Masses, fermions and generalized D-dimensional unitarity
By R. Ellis, W. Giele, Z. Kunszt, K. Melnikov. 2008
189 citations recorded by the source corpus.
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.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/422d68199182936508936acef2101adac31a2862
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In Nuclear and High Energy Physics
- Cms Collaboration
- Gudrun Heinrich
- Valentin Hirschi
- M. Zaro
- Fabio Maltoni
- Olivier Mattelaer
- R. Frederix
- Atlas Collaboration
Citations in the corpus
- A brief introduction to modern amplitude methods (2013, unknown): “The same kind of hierarchical, automated approach described above can be applied to the D-dimensional case [44].”
- The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations (2014, methodology): “Namely, a universal formalism for the cancellation of infrared singularities [10–14], and a technique for the algorithmic evaluation of renormalised one-loop amplitudes [15–25], both of which must work in a process- and observable independent manner.”
- Direct extraction of one loop rational terms (2008, background): “After integrating a generic triple cut over the on-shell delta functions a one dimensional integral still remains and it is difficult to separate any new independent functions from the residues of previously computed, higher order poles.”