Transcendental numbers and the topology of three-loop bubbles
High Energy Physics - Phenomenology
2009-12-30 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.hep-ph/9904304,
title = {Transcendental numbers and the topology of three-loop bubbles},
author = {S. Groote and J. G. Körner and A. A. Pivovarov},
journal= {arXiv preprint arXiv:hep-ph/9904304},
year = {2009}
}
Comments
4 pages in REVTeX, 1 PostScript figure included, submitted to Phys. Rev. Lett