English

Automatizing the application of Mellin-Barnes representations for Feynman integrals

High Energy Physics - Phenomenology 2009-04-16 v2

Abstract

Feynman diagrams may be evaluated by Mellin-Barnes representations of their Feynman parameter integrals in d=4-2\eps dimensions. Recently, the Mathematica toolkit AMBRE has been developed for the automatic derivation of such representations with a loop-by-loop approach. We describe the package and exemplify its use with the \eps-expansion of the massive one-loop QED vertex function.

Keywords

Cite

@article{arxiv.0707.3567,
  title  = {Automatizing the application of Mellin-Barnes representations for Feynman integrals},
  author = {J. Gluza and F. Haas and K. Kajda and T. Riemann},
  journal= {arXiv preprint arXiv:0707.3567},
  year   = {2009}
}

Comments

10 pages, contribution to proceedings of ACAT, Amsterdam, The Netherlands, April 23-27, 2007, several (trivial) typos corrected

R2 v1 2026-06-21T09:01:18.947Z