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arxiv: 0806.3467 · v1 · submitted 2008-06-20 · ✦ hep-ph

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Masses, fermions and generalized D-dimensional unitarity

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classification ✦ hep-ph
keywords d-dimensionalunitarityamplitudesexternalgeneralizedgluonsmassivemethod
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We extend the generalized D-dimensional unitarity method for numerical evaluation of one-loop amplitudes by incorporating massive particles. The issues related to extending the spinor algebra to higher dimensions, treatment of external self-energy diagrams and mass renormalization are discussed within the context of the D-dimensional unitarity method. To validate our approach, we calculate in QCD the one-loop scattering amplitudes of a massive quark pair with up to three additional gluons for arbitrary spin states of the external quarks and gluons.

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