QCD multiplet bases with arbitrary parton ordering

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Abstract

We develop an algorithm for recursively constructing orthogonal multiplet bases for the color space of QCD, for any order of partons and any Nc. This recipe is then applied for explicitly constructing some of these bases. Using the bases, a corresponding set of Wigner 6j coefficients are calculated. The Wigner coefficients offer a method of using multiplet bases without resorting to the explicit expressions of the basis vectors, which lead to a significant speed-up compared to other methods of treating full color structure.

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Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Subatomic Physics

Keywords

  • Perturbative QCD, Quantum Groups, Resummation
Original languageEnglish
Article number198
JournalJournal of High Energy Physics
Volume2018
Issue number11
Publication statusPublished - 2018
Publication categoryResearch
Peer-reviewedYes

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