Journal article : Letter

Deep into the amplituhedron: amplitude singularities at all loops and legs

Abstract:: In this Letter we compute a canonical set of cuts of the integrand for maximally helicity violating amplitudes in planar 𝒩=4 supersymmetric Yang-Mills theory, where all internal propagators are put on shell. These “deepest cuts” probe the most complicated Feynman diagrams and on-shell processes that can possibly contribute to the amplitude, but are also naturally associated with remarkably simple geometric facets of the amplituhedron. The recent reformulation of the amplituhedron in terms of combinatorial geometry directly in the kinematic (momentum-twistor) space plays a crucial role in understanding this geometry and determining the cut. This provides us with the first nontrivial results on scattering amplitudes in the theory valid for arbitrarily many loops and external particle multiplicities.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Arkani-Hamed, N., Langer, C., Yelleshpur Srikant, A., & Trnka, J. (2019). Deep into the amplituhedron: amplitude singularities at all loops and legs. Physical Review Letters, 122(5).

MLA Style

Arkani-Hamed, N., et al. “Deep into the Amplituhedron: Amplitude Singularities at All Loops and Legs.” Physical Review Letters, vol. 122, no. 5, American Physical Society, 2019.

Chicago Style

Arkani-Hamed, N, C Langer, A Yelleshpur Srikant, and J Trnka. 2019. “Deep into the Amplituhedron: Amplitude Singularities at All Loops and Legs.” Physical Review Letters 122 (5).
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Files:: Arkani-Hamed_et_al_2019_Deep_into_thr.pdf

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Publisher copy:: 10.1103/PhysRevLett.122.051601

Authors

+ Arkani-Hamed, N More by this author

Role:: Author

+ Langer, C More by this author

Role:: Author

+ Yelleshpur Srikant, A More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Trnka, J More by this author

Role:: Author

Publisher:: American Physical Society
Journal:: Physical Review Letters More from this journal
Volume:: 122
Issue:: 5
Article number:: 051601
Publication date:: 2019-02-07
Acceptance date:: 2018-12-12
DOI:: 10.1103/PhysRevLett.122.051601
EISSN:: 1079-7114
ISSN:: 0031-9007

Language:: English
Subtype:: Letter
Pubs id:: 1614794
Local pid:: pubs:1614794
Deposit date:: 2024-11-17

Terms of use

Copyright holder:: Arkani-Hamed et al
Copyright date:: 2019
Rights statement:: ©2019 The Authors. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3 .

Licence:: CC Attribution (CC BY)

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