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,M-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.
| Item Type: | Journal article |
|---|---|
| Faculties: | Physics |
| Subjects: | 500 Science > 530 Physics |
| ISSN: | 1029-8479 |
| Language: | English |
| Item ID: | 82701 |
| Date Deposited: | 15. Dec 2021 15:02 |
| Last Modified: | 15. Dec 2021 15:02 |
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