Magic identities for conformal four-point integrals
High Energy Physics - Theory
2014-11-18 v3 High Energy Physics - Phenomenology
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.
Cite
@article{arxiv.hep-th/0607160,
title = {Magic identities for conformal four-point integrals},
author = {J. M. Drummond and J. Henn and V. A. Smirnov and E. Sokatchev},
journal= {arXiv preprint arXiv:hep-th/0607160},
year = {2014}
}
Comments
13 pages, 12 figures. New proof included with neater discussion of contact terms. Typo corrected