One-loop N-point equivalence among negative-dimensional, Mellin-Barnes and Feynman parametrization approaches to Feynman integrals
High Energy Physics - Phenomenology
2008-11-26 v1
Abstract
We show that at one-loop order, negative-dimensional, Mellin-Barnes' (MB) and Feynman parametrization (FP) approaches to Feynman loop integrals calculations are equivalent. Starting with a generating functional, for two and then for -point scalar integrals we show how to reobtain MB results, using negative-dimensional and FP techniques. The point result is valid for different masses, arbitrary exponents of propagators and dimension.
Cite
@article{arxiv.hep-ph/0309080,
title = {One-loop N-point equivalence among negative-dimensional, Mellin-Barnes and Feynman parametrization approaches to Feynman integrals},
author = {A. T. Suzuki and E. S. Santos and A. G. M. Schmidt},
journal= {arXiv preprint arXiv:hep-ph/0309080},
year = {2008}
}
Comments
11 pages, LaTeX. To be published in J.Phys.A