Breaking the 2-loop barrier for generalized IBP reduction
High Energy Physics - Theory
2020-07-07 v1 High Energy Physics - Phenomenology
Abstract
We discuss the problem of constructing differential operators for the generalized IBP reduction algorithms at the 2-loop level. A deeply optimized software allows one to efficiently construct such operators for the first non-degenerate 2-loop cases. The most efficient approach is found to be via the so-called partial operators that are much simpler than the complete ones, and that affect the power of only one of the polynomials in the product.
Cite
@article{arxiv.1912.04857,
title = {Breaking the 2-loop barrier for generalized IBP reduction},
author = {A. A. Radionov and F. V. Tkachov},
journal= {arXiv preprint arXiv:1912.04857},
year = {2020}
}
Comments
17 pages, presented at the Bogolyubov-2019 Conference, 11-13 Sep. 2019, JINR, Dubna, Russia