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arxiv: 1705.05136 · v3 · pith:M4T3G7SLnew · submitted 2017-05-15 · ✦ hep-ph · hep-th

Three-loop massive tadpoles and polylogarithms through weight six

classification ✦ hep-ph hep-th
keywords massivepolylogarithmsthree-loopweightargumentsbasisbubbleconstants
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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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