The massless two-loop two-point function
High Energy Physics - Phenomenology
2009-11-10 v3
Abstract
We consider the massless two-loop two-point function with arbitrary powers of the propagators and derive a representation, from which we can obtain the Laurent expansion to any desired order in the dimensional regularization parameter eps. As a side product, we show that in the Laurent expansion of the two-loop integral only rational numbers and multiple zeta values occur. Our method of calculation obtains the two-loop integral as a convolution product of two primitive one-loop integrals. We comment on the generalization of this product structure to higher loop integrals.
Cite
@article{arxiv.hep-ph/0308311,
title = {The massless two-loop two-point function},
author = {Isabella Bierenbaum and Stefan Weinzierl},
journal= {arXiv preprint arXiv:hep-ph/0308311},
year = {2009}
}
Comments
22 pages, revised version, eq. 9, 10 and 53 corrected