2019/12/31 by Hao Chen, M. X. Luo, Ming-Xing Luo +4 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Duality (order theory) #Feynman diagram #Gluon #High-Energy Particle Collisions Research #Jet (fluid) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Observable #Operator (biology) #Operator product expansion #Particle physics #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum chromodynamics #Quantum mechanics #Resummation #Sum rule in quantum mechanics #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1007/jhep08(2020)028
52 pages, 12 figures v2. Minor typos corrected, matches journal version
openalex publication_date 2020/08/06 · arxiv created 2020/11/06 · arxiv updated 2020/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract Energy Correlators measure the energy deposited in multiple detectors as a function of the angles between the detectors. In this paper, we analytically compute the three particle correlator in the collinear limit in QCD for quark and gluon jets, and also in N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 super Yang-Mills theory. We find an intriguing duality between the integrals for the energy correlators and infrared finite Feynman parameter integrals, which maps the angles of the correlators to dual momentum variables. In N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4, we use this duality to express our result as a rational sum of simple Feynman integrals (triangles and boxes). In QCD our result is expressed as a sum of the same transcendental functions, but with more complicated rational functions of cross ratio variables as coefficients. Our results represent the first analytic calculation of a three-prong jet substructure observable of phenomenological relevance for the LHC, revealing unexplored simplicity in the energy flow of QCD jets. They also provide valuable data for improving the understanding of the light-ray operator product expansion.