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QCD multiplet bases with arbitrary parton ordering

Sjodahl, Malin LU and Thorén, Johan LU (2018) In Journal of High Energy Physics 2018(11).
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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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Perturbative QCD, Quantum Groups, Resummation
in
Journal of High Energy Physics
volume
2018
issue
11
article number
198
publisher
Springer
external identifiers
  • scopus:85058641784
ISSN
1029-8479
DOI
10.1007/JHEP11(2018)198
project
Innovative Network for Monte Carlo Event Generators for LHC Physics
language
English
LU publication?
yes
id
28a2eefc-0466-450f-a681-af65c76c759c
date added to LUP
2019-01-04 13:48:44
date last changed
2024-03-02 16:33:54
@article{28a2eefc-0466-450f-a681-af65c76c759c,
  abstract     = {{<p>We develop an algorithm for recursively constructing orthogonal multiplet bases for the color space of QCD, for any order of partons and any N<sub>c</sub>. 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.</p>}},
  author       = {{Sjodahl, Malin and Thorén, Johan}},
  issn         = {{1029-8479}},
  keywords     = {{Perturbative QCD; Quantum Groups; Resummation}},
  language     = {{eng}},
  number       = {{11}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{QCD multiplet bases with arbitrary parton ordering}},
  url          = {{http://dx.doi.org/10.1007/JHEP11(2018)198}},
  doi          = {{10.1007/JHEP11(2018)198}},
  volume       = {{2018}},
  year         = {{2018}},
}