Sudakov representation of the Cachazo-He-Yuan scattering equations formalism View Full Text


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Article Info

DATE

2018-01

AUTHORS

Grigorios Chachamis, Diego Medrano Jiménez, Agustín Sabio Vera, Miguel Á. Vázquez-Mozo

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. More... »

PAGES

57

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/jhep01(2018)057

DOI

http://dx.doi.org/10.1007/jhep01(2018)057

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1100394806


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