Kleiss-Kuijf Relations from Momentum Amplituhedron Geometry

Understand

In recent years, it has been understood that color-ordered scattering amplitudes can be encoded as logarithmic differential forms on positive geometries.

• In particular, amplitudes in maximally supersymmetric Yang-Mills theory in spinor helicity space are governed by the momentum amplituhedron.
• Due to the group-theoretic structure underlying color decompositions, color-ordered amplitudes enjoy various identities which relate different orderings.
• In this paper, we show how the Kleiss-Kuijf relations arise from the geometry of the momentum amplituhedron.