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  4-particle Amplituhedron at 3-loop and its Mondrian Diagrammatic Implication

Rao, J. (2018). 4-particle Amplituhedron at 3-loop and its Mondrian Diagrammatic Implication. Journal of high energy physics: JHEP, 2018(06): 038. doi:10.1007/JHEP06(2018)038.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0000-BA7C-4 Version Permalink: https://hdl.handle.net/21.11116/0000-0002-F9C4-8
Genre: Journal Article

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 Creators:
Rao, Junjie1, Author           
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: This article provides a direct calculation of the 4-particle amplituhedron at 3-loop level, by introducing a set of practical tricks. After delicately rearranging each piece by 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 N=4 SYM to all loop orders, as a subsequent work will show.

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 Dates: 2017-12-282018
 Publication Status: Issued
 Pages: 32 pages, 3 figures, 1 appendix
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1712.09990
URI: http://arxiv.org/abs/1712.09990
DOI: 10.1007/JHEP06(2018)038
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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2018 (06) Sequence Number: 038 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: https://pure.mpg.de/cone/journals/resource/111021927548002