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arxiv hep-ph/0612277 v2 pith:5LPYQX2S submitted 2006-12-21 hep-ph hep-th

Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes

classification hep-ph hep-th
keywords reductionamplitudesintegralsmasterdimensionsone-loopstepunitarity
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present an alternative reduction to master integrals for one-loop amplitudes using a unitarity cut method in arbitrary dimensions. We carry out the reduction in two steps. The first step is a pure four-dimensional cut-integration of tree amplitudes with a mass parameter, and the second step is applying dimensional shift identities to master integrals. This reduction is performed at the integrand level, so that coefficients can be read out algebraically.

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Cited by 2 Pith papers

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    MadGraph5_aMC@NLO automates tree-level, NLO, shower-matched, and merged cross-section computations for collider processes in a unified flexible framework.

  2. Feynman Integral Reduction without Integration-By-Parts

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