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Modern Summation Methods and the Computation of 2- and 3-loop Feynman Diagrams
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By symbolic summation methods based on difference fields we present a general strategy that transforms definite multi-sums, e.g., in terms of hypergeometric terms and harmonic sums, to indefinite nested sums and products. We succeeded in this task with all our concrete calculations of 2--loop and 3--loop massive single scale Feynman diagrams with local operator insertion.
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Cited by 1 Pith paper
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The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements
The authors recompute the T_F-proportional pieces of the polarized three-loop QCD anomalous dimensions using massive operator matrix elements and find full agreement with the published 2014 results.
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