From correlation functions to event shapes in QCD

Abstract

We present a method for calculating event shapes in QCD based on correlation functions of conserved currents. The method has been previously applied to the maximally supersymmetric Yang-Mills theory, but we demonstrate that supersymmetry is not essential. As a proof of concept, we consider the simplest example of a charge-charge correlation at one loop (leading order). We compute the correlation function of four electromagnetic currents and explain in detail the steps needed to extract the event shape from it. The result is compared to the standard amplitude calculation. The explicit four-point correlation function may also be of interest for the CFT community.

34 pages, 7 figures, 3 ancillary files

References in corpus (29)

• Conformal collider physics: Energy and charge correlations
• Magic identities for conformal four-point integrals
• Analyticity in Spin in Conformal Theories
• The Uses of Conformal Symmetry in QCD
• Massive Loop Amplitudes from Unitarity
• Power corrections to event shapes and factorization
• Phenomenology of event shapes at hadron colliders
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• Jet production in the CoLoRFulNNLO method: event shapes in electron-positron collisions
• The Collinear Limit of the Energy-Energy Correlator
• Three-Loop Four-Point Correlator in N=4 SYM
• From correlation functions to scattering amplitudes
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• From correlation functions to event shapes
• Jets and Quantum Field Theory
• Event shapes in N=4 super-Yang-Mills theory
• Energy-energy correlations in N=4 SYM
• The Energy-Energy Correlation at Next-to-Leading Order in QCD, Analytically
• The three-loop cusp anomalous dimension in QCD and its supersymmetric extensions
• Energy flow in QCD and event shape functions
• Energy-energy correlations at next-to-next-to-leading order
• Energy correlations in the end-point region
• Five-loop contributions to low-N non-singlet anomalous dimensions in QCD
• Power Corrections and Nonlocal Operators
• On the four-point function of the stress-energy tensors in a CFT
• The Energy-Energy Correlation Function Revisited
• Conformal symmetry of QCD in $d$-dimensions
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• Evaluating four-loop conformal Feynman integrals by D-dimensional differential equations

Cited by in corpus (13)

• Analyzing N-point Energy Correlators Inside Jets with CMS Open Data
• Quantum Interference in Jet Substructure from Spinning Gluons
• Extending Precision Perturbative QCD with Track Functions
• Spinning Gluons from the QCD Light-Ray OPE
• Celestial Blocks and Transverse Spin in the Three-Point Energy Correlator
• The Energy-Energy Correlation in the back-to-back limit at N${}^3$LO and N${}^3$LL${}^{\prime }$
• Renormalization Group Flows for Track Function Moments
• Conformal Colliders Meet the LHC
• Energy-energy correlation in hadronic Higgs decays: analytic results and phenomenology at NLO
• Nonperturbative Effects in Energy Correlators: From Characterizing Confinement Transition to Improving ${\alpha }_s$ Extraction
• Quantum Computing for Energy Correlators
• Shedding Light on Hadronization by Quarkonium Energy Correlator
• Probing cold nuclear matter with energy correlators