Multipoint conformal integrals in $D$ dimensions. Part II: Polygons and basis functions
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arXiv
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| Format: | Preprint |
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2025
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| author | Alkalaev, K. B. Mandrygin, Semyon |
| author_facet | Alkalaev, K. B. Mandrygin, Semyon |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_01904 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multipoint conformal integrals in $D$ dimensions. Part II: Polygons and basis functions Alkalaev, K. B. Mandrygin, Semyon High Energy Physics - Theory Mathematical Physics 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. |
| title | Multipoint conformal integrals in $D$ dimensions. Part II: Polygons and basis functions |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2507.01904 |