Refined Holonomic Summation Algorithms in Particle Physics
Symbolic Computation
2017-10-31 v2 High Energy Physics - Phenomenology
Abstract
An improved multi-summation approach is introduced and discussed that enables one to simultaneously handle indefinite nested sums and products in the setting of difference rings and holonomic sequences. Relevant mathematics is reviewed and the underlying advanced difference ring machinery is elaborated upon. The flexibility of this new toolbox contributed substantially to evaluating complicated multi-sums coming from particle physics. Illustrative examples of the functionality of the new software package RhoSum are given.
Keywords
Cite
@article{arxiv.1706.03677,
title = {Refined Holonomic Summation Algorithms in Particle Physics},
author = {Johannes Blümlein and Mark Round and Carsten Schneider},
journal= {arXiv preprint arXiv:1706.03677},
year = {2017}
}
Comments
Modified Proposition 2.1 and Corollary 2.1