One-loop five-point gluing analytically

B. Eden; M. Gottwald

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arXiv · 2606.13665

One-loop five-point gluing analytically

B. Eden·M. Gottwald

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Abstract

The one-loop five-point function of stress tensor multiplets in N=4 super Yang-Mills theory in four dimensions has previously been studied by integrability methods. The finite-size viz gluing corrections defining it were originally matched on the known field theory result - establishing many features of the formalism on the way - and later to a good extent also analytically evaluated. For the first time, we present a full analytic evaluation of all processes. The starting point is the re-summation of series of residues into Euler integrals. These are directly integrated where possible or otherwise recovered from intersection theory for generalised hypergeometric functions.

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B. Eden, M. Gottwald. 2026-06-11. One-loop five-point gluing analytically. https://arxiv.org/abs/2606.13665

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