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Title

From loops to trees by-passing Feynman's theorem

AuthorsCatani, Stefano; Gleisberg, Tanju; Krauss, Frank; Rodrigo, Germán CSIC ORCID ; Winter, Jan-Christopher
KeywordsNLO computations
QCD
Issue Date7-May-2008
AbstractWe derive a duality relation between one-loop integrals and phase-space integrals emerging from them through single cuts. The duality relation is realized by a modification of the customary +i0 prescription of the Feynman propagators. The new prescription regularizing the propagators, which we write in a Lorentz covariant form, compensates for the absence of multiple-cut contributions that appear in the Feynman Tree Theorem. The duality relation can be applied to generic one-loop quantities in any relativistic, local and unitary field theories. It is suitable for applications to the analytical calculation of one-loop scattering amplitudes, and to the numerical evaluation of cross-sections at next-to-leading order.
URIhttp://hdl.handle.net/10261/4065
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