English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We show that the use of Sudakov variables greatly simplifies the study of thesolutions to the scattering equations in the Cachazo-He-Yuan formalism. We workin the center-of-mass frame for the two incoming particles, which partiallyfixes the SL(2,C) redundancy in the integrand defining the scatteringamplitudes, the remaining freedom translates into a global shift in theazimuthal angle of the outgoing particles. Studying four- and five-particleamplitudes, we see how an appropriate choice of this phase allows for algebraicsimplifications when finding solutions to the scattering equations, as well asin the expression of the scattering amplitudes in terms of the locations of thepunctures in the sphere. These punctures themselves are remarkably simplefunctions of the Sudakov parameters.

Sudakov Representation of the Cachazo-He-Yuan Scattering Equations Formalism