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arXiv · 2507.01904

Multipoint conformal integrals in $D$ dimensions. Part II: Polygons and basis functions

K. B. Alkalaev·Semyon Mandrygin
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Abstract

We explicitly construct a class of multivariate generalized hypergeometric series which is conjectured in our previous paper [Alkalaev & Mandrygin 2025] to calculate multipoint one-loop parametric conformal integrals in $D$ dimensions. Our approach is based on a simple diagrammatic algorithm which systematically builds both arguments and series coefficients in terms of a convex polygon which is part of the Baxter lattice. The examples of the box, pentagon, and hexagon integrals are considered in detail.

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K. B. Alkalaev, Semyon Mandrygin. 2025-07-02. Multipoint conformal integrals in $D$ dimensions. Part II: Polygons and basis functions. https://arxiv.org/abs/2507.01904

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