Multipoint conformal integrals in D dimensions. Part II. Polygons and basis functions
A bstract 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.
Authors
- Konstantin Alkalaev (ORCID: https://orcid.org/0000-0003-0323-7313)
- Semyon Mandrygin (ORCID: https://orcid.org/0000-0001-5126-6392)
Institutions
- P.N. Lebedev Physical Institute of the Russian Academy of Sciences (RU)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2025-12-11
- DOI
- https://doi.org/10.1007/jhep12(2025)088
- Primary Topic
- Mathematical functions and polynomials
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Foundation for the Advancement of Theoretical Physics and Mathematics