115 citations · 468 across the 26 of their papers we have counts for
Showing hep-thShow all
3 papers · 1 filter
hep-th2017★ 115 cited
Iterated Elliptic and Hypergeometric Integrals for Feynman Diagrams
J. Ablinger, J. Blümlein, A. De Freitas +5
We calculate 3-loop master integrals for heavy quark correlators and the 3-loop QCD corrections to the -parameter. They obey non-factorizing differential equations of second ord…
hep-th2014★ 2 cited
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,…
hep-th2014★ 90 cited
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…