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Malin Sjödahl

Malin Sjödahl

Senior lecturer, docent

Malin Sjödahl

Wigner 6j symbols with gluon lines : completing the set of 6j symbols required for color decomposition

Author

  • Stefan Keppeler
  • Simon Plätzer
  • Malin Sjodahl

Summary, in English

We construct a set of Wigner 6j symbols with gluon lines (adjoint representations) in closed form, expressed in terms of similar 6j symbols with quark lines (fundamental representations). Together with these Wigner 6j symbols with quark lines, this gives a set of 6j symbols sufficient for treating QCD color structure for any number of external particles, in or beyond perturbation theory. This facilitates a complete treatment of QCD color structure in terms of orthogonal multiplet bases, without the need of ever explicitly constructing the corresponding bases. We thereby open up for a completely representation theory based treatment of SU(N) color structure, with the potential of significantly speeding up the color structure treatment.

Department/s

  • Particle and nuclear physics

Publishing year

2024-05

Language

English

Publication/Series

Journal of High Energy Physics

Volume

2024

Issue

5

Document type

Journal article

Publisher

Springer

Topic

  • Subatomic Physics

Keywords

  • Parton Shower
  • Resummation
  • The Strong Coupling

Status

Published

ISBN/ISSN/Other

  • ISSN: 1029-8479