@Article{Bierenbaum_etal2010, author="Bierenbaum, I. and Catani, S. and Draggiotis, P. and Rodrigo, G.", title="A tree-loop duality relation at two loops and beyond", journal="Journal of High Energy Physics", year="2010", publisher="Springer", volume="10", number="10", pages="073--22pp", optkeywords="NLO Computations; QCD", abstract="The duality relation between one-loop integrals and phase-space integrals, developed in a previous work, is extended to higher-order loops. The duality relation is realized by a modification of the customary +i0 prescription of the Feynman propagators, which compensates for the absence of the multiple-cut contributions that appear in the Feynman tree theorem. We rederive the duality theorem at one-loop order in a form that is more suitable for its iterative extension to higher-loop orders. We explicitly show its application to two-and three-loop scalar master integrals, and we discuss the structure of the occurring cuts and the ensuing results in detail.", optnote="ISI:000284147000016", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=326), last updated on Thu, 24 Mar 2011 11:42:08 +0000", issn="1126-6708", doi="10.1007/JHEP10(2010)073", opturl="http://lanl.arxiv.org/abs/1007.0194", opturl="https://doi.org/10.1007/JHEP10(2010)073", language="English" }