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Energy correlations in the end-point region
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The energy-energy correlation (EEC) measures the angular distribution of the energy that flows through two calorimeters separated by some relative angle in the final state created by a source. We study this observable in the limit of small and large angles when it describes the correlation between particles belonging, respectively, to the same jet and to two almost back-to-back jets. We present a new approach to resumming large logarithmically enhanced corrections in both limits that exploits the relation between the energy correlations and four-point correlation functions of conserved currents. At large angle, we derive the EEC from the behaviour of the correlation function in the limit when four operators are light-like separated in a sequential manner. At small angle, in a conformal theory, we obtain the EEC from resummation of the conformal partial wave expansion of the correlation function at short-distance separation between the calorimeters. In both cases, we obtain a concise representation of the EEC in terms of the conformal data of twist-two operators and verify it by comparing with the results of explicit calculation at next-to-next-to-leading order in maximally supersymmetric Yang-Mills theory. As a byproduct of our analysis, we predict the maximal weight part of the analogous QCD expression in the back-to-back limit.
Forward citations
Cited by 6 Pith papers
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Energy Correlators of Spinning Sources
Spinning energy correlators classify the full Euler-angle dependence of N-point energy flux, obey generalized Hofman–Maldacena positivity bounds, and their ratios to inclusive correlators in QCD are largely insensitiv...
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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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Energy-Energy Correlators at Strong Coupling
The strong-coupling EEC in planar N=4 SYM is now known through λ⁻² for p=2 and through λ⁻³ᐟ² for all half-BPS operators O_p, derived independently from worldsheet and low-energy Wilson-coefficient methods.
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Energy correlators in four-dimensional gravity
Gravitational energy correlators in four dimensions are computed at one loop, shown to be infrared-finite, and resummed in the back-to-back limit by soft-graviton exponentiation.
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Quantum Scaling in Energy Correlators Beyond the Confinement Transition
In the post-confinement regime the small-angle energy-energy correlator scales with the collision energy through the J=5 DGLAP anomalous dimension, and the light-ray OPE coefficients are moments of the dihadron fragme...
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One-Point energy correlator inside jets
A TMD factorization and NNLL resummation is derived for a one-point energy correlator inside jets, and the normalized observable mainly depends on the jet scale, with sensitivity to gluon TMDFFs.
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