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arXiv · 1705.05136

Three-loop massive tadpoles and polylogarithms through weight six

B. A. Kniehl·A. F. Pikelner·O. L. Veretin
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Abstract

We evaluate the three-loop massive vacuum bubble diagrams in terms of polylogarithms up to weight six. We also construct the basis of irrational constants being harmonic polylgarithms of arguments $e^{k i \pi/3}$.

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B. A. Kniehl, A. F. Pikelner, O. L. Veretin. 2017-05-15. Three-loop massive tadpoles and polylogarithms through weight six. https://doi.org/10.1007/jhep08(2017)024

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