Magic identities for conformal four-point integrals
J.M. Drummond, J. Henn, V.A. Smirnov, E. Sokatchev
TL;DR
The paper introduces an iterative method to establish identities among off-shell four-point conformal integrals, supported by conformal symmetry and Mellin-Barnes techniques, with applications to complex Feynman integrals.
Contribution
It presents a novel iterative approach to derive identities for conformal four-point integrals, including proofs using Mellin-Barnes representation.
Findings
Established identities for conformal integrals like triple scalar box and tennis court.
Provided an independent proof using Mellin-Barnes representation.
Demonstrated applicability to general off-shell Feynman integrals.
Abstract
We propose an iterative procedure for constructing classes of off-shell four-point conformal integrals which are identical. The proof of the identity is based on the conformal properties of a subintegral common for the whole class. The simplest example are the so-called `triple scalar box' and `tennis court' integrals. In this case we also give an independent proof using the method of Mellin--Barnes representation which can be applied in a similar way for general off-shell Feynman integrals.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.