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Multi-particle amplitudes from the four-point correlator in planar N = 4 SYM

Heslop, Paul; Tran, Vuong-Viet

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Authors

Vuong-Viet Tran



Abstract

A non-trivial consequence of the super-correlator/super-amplitude duality is that the integrand of the four-point correlation function of stress-tensor multiplets in planar N = 4 super Yang-Mills contains a certain combination of n-point amplitude integrands for any n. This combination is the sum of products of all helicity super-amplitudes with their corresponding helicity conjugates. The four-point correlator itself is described by a single scalar function whose loop level integrands possess a hidden permutation symmetry facilitating its computation up to ten loops. We discover that assuming Yangian symmetry and an appropriate basis of planar dual conformal integrands it is possible to disentangle the contributions from the individual amplitudes from this combination. We test this up to seven points and up to two loops. This suggests that any scattering amplitude for any n, with any helicity structure and at any loop order may be extractable from the four-point correlator.

Citation

Heslop, P., & Tran, V. (2018). Multi-particle amplitudes from the four-point correlator in planar N = 4 SYM. Journal of High Energy Physics, 2018(07), Article 068. https://doi.org/10.1007/jhep07%282018%29068

Journal Article Type Article
Acceptance Date Jul 2, 2018
Online Publication Date Jul 10, 2018
Publication Date Jul 10, 2018
Deposit Date Jul 17, 2018
Publicly Available Date Jul 25, 2018
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2018
Issue 07
Article Number 068
DOI https://doi.org/10.1007/jhep07%282018%29068
Related Public URLs https://arxiv.org/pdf/1803.11491

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Published Journal Article (535 Kb)
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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
© The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.





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