Göttingen 2012 – scientific programme

Parts | Days | Selection | Search | Updates | Downloads | Help

T: Fachverband Teilchenphysik

T 13: QCD (Theorie) 3

T 13.3: Talk

Thursday, March 1, 2012, 17:15–17:30, VG 3.103

Integrating massive 3-loop diagrams with operator insertions — •Johannes Blümlein and Fabian Wißbrock — DESY

An extension of the method to integrate scalar finite massless Feynman integrals in D=4 space-time dimensions [arXiv:0804.1660] 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.