Magic identities for conformal four-point integrals

Details Magic identities for conformal four-point integrals Magic identities for conformal four-point integrals

2006-07-21

arxiv.org/abs/hep-th/0607160v3

JHEP0701:064,2007

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 12 figures. New proof included with neater discussion of contact terms. Typo corrected

Scientific paper

10.1088/1126-6708/2007/01/064

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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