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arXiv:hep-ph/9904304·v1·High Energy Physics — Phenomenology

Transcendental numbers and the topology of three-loop bubbles

S. Groote🇩🇪 · J.G. Körner🇩🇪 · A.A. Pivovarov🇩🇪

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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.

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

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