Transcendental numbers and the topology of three-loop bubbles

Abstract

We present a proof that all transcendental numbers that are needed for the calculation of the master integrals for three-loop vacuum Feynman diagrams can be obtained by calculating diagrams with an even simpler topology, the topology of spectacles.

4 pages in REVTeX, 1 PostScript figure included, submitted to Phys. Rev. Lett

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