Conformal four-point ladder integrals in diverse dimensions and polylogarithms
Abstract
A bstract In the paper, a family of conformal four-point ladder diagrams in arbitrary space-time dimensions is considered. We use the representation obtained via explicit calculation using the operator approach and conformal quantum mechanics to study their properties such as symmetries, loop and dimensional shift identities. In even dimensions, latter allows one to reduce the problem to the two-dimensional case, where notable factorization holds. Additionally, for a specific choice of propagator powers, we show that the representation can be written in the form of linear combinations of classical polylogarithms (with coefficients that are rational functions) and explore the structure of the resulting expressions.
Fields of Study & Subjects
Algebraic and Geometric Analysis
Mathematics and Applications
Polynomial and algebraic computation
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 4
- Publication date
- 16 April 2026
- Language
- EN