Iterated integrals over letters induced by quadratic forms
High Energy Physics - Theory
2021-06-02 v1 Symbolic Computation
High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Abstract
An automated treatment of iterated integrals based on letters induced by real-valued quadratic forms and Kummer--Poincar\'e letters is presented. These quantities emerge in analytic single and multi--scale Feynman diagram calculations. To compactify representations, one wishes to apply general properties of these quantities in computer-algebraic implementations. We provide the reduction to basis representations, expansions, analytic continuation and numerical evaluation of these quantities.
Cite
@article{arxiv.2103.08330,
title = {Iterated integrals over letters induced by quadratic forms},
author = {J. Ablinger and J. Blümlein and C. Schneider},
journal= {arXiv preprint arXiv:2103.08330},
year = {2021}
}
Comments
14 pages LATEX, 1 anc. file