Decomposing color structure into multiplet bases
(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:
https://lup.lub.lu.se/record/8198721
- author
- Sjödahl, Malin LU and Thorén, Johan LU
- organization
- publishing date
- 2015
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- QCD Phenomenology
- in
- Journal of High Energy Physics
- issue
- 9
- article number
- 055
- publisher
- Springer
- external identifiers
-
- wos:000363538200001
- scopus:84941360159
- ISSN
- 1029-8479
- DOI
- 10.1007/JHEP09(2015)055
- language
- English
- LU publication?
- yes
- id
- 449fd9e7-f2f8-4185-95dc-f01eaa145ff7 (old id 8198721)
- date added to LUP
- 2016-04-01 11:05:12
- date last changed
- 2024-02-22 17:19:37
@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.}}, author = {{Sjödahl, Malin and Thorén, Johan}}, issn = {{1029-8479}}, keywords = {{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}}, doi = {{10.1007/JHEP09(2015)055}}, year = {{2015}}, }