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  • Letter
  • Open Access

Collinear limit of the four-point energy correlator in N=4 supersymmetric Yang-Mills theory

Dmitry Chicherin1, Ian Moult2, Emery Sokatchev1, Kai Yan3,4, and Yunyue Zhu3

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Phys. Rev. D 110, L091901 – Published 14 November, 2024

DOI: https://doi.org/10.1103/PhysRevD.110.L091901

Abstract

We present a compact formula, expressed in terms of classical polylogarithms up to weight three, for the leading order four-point energy correlator in maximally supersymmetric Yang-Mills theory, in the limit where the four detectors are collinear. This formula is derived by combining a simplified, manifestly dual conformal invariant form of the 1→4 splitting function obtained from the square of the tree-level five-particle form factor of stress-tensor multiplet operators, with a novel integration-by-parts algorithm operating directly on Feynman parameter integrals. Our results provide valuable data for exploring the structure of physical observables in perturbation theory, and for calculations of jet substructure observables in quantum chromodynamics.

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Phys. Rev. D 110, L091901– Published 14 November, 2024
  • Received 2 February 2024
  • Accepted 16 October 2024
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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.

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