# Energy-Energy Correlator

Jet taggers in high-energy physics are judged mainly by accuracy, yet it has been hard to say whether their decisions track the radiation structure inside a jet. Researchers fit a Kolmogorov-Arnold Network (KAN) locally to a trained model's perturbation response, then read two-body and three-body interaction scores from the surrogate's mixed partial derivatives and rank-correlate them with the dominant contributions to two-point and three-point energy correlation functions. On JetClass, the Particle Transformer shows clear positive two-body alignment while a standard multi-head attention baseline does not; three-body alignment is weaker for both, with ParT still stronger and its error bars excluding null correlation.

Jet taggers in high-energy physics are judged mainly by accuracy, yet it has been hard to say whether their decisions track the radiation structure inside a jet. Researchers fit a Kolmogorov-Arnold Network (KAN) locally to a trained model's perturbation response, then read two-body and three-body interaction scores from the surrogate's mixed partial derivatives and rank-correlate them with the dominant contributions to two-point and three-point energy correlation functions. On JetClass, the Particle Transformer shows clear positive two-body alignment while a standard multi-head attention baseline does not; three-body alignment is weaker for both, with ParT still stronger and its error bars excluding null correlation.

The work resums the leading- and next-to-leading-power logarithms of the back-to-back energy-energy correlator in N=4 supersymmetric Yang-Mills theory through N3LL accuracy, including non-planar contributions, obtains a new next-to-leading-power function, and combines it with conformal bootstrap and strong-coupling supergravity data to construct an asymptotically constrained interpolation of the plateau height from weak to strong coupling; the calculation was implemented with a human-in-the-loop agentic workflow.

The work resums the leading- and next-to-leading-power logarithms of the back-to-back energy-energy correlator in N=4 supersymmetric Yang-Mills theory through N3LL accuracy, including non-planar contributions, obtains a new next-to-leading-power function, and combines it with conformal bootstrap and strong-coupling supergravity data to construct an asymptotically constrained interpolation of the plateau height from weak to strong coupling; the calculation was implemented with a human-in-the-loop agentic workflow.