English

Four-point function in general kinematics through geometrical splitting and reduction

High Energy Physics - Theory 2022-10-21 v1 High Energy Physics - Phenomenology Mathematical Physics math.MP

Abstract

It is shown how the geometrical splitting of N-point Feynman diagrams can be used to simplify the parametric integrals and reduce the number of variables in the occurring functions. As an example, a calculation of the dimensionally-regulated one-loop four-point function in general kinematics is presented.

Keywords

Cite

@article{arxiv.1711.07351,
  title  = {Four-point function in general kinematics through geometrical splitting and reduction},
  author = {Andrei I. Davydychev},
  journal= {arXiv preprint arXiv:1711.07351},
  year   = {2022}
}

Comments

8 pages, 9 figures, contribution for proceedings of ACAT 2017 (Seattle, USA, August 21-25, 2017). arXiv admin note: substantial text overlap with arXiv:1605.04828

R2 v1 2026-06-22T22:51:34.103Z