Integrating massive 3-loop diagrams with operator insertions

An extension of the method to integrate scalar finite massless Feynman integrals in D=4 space-time dimensions is presented. We allow for the insertion of local operators, which leads to a dependence on the general operator spin variable N and calculate a series of 3-loop topologies containing a single massive line. These terms contribute to the heavy flavor corrections of the deep-inelastic structure functions at 3-loop order in the asymptotic region Q2>>m2. The mathematical background of the computation relies on hyperlogarithms, generalizing the harmonic polylogarithms. Advanced summation methods are used in a final step to obtain compact results in terms of generalized harmonic sums. The method allows for the first computation of a series of diagrams and gives very compact expressions in intermediate and final results.