Abstract
In this paper we define a new object, the momentum amplituhedron, which is the long sought-after positive geometry for tree-level scattering amplitudes in \( \mathcal{N} \) = 4 super Yang-Mills theory in spinor helicity space. Inspired by the construction of the ordinary amplituhedron, we introduce bosonized spinor helicity variables to represent our external kinematical data, and restrict them to a particular positive region. The momentum amplituhedron Mn,k is then the image of the positive Grassmannian via a map determined by such kinematics. The scattering amplitudes are extracted from the canonical form with logarithmic singularities on the boundaries of this geometry.
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ArXiv ePrint: 1905.04216
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Damgaard, D., Ferro, L., Lukowski, T. et al. The momentum amplituhedron. J. High Energ. Phys. 2019, 42 (2019). https://doi.org/10.1007/JHEP08(2019)042
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DOI: https://doi.org/10.1007/JHEP08(2019)042