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The Collinear Limit of the Four-Point Energy Correlator in $\mathcal{N} = 4$ Super Yang-Mills Theory
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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.
Forward citations
Cited by 8 Pith papers
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Cluster Algebras, Cube Roots, and Energy Correlators in $\mathcal{N}=4$ SYM
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Bootstrapping form factor squared in ${\cal N}=4$ super-Yang-Mills
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Differential Equations for Energy Correlators in Any Angle
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First analytic leading-order calculation of the full-angle energy-energy correlator in hadron collisions, with celestial block decomposition and Regge-limit factorization.
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The Three-Point Energy Correlator in the Coplanar Limit
A new tau_p projection makes the coplanar limit of the three-point energy correlator a TMD-factorized trijet observable, resummed to N3LL, the first trijet event shape at this order.
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Dissecting Parton Showers with Multi-Point Energy Correlators
Projections of four-point energy correlators cleanly separate spin from kinematic azimuthal correlations inside jets; spin effects are subdominant in accessible LHC kinematics.
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Energy Correlators: A Journey From Theory to Experiment
A review of energy correlators and their role in QCD, collider experiments, and formal quantum field theory.
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Towards factorization of jet observables in dense media : An EFT approach
A review of the SCET plus Glauber open quantum system framework for factorizing medium-modified jet observables, using projected nu-point energy correlators as the worked example.
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