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Description
Energy Correlators (EC) are the simplest IR finite observables that measure the distribution and the correlation of energy flow in a particular direction, which connect theories and experiments.
From a phenomenological aspect, they can be used as event shape or jet structures to further study properties of Quantum Chromodynamics (QCD) or even new physics. I will introduce a systematic algorithm to calculate the canonical differential equations for energy correlators at generic angle in N = 4 super Yang-Mills theory. Applying the algorithm, we obtain the canonical basis for three-point EC and the full set of master integrals for four-point EC. For four-point EC, based on differential equations, we find two elliptic curves and one genus 2 hyperelliptic curve by Picard-Fuchs operators.
