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Malin Sjödahl

Malin Sjödahl

Senior lecturer, docent

Malin Sjödahl

Orthogonal multiplet bases in SU(N-c) color space

Author

  • Stefan Keppeler
  • Malin Sjödahl

Summary, in English

We develop a general recipe for constructing orthogonal bases for the calculation of color structures appearing in QCD for any number of partons and arbitrary N-c. The bases are constructed using hermitian gluon projectors onto irreducible subspaces invariant under SU(N-c). Thus, each basis vector is associated with an irreducible representation of SU(N-c). The resulting multiplet bases are not only orthogonal, but also minimal for finite N-c. As a consequence, for calculations involving many colored particles, the number of basis vectors is reduced significantly compared to standard approaches employing overcomplete bases. We exemplify the method by constructing multiplet bases for all processes involving a total of 6 external colored partons.

Department/s

  • Theoretical Particle Physics - Has been reorganised

Publishing year

2012

Language

English

Publication/Series

Journal of High Energy Physics

Issue

9

Document type

Journal article

Publisher

Springer

Topic

  • Subatomic Physics

Keywords

  • QCD Phenomenology
  • NLO Computations

Status

Published

ISBN/ISSN/Other

  • ISSN: 1029-8479