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arxiv: hep-ph/0609191 · v2 · submitted 2006-09-19 · ✦ hep-ph · hep-th

D-dimensional unitarity cut method

classification ✦ hep-ph hep-th
keywords epsilonintegrationmethodamplitudescomputedimensionsfour-dimensionalunitarity
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We develop a unitarity method to compute one-loop amplitudes with massless propagators in d=4-2*epsilon dimensions. We compute double cuts of the loop amplitudes via a decomposition into a four-dimensional and a -2*epsilon-dimensional integration. The four-dimensional integration is performed using spinor integration or other efficient techniques. The remaining integral in -2*epsilon dimensions is cast in terms of bubble, triangle, box, and pentagon master integrals using dimensional shift identities. The method yields results valid for arbitrary values of epsilon.

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