English

Masses, fermions and generalized D-dimensional unitarity

High Energy Physics - Phenomenology 2010-04-21 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0806.3467,
  title  = {Masses, fermions and generalized D-dimensional unitarity},
  author = {R. K. Ellis and W. T. Giele and Z. Kunszt and K. Melnikov},
  journal= {arXiv preprint arXiv:0806.3467},
  year   = {2010}
}

Comments

18 pages, 2 figures

R2 v1 2026-06-21T10:53:00.195Z