Conformal Integrals in four dimensions
High Energy Physics - Theory
2022-08-29 v2 Algebraic Geometry
Abstract
We obtain analytic expressions of four-dimensional Euclidean -point conformal integrals for arbitrary by solving a Lauricella-like system of differential equations derived earlier. We demonstrate their relation to the GKZ A-hypergeometric systems. The conformal integrals are solutions to these expressed in terms of leg factors and infinite series in the conformal invariant cross ratios.
Cite
@article{arxiv.2109.09379,
title = {Conformal Integrals in four dimensions},
author = {Aritra Pal and Koushik Ray},
journal= {arXiv preprint arXiv:2109.09379},
year = {2022}
}
Comments
1+16 pages. LaTeX2e. Expanded version includes method of fixing constants of solutions using permutation symmetry. To appear in JHEP