Counting master integrals: integration by parts vs. differential reduction
Mathematical Physics
2011-08-09 v2 High Energy Physics - Theory
math.MP
Abstract
The techniques of integration by parts and differential reduction differ in the counting of master integrals. This is illustrated using as an example the two-loop sunset diagram with on-shell kinematics. A new algebraic relation between the master integrals of the two-loop sunset diagram that does not follow from the integration-by-parts technique is found.
Cite
@article{arxiv.1105.5319,
title = {Counting master integrals: integration by parts vs. differential reduction},
author = {Mikhail Yu. Kalmykov and Bernd A. Kniehl},
journal= {arXiv preprint arXiv:1105.5319},
year = {2011}
}
Comments
6 pages, 1 figure; minor changes to the text, figure added; to appear in Phys. Lett. B