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Related papers: Eikonal methods applied to gravitational scatterin…

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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

We study the factorization of soft and collinear singularities in dimensionally-regularized fixed-angle scattering amplitudes in massless gauge theories. Our factorization is based on replacing the hard massless partons by light-like Wilson…

High Energy Physics - Phenomenology · Physics 2009-03-19 Einan Gardi , Lorenzo Magnea

The all-loop resummation of SU$(N)$ gauge theory amplitudes is known to factorize into an IR-divergent (soft and collinear) factor and a finite (hard) piece. The divergent factor is universal, whereas the hard function is a…

High Energy Physics - Theory · Physics 2021-07-14 Hernán A. González , Francisco Rojas

We study the EFT of a spinning compact object and show that with appropriate gauge fixing, computations become amenable to worldline quantum field theory techniques. We use the resulting action to compute Compton and one-loop scattering…

High Energy Physics - Theory · Physics 2023-11-08 Maor Ben-Shahar

We consider elastic quark-quark scattering at high energy with fixed momentum transfer $t$ and perform factorization of soft-gluon exchanges into a vacuum expectation value of Wilson lines. Taking into account nonperturbative corrections…

High Energy Physics - Phenomenology · Physics 2009-10-28 Irina A. Korchemskaya

We introduce a novel bootstrap method for classical Compton scattering amplitudes involving two massless gluon/graviton particles and two arbitrary-spin infinite-mass particles in a heavy-mass effective field theory context. Using a…

High Energy Physics - Theory · Physics 2023-07-12 N. E. J. Bjerrum-Bohr , Gang Chen , Marcos Skowronek

I demonstrate that the amplitude of the high-energy scattering can be factorized in a convolution of the contributions due to fast and slow fields. The fast and slow fields interact by means of Wilson-line operators -- infinite gauge…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ian Balitsky

We present a new expression of the scattering amplitude, valid for spherical absorbing objects, which leads to an improved version of the eikonal method outside the diffraction region. Limitations of this method are discussed and numerical…

High Energy Physics - Phenomenology · Physics 2015-06-25 C. Bourrely , P. Chiappetta , T. Lemaire

We examine diffractive proton-proton scattering. Using a functional integral approach we derive the scattering amplitudes, which are governed by the expectation value of lightlike Wegner-Wilson loops. This expectation value is then…

High Energy Physics - Phenomenology · Physics 2009-10-31 Otto Nachtmann , Timo Paulus

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

Soft and collinear factorisations can be used to construct expressions for amplitudes in theories of gravity. We generalise the "half-soft" functions used previously to "soft-lifting" functions and use these to generate tree and one-loop…

High Energy Physics - Theory · Physics 2013-05-30 David C. Dunbar , James H. Ettle , Warren B. Perkins

We discuss recursion relations for scattering amplitudes with massive particles of any spin. They are derived via a two-parameter shift of momenta, combining a BCFW-type spinor shift with the soft limit of a massless particle involved in…

High Energy Physics - Theory · Physics 2023-01-11 Adam Falkowski , Camila S. Machado

A central feature of scattering amplitudes in gravity or gauge theory is the existence of a variety of energetically soft theorems which put constraints on the amplitudes. Celestial amplitudes which are obtained from momentum-space…

High Energy Physics - Theory · Physics 2020-10-28 Andrea Puhm

We recompute the functions describing the collinear factorization of one-loop amplitudes using the unitarity-based method. We present the results in a form suitable for use as an ingredient in two-loop calculations. We also present a…

High Energy Physics - Phenomenology · Physics 2008-11-26 David A. Kosower , Peter Uwer

We propose a method to analyze infrared contributions to non-inclusive processes in QCD. We use the one-loop Sudakov form factor as a working example. Borrowing techniques from renormalization theory, we construct counterterms for the…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. C. Collins , F. Hautmann

We develop a general formalism for computing classical observables for relativistic scattering of spinning particles, directly from on-shell amplitudes. We then apply this formalism to minimally coupled Einstein-gravity amplitudes for the…

High Energy Physics - Theory · Physics 2020-01-29 Ben Maybee , Donal O'Connell , Justin Vines

We derive a factorization theorem that allows for resummation of small-$x$ logarithms by exploiting Glauber operators in the soft collinear effective field theory. Our analysis is carried out for the hadronic tensor $W^{\mu\nu}$ in deep…

High Energy Physics - Phenomenology · Physics 2023-03-27 Duff Neill , Aditya Pathak , Iain Stewart

We consider gravitational massive scalar-scalar scattering from unitarity and demonstrate how intermediate soft graviton behavior and the concept of extracting classical physics from localization of integrands on velocity cuts devise an…

High Energy Physics - Theory · Physics 2022-03-30 N. E. J. Bjerrum-Bohr , L. Plante , P. Vanhove

The technology required for eikonal scattering amplitude calculations in Matrix theory is developed. Using the entire supersymmetric completion of the v^4/r^7 Matrix theory potential we compute the graviton-graviton scattering amplitude and…

High Energy Physics - Theory · Physics 2009-10-31 Jan C. Plefka , Marco Serone , Andrew K. Waldron

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
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