Masses, fermions and generalized D-dimensional unitarity

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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18 pages, 2 figures

Scientific paper

10.1016/j.nuclphysb.2009.07.023

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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