QCD multiplet bases with arbitrary parton ordering
High Energy Physics - Phenomenology
2018-12-26 v1 High Energy Physics - Theory
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.
Cite
@article{arxiv.1809.05002,
title = {QCD multiplet bases with arbitrary parton ordering},
author = {Malin Sjodahl and Johan Thorén},
journal= {arXiv preprint arXiv:1809.05002},
year = {2018}
}
Comments
24 pages, 2 figures