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arXiv · 0706.2426

Structural Relations between Harmonic Sums up to w=6

Johannes Blümlein·Sebastian Klein
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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 $O(α^2)$.

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Johannes Blümlein, Sebastian Klein. 2007-06-16. Structural Relations between Harmonic Sums up to w=6. https://doi.org/10.3360/dis.2007.209

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