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- Jakob Ablinger
- 2012

III

- Jakob Ablinger, I. Bierenbaum, +4 authors Fabian Wissbrock
- 2010

We report on results for the heavy flavor contributions to F2(x,Q ) in the limit Q â‰« m at NNLO. By calculating the massive 3â€“loop operator matrix elements, we account for all but the power suppressedâ€¦ (More)

- Jakob Ablinger, Johannes BlÃ¼mlein, Carsten Schneider
- ArXiv
- 2011

The computation of Feynman integrals in massive higher order perturbative calculations in renormalizable Quantum Field Theories requires extensions of multiply nested harmonic sums, which can beâ€¦ (More)

We report on recent results obtained for the massive Wilson coefficients which contribute to the structure function F 2 (x, Q 2) at O(Î± 3 s) in the region Q 2 /m 2 > âˆ¼ 10. In the calculation newâ€¦ (More)

- Jakob Ablinger, Arnd Behring, Johannes BlÃ¼mlein, Abilio De Freitas, A. von Manteuffel, Carsten Schneider
- Computer Physics Communications
- 2016

Three loop ladder and V-topology diagrams contributing to the massive operator matrix element AQg are calculated. The corresponding objects can all be expressed in terms of nested sums andâ€¦ (More)

- Jakob Ablinger, Johannes BlÃ¼mlein, Mark Round, Carsten Schneider
- ArXiv
- 2012

Two-point Feynman parameter integrals, with at most one mas s and containing local operator insertions in 4+ Îµ-dimensional Minkowski space, can be transformed to multiintegrals or multisums overâ€¦ (More)

- Jakob Ablinger
- ArXiv
- 2014

This paper summarizes the essential functionality of the co mputer algebra package HarmonicSums. On the one handHarmonicSums can work with nested sums such as harmonic sums and their generalizationsâ€¦ (More)

A survey is given on mathematical structures which emerge in multi-loop Feynman diagrams. These are multiply nested sums, and, associated to them by an inverse Mellin transform, specific iteratedâ€¦ (More)

- Jakob Ablinger, Johannes BlÃ¼mlein
- ArXiv
- 2013

In these introductory lectures we discuss classes of presen tly k own nested sums, associated iterated integrals, and special co nstants which hierarchically appear in the evaluation of massless andâ€¦ (More)

- Jakob Ablinger, Johannes BlÃ¼mlein, Sebastian Klein, Claudia Schneider, Fabian Wissbrock
- Nuclear physics. B
- 2011

The contributions [Formula: see text] to the [Formula: see text] massive operator matrix elements describing the heavy flavor Wilson coefficients in the limit [Formula: see text] are computed for theâ€¦ (More)