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arXiv · 2512.21947

Notes on off-shell conformal integrals and correlation functions at five points

Chia-Kai Kuo·Qinglin Yang
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Abstract

We study five-point off-shell conformal integrals and the associated half-BPS correlation functions at two loops in the 't Hooft coupling expansion of maximally supersymmetric Yang-Mills theory. We construct a basis of uniform-transcendental (UT) pure integrals spanning six distinct topologies by diagonalizing leading singularities subject to conformal invariance. By fixing conformal frames, this basis can be mapped to known two-loop four-mass integral families. We then compute the integrated results by combining canonical differential equations with integration-by-parts reduction. As an application, we present symbol-level integrated results for the two-loop five-point half-BPS correlators, including both maximal and non-maximal sectors.

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Chia-Kai Kuo, Qinglin Yang. 2025-12-26. Notes on off-shell conformal integrals and correlation functions at five points. https://arxiv.org/abs/2512.21947

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