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

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.

12 pages, Proc. Loops and Legs in Quantum Field Theory - 11th DESY Workshop on Elementary Particle Physics, April 15-20, 2012, Wernigerode, Germany

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Cited by in corpus (3)

• Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms
• Modern Summation Methods for Loop Integrals in Quantum Field Theory: The Packages Sigma, EvaluateMultiSums and SumProduction
• Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms