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A tree-loop duality relation at two loops and beyond. (English) Zbl 1291.81381
Summary: 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.

81V05 Strong interaction, including quantum chromodynamics
81T18 Feynman diagrams
81T80 Simulation and numerical modelling (quantum field theory) (MSC2010)
Full Text: DOI arXiv
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