Tree-Loop Duality Relation beyond simple poles
High Energy Physics - Phenomenology
2012-11-22 v1 High Energy Physics - Theory
Abstract
We develop the Tree-Loop Duality Relation for two- and three-loop integrals with multiple identical propagators (multiple poles). This is the extension of the Duality Relation for single poles and multiloop integrals derived in previous publications. We prove a generalization of the formula for single poles to multiple poles and we develop a strategy for dealing with higher-order pole integrals by reducing them to single pole integrals using Integration By Parts.
Cite
@article{arxiv.1211.5048,
title = {Tree-Loop Duality Relation beyond simple poles},
author = {Isabella Bierenbaum and Sebastian Buchta and Petros Draggiotis and Ioannis Malamos and German Rodrigo},
journal= {arXiv preprint arXiv:1211.5048},
year = {2012}
}
Comments
21 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:1007.0194