Feynman's Tree Theorem and Loop-Tree Dualities

Isabella Bierenbaum , Stefano Catani , Petros Draggiotis , German Rodrigo

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classification ✦ hep-ph hep-th

keywords integralsdiscussdualityrelationtheoremapplicationcasecuts

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We discuss the duality theorem, which provides a relation between loop integrals and phase space integrals. We rederive the duality relation for the one-loop case and extend it to two and higher-order loops. We explicitly show its application to two- and three-loop scalar master integrals and discuss the structure of the occurring cuts.

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Feynman's Tree Theorem and Loop-Tree Dualities

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