Three-Point Energy Correlator in N=4 Supersymmetric Yang-Mills Theory.

Abstract

An analytic formula is given for the three-point energy correlator at leading order in maximally supersymmetric Yang-Mills theory (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}×Z_{2} dihedral symmetry of the event shape. With the unexplored simplicity in the perturbative structure of the three-point energy correlator, all kinematic regions including collinear, squeezed and coplanar limits are now available.