Abstract
This article provides a direct calculation of the 4-particle amplituhedron at 3-loop order, by introducing a set of practical tricks. After delicately rearranging each piece of this calculation, we find a suggestive connection between positivity conditions and Mondrian diagrams, which will be quantitatively defined. Such a pattern can be generalized for all Mondrian diagrams among all those contribute to the 4-particle integrand of planar \( \mathcal{N}=4 \) SYM to all loop orders, as a subsequent work 1712.09994 will show.
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ArXiv ePrint: 1712.09990
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Rao, J. 4-particle amplituhedron at 3-loop and its Mondrian diagrammatic implication. J. High Energ. Phys. 2018, 38 (2018). https://doi.org/10.1007/JHEP06(2018)038
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DOI: https://doi.org/10.1007/JHEP06(2018)038