English

A new method for the calculation of massive multiloop diagrams

High Energy Physics - Phenomenology 2007-05-23 v2

Abstract

Starting from the parametric representation of a Feynman diagram, we obtain it's well defined value in dimensional regularisation by changing the integrals over parameters into contour integrals. That way we eventually arrive at a representation consisting of well-defined compact integrals. The result is a simple transformation of the integrand which gives the analytic continuation of a wide class of Feynmanintegrals. The algorithm will especially be fit for numerical calculation of general massive multi-loop integrals. An important advantage of this method is that it allows us to calculate both infinite and finite parts independently.

Keywords

Cite

@article{arxiv.hep-ph/9712449,
  title  = {A new method for the calculation of massive multiloop diagrams},
  author = {K. Knecht and H. Verschelde},
  journal= {arXiv preprint arXiv:hep-ph/9712449},
  year   = {2007}
}

Comments

18 pages, 1 fig, LaTeX, more examples, higher accuracy due to better program, typos corrected, references added

R2 v1 2026-07-22T14:41:22.099Z