Periods and Feynman integrals
High Energy Physics - Theory
2009-11-19 v2 High Energy Physics - Phenomenology
Abstract
We consider multi-loop integrals in dimensional regularisation and the corresponding Laurent series. We study the integral in the Euclidean region and where all ratios of invariants and masses have rational values. We prove that in this case all coefficients of the Laurent series are periods.
Keywords
Cite
@article{arxiv.0711.4863,
title = {Periods and Feynman integrals},
author = {Christian Bogner and Stefan Weinzierl},
journal= {arXiv preprint arXiv:0711.4863},
year = {2009}
}
Comments
22 pages, appendix added, version to be published