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Three-Loop Contributions to the Gluonic Massive Operator Matrix Elements at General Values of N

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arxiv 1212.6823 v2 pith:2VCV6VMB submitted 2012-12-31 hep-ph hep-thmath-phmath.MP

J. Ablinger , J. Blümlein , A. De Freitas , A. Hasselhuhn , S. Klein , C. Raab , M. Round , C.Schneider
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F. Wi{ss}brock
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classification hep-phhep-thmath-phmath.MP
keywords elementsgluonicmassivematrixoperatoraspectsbenz-topologiescalculation
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Recent results on the calculation of 3-loop massive operator matrix elements in case of one and two heavy quark masses are reported. They concern the $O(n_f T_F^2 C_{F,A})$ and $O(T_F^2 C_{F,A})$ gluonic corrections, two-mass quarkonic moments, and ladder- and Benz-topologies. We also discuss technical aspects of the calculations.

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