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Three Point Energy Correlators in the Collinear Limit: Symmetries, Dualities and Analytic Results
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abstract
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 $\mathcal{N}=4$ 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 $\mathcal{N}=4$, 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.
Forward citations
Cited by 11 Pith papers
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Cluster Algebras, Cube Roots, and Energy Correlators in $\mathcal{N}=4$ SYM
Infinite mutation sequences of the cluster quiver Q3 generate the six cubic algebraic symbol letters of the near-collinear four-point energy correlator in N=4 super-Yang-Mills theory.
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Energy Correlators Resolving Proton Spin
The work establishes a correspondence between spin-dependent energy correlators and polarized TMDs/NECs using SCET, yielding N3LL/N2LL predictions for correlation patterns in current and target fragmentation regions.
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Bootstrapping form factor squared in ${\cal N}=4$ super-Yang-Mills
A bootstrap using soft and collinear limits fixes the tree-level form factor squared in planar N=4 SYM up to N=6, unifying loop integrands from two-point master diagrams.
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Energy-Energy Correlator at Hadron Colliders: Celestial Blocks and Singularities
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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Holographic Energy Correlators for Soft Walls
Linear shockwave solutions exist in any warped holographic background, and the resulting two-point energy correlator differs between linear-dilaton and quadratic-dilaton confining models.
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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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Jet-by-jet energy correlators as stochastic probes of the parton-to-hadron transition
Per-jet fluctuations of binned energy-energy correlators show a smaller covariance trace and larger neighboring-shell correlations at hadron level than at parton level in Pythia and Herwig across all tested configurations.
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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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Regge trajectories, detectors, and distributions in the critical ${\rm O}(N)$ model
In the critical O(N) model, renormalizing detector and distribution light-ray operators at leading order in 1/N yields Regge intercepts, the leading-twist splitting function, and a BFKL-type anomalous spin.
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Giving wake to energy-energy correlators: Hydrodynamic response on the celestial sphere
The medium response contribution to the jet energy-energy correlator scales as dSigma/dtheta proportional to theta at small angles and can qualitatively reproduce the large-angle enhancement seen in PbPb-to-pp EEC mea...
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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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