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

Heslop, Paul; Tran, Vuong-Viet

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
• Public URL: https://durham-repository.worktribe.com/output/1354046
• Related Public URLs: https://arxiv.org/pdf/1803.11491