English

Geometrical splitting and reduction of Feynman diagrams

High Energy Physics - Theory 2017-11-20 v1 High Energy Physics - Phenomenology Mathematical Physics math.MP

Abstract

A geometrical approach to the calculation of N-point Feynman diagrams is reviewed. It is shown that the geometrical splitting yields useful connections between Feynman integrals with different momenta and masses. It is demonstrated how these results can be used to reduce the number of variables in the occurring functions.

Keywords

Cite

@article{arxiv.1605.04828,
  title  = {Geometrical splitting and reduction of Feynman diagrams},
  author = {Andrei I. Davydychev},
  journal= {arXiv preprint arXiv:1605.04828},
  year   = {2017}
}

Comments

6 pages, 8 figures, contribution for proceedings of ACAT 2016 (Valparaiso, Chile, January 18-22, 2016)