English

Structural Relations between Harmonic Sums up to w=6

High Energy Physics - Phenomenology 2008-11-26 v1 Mathematical Physics math.MP

Abstract

Multiply nested finite harmonic sums Sa1...an(N)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(α2)O(\alpha^2).

Keywords

Cite

@article{arxiv.0706.2426,
  title  = {Structural Relations between Harmonic Sums up to w=6},
  author = {Johannes Blümlein and Sebastian Klein},
  journal= {arXiv preprint arXiv:0706.2426},
  year   = {2008}
}
R2 v1 2026-06-21T08:39:09.299Z