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Magic identities for conformal four-point integrals

J. M. Drummond, J. Henn, V. A. Smirnov, E. Sokatchev

hep-tharXiv:hep-th/0607160

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.

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