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Decomposing color structure into multiplet bases

Sjödahl, Malin LU and Thorén, Johan LU (2015) In Journal of High Energy Physics
Abstract
We illustrate how QCD color structure elegantly can be decomposed into orthogonal multiplet bases corresponding to irreducible representations of SU(N-c) with the aid of Wigner 3j and 6j coefficients. We also show how to calculate the relevant 3j and 6j coefficients using multiplet bases and birdtrack techniques and argue that only a relatively small number of Wigner 3j and 6j coefficients are required. For up to six gluons plus quark-antiquark pairs we explicitly calculate all 6j coefficients required for up to NLO calculations.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
QCD Phenomenology
in
Journal of High Energy Physics
issue
9
publisher
Springer
external identifiers
  • wos:000363538200001
  • scopus:84941360159
ISSN
1126-6708
DOI
10.1007/JHEP09(2015)055
language
English
LU publication?
yes
id
449fd9e7-f2f8-4185-95dc-f01eaa145ff7 (old id 8198721)
date added to LUP
2015-11-26 11:28:00
date last changed
2017-07-23 03:30:25
@article{449fd9e7-f2f8-4185-95dc-f01eaa145ff7,
  abstract     = {We illustrate how QCD color structure elegantly can be decomposed into orthogonal multiplet bases corresponding to irreducible representations of SU(N-c) with the aid of Wigner 3j and 6j coefficients. We also show how to calculate the relevant 3j and 6j coefficients using multiplet bases and birdtrack techniques and argue that only a relatively small number of Wigner 3j and 6j coefficients are required. For up to six gluons plus quark-antiquark pairs we explicitly calculate all 6j coefficients required for up to NLO calculations.},
  articleno    = {055},
  author       = {Sjödahl, Malin and Thorén, Johan},
  issn         = {1126-6708},
  keyword      = {QCD Phenomenology},
  language     = {eng},
  number       = {9},
  publisher    = {Springer},
  series       = {Journal of High Energy Physics},
  title        = {Decomposing color structure into multiplet bases},
  url          = {http://dx.doi.org/10.1007/JHEP09(2015)055},
  year         = {2015},
}