DeLisle , Jordan Wilson-Gerow , Philip Stamp

In this note we consider aspects of the current algebra interpretation of multi-soft limits of tree-level gluon scattering amplitudes in four dimensions. Building on the relation between a positive helicity gluon soft-limit and the Ward…

High Energy Physics - Theory · Physics 2017-09-13 Tristan McLoughlin , Dhritiman Nandan

We derive a new model-independent double-soft dilaton theorem, taking into account the spacetime dependence of the dilation commutator $[i Q_D,{\cal O}(x)]= (\Delta_{\cal O} + x \cdot \partial){\cal O}(x)$. The procedure restores positivity…

High Energy Physics - Lattice · Physics 2025-08-25 Roman Zwicky

The description of low-energy (``soft") gravitons using universal theorems continues to attract attention. In this paper, we consider the emission of two soft gravitons, using a previously developed formalism that describes (next-to) soft…

High Energy Physics - Theory · Physics 2026-03-03 Karan Fernandes , Feng-Li Lin , Chris D. White

We develop a formalism for computing the scattering amplitudes in maximally symmetric de Sitter spacetime with compact spatial dimensions. We describe quantum states by using the representation theory of de Sitter symmetry group and link…

High Energy Physics - Theory · Physics 2025-07-18 Tomasz R. Taylor , Bin Zhu

We propose a candidate Compton amplitude which is valid for any (integer) quantum spin and free from any spurious poles. We consider the cases of electromagnetism and gravity. We obtain such amplitudes by calculating the corresponding ones…

High Energy Physics - Theory · Physics 2024-09-24 Thales Azevedo , Daniel E. A. Matamoros , Gabriel Menezes

The quantum electrodynamical (QED) process of Compton scattering in strong magnetic fields is commonly invoked in atmospheric and inner magnetospheric models of x-ray and soft gamma-ray emission in high-field pulsars and magnetars. A major…

High Energy Astrophysical Phenomena · Physics 2015-06-22 Peter L. Gonthier , Matthew G. Baring , Matthew T. Eiles , Zorawar Wadiasingh , Caitlin A. Taylor , Catherine J. Fitch

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

In the pure scattering theory, the universality of the soft limit has been studied for a long time. In this talk we review the property of soft limit to relate an $n$-point amplitude to an $(n-1)$-point amplitude. We show how this property…

High Energy Physics - Theory · Physics 2023-03-09 Andriniaina Narindra Rasoanaivo

We apply recently developed path integral resummation methods to perturbative quantum gravity. In particular, we provide supporting evidence that eikonal graviton amplitudes factorize into hard and soft parts, and confirm a recent…

High Energy Physics - Theory · Physics 2015-03-19 Chris D. White

We examine the Regge (high energy) limit of 4-point scattering in both QCD and gravity, using recently developed techniques to systematically compute all corrections up to next-to-leading power in the exchanged momentum i.e. beyond the…

High Energy Physics - Theory · Physics 2017-02-01 A. Luna , S. Melville , S. G. Naculich , C. D. White

We discuss the low-energy behavior of the virtual Compton scattering amplitude off a spin-zero target. We first compare various methods of obtaining a low-energy expression based either on the soft-photon approximation or the use of…

Nuclear Theory · Physics 2009-10-30 H. W. Fearing , S. Scherer

We study the space and properties of global and local observables for radiation emitted in the scattering of a massive scalar field in gauge and gravitational plane-wave backgrounds, in both the quantum and classical theory. We first…

High Energy Physics - Theory · Physics 2024-03-14 Riccardo Gonzo , Anton Ilderton

We revisit the calculation of classical observables from causal response functions, following up on recent work by Caron-Huot at al. [JHEP 01 (2024) 139]. We derive a formula to compute asymptotic in-in observables from a particular soft…

High Energy Physics - Theory · Physics 2025-05-27 Shovon Biswas , Julio Parra-Martinez

In this note, it is shown that closed string graviton scattering amplitudes obey the same subleading soft limit as field theory graviton scattering amplitudes. The result is derived using a combination of recent results and methods…

High Energy Physics - Theory · Physics 2014-11-26 Burkhard U. W. Schwab

We show how to compute classical wave observables using quantum scattering amplitudes. We discuss observables both with incoming and with outgoing waves. The required classical limits are naturally described by coherent states of massless…

High Energy Physics - Theory · Physics 2022-09-21 Andrea Cristofoli , Riccardo Gonzo , David A. Kosower , Donal O'Connell

A formalism for the evaluation of the intensity of photon and gluon bremsstrahlung in QED and QCD condensed media is presented which considers general interactions beyond the Fokker-Planck/Gaussian approximation, the angular distribution of…

High Energy Physics - Phenomenology · Physics 2019-03-19 Xabier Feal

We study the gravitational radiation emitted during the scattering of two spinless bodies in the post-Minkowskian Effective Field Theory approach. We derive the conserved stress-energy tensor linearly coupled to gravity and the classical…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Stavros Mougiakakos , Massimiliano Maria Riva , Filippo Vernizzi