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Mathematical Aspects of Scattering Amplitudes [PDF]

Journeys Through the Precision Frontier: Amplitudes for Colliders, 2015
In these lectures we discuss some of the mathematical structures that appear when computing multi-loop Feynman integrals. We focus on a specific class of special functions, the so-called multiple polylogarithms, and discuss introduce their Hopf algebra structure.
openaire   +2 more sources

Splitting CEGM amplitudes

Journal of High Energy Physics
The CEGM formalism offers a general framework for scattering amplitudes, which rests on Grassmannians, moduli spaces and tropical geometry. The physical implications of this generalization are still to be understood.
Bruno Giménez Umbert, Bernd Sturmfels
doaj   +1 more source

Gravitational Equivalence Theorem and Double-Copy for Kaluza-Klein Graviton Scattering Amplitudes. [PDF]

Research (Wash D C), 2022
Hang YF, He HJ.
europepmc   +1 more source

Projectivity of planar zeros in field and string theory amplitudes

Journal of High Energy Physics, 2017
We study the projective properties of planar zeros of tree-level scattering amplitudes in various theories. Whereas for pure scalar field theories we find that the planar zeros of the five-point amplitude do not enjoy projective invariance, coupling ...
Diego Medrano Jiménez, Agustín Sabio Vera, Miguel Á. Vázquez-Mozo   +2 more
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QCD scattering amplitudes and prescriptive unitarity

Journal of High Energy Physics
We present a systematic framework for the maximally-transcendental part of planar QCD scattering amplitudes and perform the first bootstrap computation of six-gluon MHV amplitudes in massless QCD at the symbol level.
Sérgio Carrôlo, Dmitry Chicherin, Johannes Henn, Qinglin Yang, Yang Zhang   +4 more
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A Monte Carlo approach to the 4D scattering equations

Journal of High Energy Physics, 2018
The scattering equation formalism is a general framework for calculation of amplitudes in theories of massless particles. We provide a detailed introduction to the 4D scattering equation framework accessible to non-experts, outline current difficulties ...
Joseph A. Farrow
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Serendipitous syzygies of scattering amplitudes

Physical Review D
We study linear relations between color-ordered all-plus amplitudes at one loop in Yang-Mills theory. We show that on general grounds, there are ( n − 1 ) ! /
David A. Kosower, Sebastian Pögel
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On triple-cut of scattering amplitudes

Physics Letters B, 2007
It is analysed the triple-cut of one-loop amplitudes in dimensional regularisation within spinor-helicity representation. The triple-cut is defined as a difference of two double-cuts with the same particle content, and a same propagator carrying, respectively, causal and anti-causal prescription in each of the two cuts. That turns out into an effective
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Five-dimensional spinor helicity for all masses and spins

Journal of High Energy Physics
We develop a spinor helicity formalism for five-dimensional scattering amplitudes of any mass and spin configuration. While five-dimensional spinor helicity variables have been previously studied in the context of N $$ \mathcal{N} $$ = 2, 4 ...
Andrzej Pokraka, Smita Rajan, Lecheng Ren, Anastasia Volovich, W. Wayne Zhao   +4 more
doaj   +1 more source

Eikonal amplitudes on the celestial sphere

Journal of High Energy Physics
Celestial scattering amplitudes for massless particles are Mellin transforms of momentum-space scattering amplitudes with respect to the energies of the external particles, and behave as conformal correlators on the celestial sphere.
Tim Adamo, Wei Bu, Piotr Tourkine, Bin Zhu   +3 more
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