Sudakov representation of the Cachazo-He-Yuan scattering equations formalism

Autor: Grigorios Chachamis, Diego Medrano Jiménez, Agustín Sabio Vera, Miguel Á. Vázquez-Mozo
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2018, Iss 1, Pp 1-26 (2018)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP01(2018)057
Popis: Abstract We show that the use of Sudakov variables greatly simplifies the study of the solutions to the scattering equations in the Cachazo-He-Yuan formalism. We work in the center-of-mass frame for the two incoming particles, which partially fixes the SL(2, ℂ) redundancy in the integrand defining the scattering amplitudes, the remaining freedom translates into a global shift in the azimuthal angle of the outgoing particles. Studying four- and five-particle amplitudes, we see how an appropriate choice of this phase allows for algebraic simplifications when finding solutions to the scattering equations, as well as in the expression of the scattering amplitudes in terms of the locations of the punctures in the sphere. These punctures themselves are remarkably simple functions of the Sudakov parameters.
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