Three-loop massive tadpoles and polylogarithms through weight six
High Energy Physics - Phenomenology
2017-08-18 v3 High Energy Physics - Theory
Abstract
We evaluate the three-loop massive vacuum bubble diagrams in terms of polylogarithms up to weight six. We also construct the basis of irrational constants being harmonic polylgarithms of arguments .
Cite
@article{arxiv.1705.05136,
title = {Three-loop massive tadpoles and polylogarithms through weight six},
author = {B. A. Kniehl and A. F. Pikelner and O. L. Veretin},
journal= {arXiv preprint arXiv:1705.05136},
year = {2017}
}
Comments
26 pages, 4 ancillary files, v3: version published in JHEP: minor additions, file with results for massive three-loop form-factor integrals added