Journal of High Energy Physics

, 2019:146 | Cite as

Multi-Regge kinematics and the scattering equations

  • Claude Duhr
  • Zhengwen LiuEmail author
Open Access
Regular Article - Theoretical Physics


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.


Scattering Amplitudes Perturbative QCD 


Open Access

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Theoretical Physics Department, CERNGenevaSwitzerland
  2. 2.Center for Cosmology, Particle Physics and Phenomenology (CP3), UCLouvainLouvain-la-NeuveBelgium

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