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

Chicherin, Dmitry; Moult, Ian; Sokatchev, Emery; Yan, Kai; Zhu, Yunyue

doi:10.1103/PhysRevD.110.L091901

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

Journal Article · 14 November 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.L091901 · OSTI ID:2477450

; Moult, Ian;

;

; Zhu, Yunyue

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 $1 \to 4$ 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. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

OSTI ID:: 2477450

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 9 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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