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Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes
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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.
Forward citations
Cited by 2 Pith papers
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Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function
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.
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Feynman Integral Reduction without Integration-By-Parts
Contour equivalence in Feynman parameterization yields universal reduction formulas for one-loop integrals without integration-by-parts.
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