All-Order Amplitudes at any Multiplicity in the Multi-Regge Limit

Del Duca, V.; Druc, S.; Drummond, J. M.; Duhr, C.; Dulat, F.; Marzucca, R.; Papathanasiou, G.; Verbeek, B.

Abstract

We propose an all-loop expression for scattering amplitudes in planar N = 4 super Yang-Mills theory in multi-Regge kinematics valid for all multiplicities, all helicity configurations, and arbitrary logarithmic accuracy. Our expression is arrived at from comparing explicit perturbative results with general expectations from the integrable structure of a closely related collinear limit. A crucial ingredient of the analysis is an all-order extension for the central emission vertex that we recently computed at next-to-leading logarithmic accuracy. As an application, we use our all-order formula to prove that all amplitudes in this theory in multi-Regge kinematics are single-valued multiple polylogarithms of uniform transcendental weight.

Citation

Del Duca, V., Druc, S., Drummond, J., Duhr, C., Dulat, F., Marzucca, R., Papathanasiou, G., & Verbeek, B. (2020). All-Order Amplitudes at any Multiplicity in the Multi-Regge Limit. Physical Review Letters, 124(16), Article 161602. https://doi.org/10.1103/physrevlett.124.161602

• Journal Article Type: Article
• Acceptance Date: Mar 25, 2020
• Online Publication Date: Apr 20, 2020
• Publication Date: Apr 24, 2020
• Deposit Date: May 6, 2020
• Publicly Available Date: May 6, 2020
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 124
• Issue: 16
• Article Number: 161602
• DOI: https://doi.org/10.1103/physrevlett.124.161602
• Public URL: https://durham-repository.worktribe.com/output/1264822