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        The Momentum Amplituhedron

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        Damgaard2019_Article_TheMomentumAmplituhedron.pdf (PDF, 369Kb)
        Author
        Damgaard, David
        Ferro, Livia
        Lukowski, Tomasz
        Parisi, Matteo
        Attention
        2299/21628
        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 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 M n,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.
        Publication date
        2019-08-08
        Published in
        Journal of High Energy Physics
        Published version
        https://doi.org/10.1007/JHEP08(2019)042
        Other links
        http://hdl.handle.net/2299/21628
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