Full one-loop amplitudes from tree amplitudes

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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27 pages, revtex

Scientific paper

10.1088/1126-6708/2008/04/049

We establish an efficient polynomial-complexity algorithm for one-loop calculations, based on generalized $D$-dimensional unitarity. It allows automated computations of both cut-constructible {\it and} rational parts of one-loop scattering amplitudes from on-shell tree amplitudes. We illustrate the method by (re)-computing all four-, five- and six-gluon scattering amplitudes in QCD at one-loop.

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