Three-point energy correlator in $\mathcal{N}=4$ super Yang-Mills Theory

Abstract

An analytic formula is given for the three-point energy correlator (EEEC) at leading order (LO) in maximally supersymmetric Yang-Mills theory ($\mathcal{N}=4$ sYM). This is the first analytic calculation of a three-parameter event shape observable, which provides valuable data for various studies ranging from conformal field theories to jet substructure. The associated class of functions define a new type of single-valued polylogarithms characterized by 16 alphabet letters, which manifest a $D_6\times Z_2$ dihedral symmetry of the event shape. With the unexplored simplicity in the perturbative structure of EEEC, all kinematic regions including collinear, squeezed and coplanar limits are now available.

9 pages, 4 figures; typo in eq(4) corrected

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• Analytic Computation of Three-point Energy Correlator in QCD
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• Three-point Energy Correlators in Hadronic Higgs Decays
• Shedding Light on Hadronization by Quarkonium Energy Correlator
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• Single-valued representation of unpolarized and polarized semi-inclusive deep inelastic scattering at next-to-next-to-leading order
• Designing Observables for Quantum Interference in Jets at Subleading Color