Structural Relations between Harmonic Sums up to w=6

Details Structural Relations between Harmonic Sums up to w=6 Structural Relations between Harmonic Sums up to w=6

2007-06-16

arxiv.org/abs/0706.2426v1

PoSACAT:084,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

1 latex + 1 style file, to appear in the proceedings of 15th International Workshop on Deep-Inelastic Scattering and Related S

Scientific paper

10.3360/dis.2007.209

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 $O(\alpha^2)$.

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