Work

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

Year: 2025

Type: article

Abstract: 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.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep12(2025)088

Authors: Konstantin Alkalaev, Semyon Mandrygin

Institution: P.N. Lebedev Physical Institute of the Russian Academy of Sciences

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Foundation for the Advancement of Theoretical Physics and Mathematics

OpenAlex ID: W4417289782