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<p>We explicitly construct a class of multivariate generalized hypergeometric series which is conjectured in our previous paper [<CitationRef CitationID="CR1">1</CitationRef>] to calculate multipoint one-loop parametric conformal integrals in <i>D</i> 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.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月11日

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  • Konstantin Alkalaev,
  • Semyon Mandrygin

摘要

We explicitly construct a class of multivariate generalized hypergeometric series which is conjectured in our previous paper [1] 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.