115 citations · 468 across the 26 of their papers we have counts for
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3-loop heavy flavor Wilson coefficients in deep-inelastic scattering
J. Ablinger, A. Behring, J. Blümlein +7
We present our most recent results on the calculation of the heavy flavor contributions to deep-inelastic scattering at 3-loop order in the large limit, where the heavy flavo…
Non-planar Feynman integrals, Mellin-Barnes representations, multiple sums
Johannes Blümlein, Ievgen Dubovyk, Janusz Gluza +4
The construction of Mellin-Barnes (MB) representations for non-planar Feynman diagrams and the summation of multiple series derived from general MB representations are discussed. A…
Nested (inverse) binomial sums and new iterated integrals for massive Feynman diagrams
Jakob Ablinger, Johannes Blümlein, Clemens G. Raab +1
Nested sums containing binomial coefficients occur in the computation of massive operator matrix elements. Their associated iterated integrals lead to alphabets including radicals,…
Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering
A. Ablinger, A. Behring, J. Blümlein +7
We report on our latest results in the calculation of the three-loop heavy flavor contributions to the Wilson coefficients in deep-inelastic scattering in the asymptotic region $Q^…
Iterated Binomial Sums and their Associated Iterated Integrals
J. Ablinger, J. Blümlein, C. G. Raab +1
We consider finite iterated generalized harmonic sums weighted by the binomial in numerators and denominators. A large class of these functions emerges in the calcu…
Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms
Jakob Ablinger, Johannes Blümlein, Clemens Raab +2
We calculate convergent 3-loop Feynman diagrams containing a single massive loop equipped with twist local operator insertions corresponding to spin . They contribute to t…