Single mass scale diagrams: construction of a basis for the $\epsilon$-expansion
High Energy Physics - Phenomenology
2009-10-31 v3 High Energy Physics - Theory
Abstract
Exploring the idea of Broadhurst on the ``sixth root of unity'' we present an ansatz for construction of a basis of transcendental numbers for the epsilon-expansion of single mass scale diagrams with two particle massive cut. As example, several new two- and three-loop master integrals are calculated.
Keywords
Cite
@article{arxiv.hep-ph/9910223,
title = {Single mass scale diagrams: construction of a basis for the $\epsilon$-expansion},
author = {J. Fleischer and M. Yu. Kalmykov},
journal= {arXiv preprint arXiv:hep-ph/9910223},
year = {2009}
}
Comments
13 pages, LaTeX, two eps-figures. in v.3 misprint in epsilon-part of Eq.(10) is corrected