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We evaluate the three-loop massive vacuum bubble diagrams in terms of polylogarithms up to weight six.
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A. I. Davydychev and M. Yu. Kalmykov, Some remarks on the epsilon expansion of dimensionally regulated Feynman diagrams , Nucl. Phys. Proc. Suppl. 89
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M. Steinhauser, MATAD: A Program package for the computation of MAssive TADpoles , Comput. Phys. Commun. 134
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A. I. Davydychev and M. Yu. Kalmykov, New results for the epsilon expansion of certain one, two and three loop Feynman diagrams , Nucl. Phys. B605
2001
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M. Faisst, J. H. Kuhn, T. Seidensticker and O. Veretin, Three loop top quark contributions to the rho parameter , Nucl. Phys. B665
2003
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A. I. Davydychev and M. Yu. Kalmykov, Massive Feynman diagrams and inverse binomial sums , Nucl. Phys. B699
2004
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S. Weinzierl, Expansion around half integer values, binomial sums and inverse binomial sums , J. Math. Phys. 45
2004
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M. Czakon, The Four-loop QCD beta-function and anomalous dimensions , Nucl. Phys. B710
2005
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M. Yu. Kalmykov, About higher order epsilon-expansion of some massive two- and three-loop master-integrals , Nucl. Phys. B718
2005
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2013
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