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D-dimensional unitarity cut method

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arxiv hep-ph/0609191 v2 pith:YTDZ7LJR submitted 2006-09-19 hep-ph hep-th

classification hep-phhep-th
keywords epsilonintegrationmethodamplitudescomputedimensionsfour-dimensionalunitarity
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 3 Pith papers

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    A complete set of recurrence relations is derived to reduce any tensor integral of the sunset diagram to seven master integrals, using generating functions supplemented by syzygy equations.

  2. Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function

    hep-th 2025-01 conditional novelty 5.0 of 10

    A rational, recursion-free expression for one-loop tensor reduction coefficients with Lorentz indices is given, built from a small set of tensor building blocks.

  3. Feynman Integral Reduction without Integration-By-Parts

    hep-th 2024-12 unverdicted novelty 5.0 of 10

    Contour equivalence in Feynman parameterization yields universal reduction formulas for one-loop integrals without integration-by-parts.

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