Simplified differential equations approach for Master Integrals
High Energy Physics - Phenomenology
2017-09-15 v3
Abstract
A simplified differential equations approach for Master Integrals is presented. It allows to express them, straightforwardly, in terms of Goncharov Polylogarithms. As a proof-of-concept of the proposed method, results at one and two loops are presented, including the massless one-loop pentagon with up to one off-shell leg at order epsilon.
Cite
@article{arxiv.1401.6057,
title = {Simplified differential equations approach for Master Integrals},
author = {Costas G. Papadopoulos},
journal= {arXiv preprint arXiv:1401.6057},
year = {2017}
}
Comments
20 pages, 6 figures, ancillary files with results. References and acknowledgments added