On the analytic computation of massless propagators in dimensional regularization
High Energy Physics - Theory
2014-03-24 v2 High Energy Physics - Phenomenology
Computational Physics
Abstract
We comment on the algorithm to compute periods using hyperlogarithms, applied to massless Feynman integrals in the parametric representation. Explicitly, we give results for all three-loop propagators with arbitrary insertions including order and show examples at four and more loops. Further we prove that all coefficients of the -expansion of these integrals are rational linear combinations of multiple zeta values and in some cases possibly also alternating Euler sums.
Cite
@article{arxiv.1305.2161,
title = {On the analytic computation of massless propagators in dimensional regularization},
author = {Erik Panzer},
journal= {arXiv preprint arXiv:1305.2161},
year = {2014}
}
Comments
28 pages, 11 figures, minor corrections, error in (4.10) corrected, results attached as ancillary files (also available from http://www.math.hu-berlin.de/~panzer/)