%0 Journal Article
%T A tree-loop duality relation at two loops and beyond
%A Bierenbaum, I.
%A Catani, S.
%A Draggiotis, P.
%A Rodrigo, G.
%J Journal of High Energy Physics
%D 2010
%V 10
%N 10
%I Springer
%@ 1126-6708
%G English
%F Bierenbaum_etal2010
%O ISI:000284147000016
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=326), last updated on Thu, 24 Mar 2011 11:42:08 +0000
%X 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.
%K NLO Computations
%K QCD
%R 10.1007/JHEP10(2010)073
%U http://lanl.arxiv.org/abs/1007.0194
%U https://doi.org/10.1007/JHEP10(2010)073
%P 073-22pp