Three-Point Energy Correlator in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> 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.

Topics & Concepts