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Advanced Computer Algebra Algorithms for the Expansion of Feynman Integrals
J. Ablinger, S. Blümlein, M. Round +1
Two-point Feynman parameter integrals, with at most one mass and containing local operator insertions in $4+\ep$-dimensional Minkowski space, can be transformed to multi-integrals…
Massive 3-loop Ladder Diagrams for Quarkonic Local Operator Matrix Elements
Jakob Ablinger, Johannes Blümlein, Alexander Hasselhuhn +3
3-loop diagrams of the ladder-type, which emerge for local quarkonic twist-2 operator matrix elements, are computed directly for general values of the Mellin variable using App…
The } Contributions to the Gluonic Massive Operator Matrix Elements
Johannes Blümlein, Alexander Hasselhuhn, Sebastian Klein +1
The terms to the massive gluonic operator matrix elements are calculated for general values of the Mellin variable . These twist-2 matrix elements o…
Evaluation of Multi-Sums for Large Scale Problems
J. Blümlein, A. Hasselhuhn, C. Schneider
A big class of Feynman integrals, in particular, the coefficients of their Laurent series expansion w.r.t.\ the dimension parameter $\ep$ can be transformed to multi-sums over hype…
New Heavy Flavor Contributions to the DIS Structure Function at $O(α_s^3)
J. Ablinger, J. Blümlein, A. Hasselhuhn +3
We report on recent results obtained for the massive Wilson coefficients which contribute to the structure function at in the region $Q^2/m^2 \gsim 10$. In…