QCD multiplet bases with arbitrary parton ordering

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.

24 pages, 2 figures

References in corpus (5)

• Parton showers with quantum interference
• ColorMath - A package for color summed calculations in SU(Nc)
• Color matrix element corrections for parton showers
• Color evolution of 2 -> 3 processes
• On stochastically sampling color configurations

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• Improving Colour Computations in MadGraph5_aMC@NLO and Exploring a 1/Nc Expansion