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Elliptic sector of the energy-energy correlator

The previous NNLO result contained harmonic polylogarithms and an unevaluated two-fold elliptic integral.

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Importance: notable
VerificationAuthor claimAccessible artifact / proof

AI-assisted completion of the elliptic sector of a collider correlator

Schwartz and Zhang report an analytical expression for the remaining elliptic sector of the next-to-next-to-leading-order energy-energy correlator in N = 4 super Yang–Mills theory, relating its curve to the sunrise integral and expressing the answer through iterated Eisenstein integrals.

Read original source Original paper: The hidden sunrise in the energy-energy correlatorarxiv.org

Original report: 2026-10-07

Understanding the problem

Read the background

The previous NNLO result contained harmonic polylogarithms and an unevaluated two-fold elliptic integral. This work supplies an analytical form for that remaining sector.

Why it matters

Completes a previously unevaluated sector of a substantial analytical observable and identifies useful elliptic structure.

What counts as progress

A sourced analytical result, substantive numerical advance, or useful calculation method with its physical model, approximation, baseline, and AI contribution stated.

What to watch for

  • Compare the same physical model, kinematic region, and approximation.
  • The completed calculation is in N = 4 super Yang–Mills, not a completed NNLO QCD prediction. The retrospective bootstrap uses the known answer and is not an independent validation. This recent preprint has not been audited or reproduced by AIProofWatch.
  • Track independent checks and subsequent corrections separately from importance.

Background review: 2026-10-13. Selected sources:

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