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arXiv · 1211.5048

Tree-Loop Duality Relation beyond simple poles

Isabella Bierenbaum·Sebastian Buchta·Petros Draggiotis·Ioannis Malamos·German Rodrigo
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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.

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Isabella Bierenbaum, Sebastian Buchta, Petros Draggiotis, Ioannis Malamos, German Rodrigo. 2012-11-21. Tree-Loop Duality Relation beyond simple poles. https://arxiv.org/abs/1211.5048

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