Multi-Regge kinematics and the scattering equations
- 98 Downloads
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.
KeywordsScattering Amplitudes Perturbative QCD
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- D.B. Fairlie and D.E. Roberts, Dual Models Without Tachyons — A New Approach, unpublished Durham preprint, PRINT-72-2440, (1972), [INSPIRE].
- D.E. Roberts, Mathematical structure of dual amplitudes, Ph.D. Thesis, Durham University, U.K., (1972), [INSPIRE].
- C. Duhr, New techniques in QCD, Ph.D. Thesis, Université catholique de Louvain, Belgium, (2009), [INSPIRE].
- T.K. Petersen, Eulerian Numbers, Springer, (2015).Google Scholar