Magic identities for conformal four-point integrals

J. M. Drummond (1) , J. Henn (1) , V. A. Smirnov (2) , E. Sokatchev (1)

1 LAPTH - Laboratoire d'Annecy-le-Vieux de Physique Théorique
2 Nuclear Physics Institute

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

J. M. Drummond, J. Henn, V. A. Smirnov, E. Sokatchev. Magic identities for conformal four-point integrals. 2006. ⟨hal-00116873⟩