Orthogonal multiplet bases in SU(N-c) color space
(2012) In Journal of High Energy Physics- Abstract
- We develop a general recipe for constructing orthogonal bases for the calculation of color structures appearing in QCD for any number of partons and arbitrary N-c. The bases are constructed using hermitian gluon projectors onto irreducible subspaces invariant under SU(N-c). Thus, each basis vector is associated with an irreducible representation of SU(N-c). The resulting multiplet bases are not only orthogonal, but also minimal for finite N-c. As a consequence, for calculations involving many colored particles, the number of basis vectors is reduced significantly compared to standard approaches employing overcomplete bases. We exemplify the method by constructing multiplet bases for all processes involving a total of 6 external colored... (More)
- We develop a general recipe for constructing orthogonal bases for the calculation of color structures appearing in QCD for any number of partons and arbitrary N-c. The bases are constructed using hermitian gluon projectors onto irreducible subspaces invariant under SU(N-c). Thus, each basis vector is associated with an irreducible representation of SU(N-c). The resulting multiplet bases are not only orthogonal, but also minimal for finite N-c. As a consequence, for calculations involving many colored particles, the number of basis vectors is reduced significantly compared to standard approaches employing overcomplete bases. We exemplify the method by constructing multiplet bases for all processes involving a total of 6 external colored partons. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3256098
- author
- Keppeler, Stefan and Sjödahl, Malin LU
- organization
- publishing date
- 2012
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- QCD Phenomenology, NLO Computations
- in
- Journal of High Energy Physics
- issue
- 9
- publisher
- Springer
- external identifiers
-
- wos:000310341200016
- scopus:84928550086
- ISSN
- 1029-8479
- DOI
- 10.1007/JHEP09(2012)124
- language
- English
- LU publication?
- yes
- id
- 8bcd4682-4930-4267-a621-9a82845859ad (old id 3256098)
- date added to LUP
- 2016-04-01 11:08:05
- date last changed
- 2024-02-22 18:26:54
@article{8bcd4682-4930-4267-a621-9a82845859ad, abstract = {{We develop a general recipe for constructing orthogonal bases for the calculation of color structures appearing in QCD for any number of partons and arbitrary N-c. The bases are constructed using hermitian gluon projectors onto irreducible subspaces invariant under SU(N-c). Thus, each basis vector is associated with an irreducible representation of SU(N-c). The resulting multiplet bases are not only orthogonal, but also minimal for finite N-c. As a consequence, for calculations involving many colored particles, the number of basis vectors is reduced significantly compared to standard approaches employing overcomplete bases. We exemplify the method by constructing multiplet bases for all processes involving a total of 6 external colored partons.}}, author = {{Keppeler, Stefan and Sjödahl, Malin}}, issn = {{1029-8479}}, keywords = {{QCD Phenomenology; NLO Computations}}, language = {{eng}}, number = {{9}}, publisher = {{Springer}}, series = {{Journal of High Energy Physics}}, title = {{Orthogonal multiplet bases in SU(N-c) color space}}, url = {{http://dx.doi.org/10.1007/JHEP09(2012)124}}, doi = {{10.1007/JHEP09(2012)124}}, year = {{2012}}, }