Transcendental numbers and the topology of three-loop bubbles

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1103/PhysRevD.60.061701

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.

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