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arXiv · 2203.04349

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

Kai Yan·Xiaoyuan Zhang
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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.

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Kai Yan, Xiaoyuan Zhang. 2022-03-08. Three-point energy correlator in $\mathcal{N}=4$ super Yang-Mills Theory. https://doi.org/10.1103/physrevlett.129.021602

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