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Article
Report number	arXiv:1811.06478 ; CERN-TH-2018-234 ; CP3-18-61
Title	Multi-Regge kinematics and the scattering equations
Author(s)	Duhr, Claude (CERN ; Louvain U., CP3) ; Liu, Zhengwen (Louvain U., CP3)
Publication	2019-01-17
Imprint	2018-11-15
Number of pages	40
Note	* Temporary entry * 40 pages, 1 figure
In:	JHEP 1901 (2019) 146
DOI	10.1007/JHEP01(2019)146
Subject category	hep-ph ; Particle Physics - Phenomenology ; hep-th ; Particle Physics - Theory
Abstract	We study the solutions to the scattering equations in various quasi-multi-Regge regimes where the produced particles are ordered in rapidity. We observe that in all cases the solutions to the scattering equations admit the same hierarchy as the rapidity ordering, and we conjecture that this behaviour holds independently of the number of external particles. In multi-Regge limit, where the produced particles are strongly ordered in rapidity, we determine exactly all solutions to the scattering equations that contribute to the Cachazo-He-Yuan (CHY) formula for gluon scattering in this limit. When the CHY formula is localised on these solutions, it reproduces the expected factorisation of tree-level amplitudes in terms of impact factors and Lipatov vertices. We also investigate amplitudes in various quasi-MRK. While in these cases we cannot determine the solutions to the scattering equations exactly, we show that again our conjecture combined with the CHY formula implies the factorisation of the amplitude into universal buildings blocks for which we obtain a CHY-type representation.
Copyright/License	preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © 2019-2025 The Authors (License: CC-BY-4.0)

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