The two-loop Amplituhedron
The loop-Amplituhedron $\mathcal{A}^{(L)}_{n}$ is a semialgebraic set in the product of Grassmannians $\mathrm{Gr}_{\mathbb{R}}(2,4)^L$. Recently, many aspects of this geometry for the case of $L=1$ have been elucidated, such as its algebraic and face stratification, the residual arrangement and the...
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| Main Authors: | , , |
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| Format: | Journal Article |
| Language: | English |
| Published: |
15-10-2024
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| Subjects: | |
| Online Access: | Get full text |
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| Summary: | The loop-Amplituhedron $\mathcal{A}^{(L)}_{n}$ is a semialgebraic set in the
product of Grassmannians $\mathrm{Gr}_{\mathbb{R}}(2,4)^L$. Recently, many
aspects of this geometry for the case of $L=1$ have been elucidated, such as
its algebraic and face stratification, the residual arrangement and the
existence and uniqueness of the adjoint. This paper extends this analysis to
the simplest higher loop case given by the two-loop four-point Amplituhedron
$\mathcal{A}^{(2)}_4$. |
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| Bibliography: | MPP-2024-195, DESY-24-152 |
| DOI: | 10.48550/arxiv.2410.11501 |