Structural Relations between Harmonic Sums up to w=6

Abstract

Multiply nested finite harmonic sums $S_{a_1...a_n}(N)$ occur in many single scale higher order calculations in Quantum Field Theory. We discuss their algebraic and structural relations to weight {\sf w=6}. As an example, we consider the application of these relations to the soft and virtual corrections for Bhabha-scattering to $O({\alpha }^2)$.

Comments: 1 latex + 1 style file, to appear in the proceedings of 15th International Workshop on Deep-Inelastic Scattering and Related Subjects (DIS2007), Munich, Germany, 16-20 Apr 2007