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Orthogonal multiplet bases in SU(N-c) color space

Keppeler, Stefan and Sjödahl, Malin LU (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)
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author
organization
publishing date
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
1126-6708
DOI
10.1007/JHEP09(2012)124
language
English
LU publication?
yes
id
8bcd4682-4930-4267-a621-9a82845859ad (old id 3256098)
date added to LUP
2012-12-27 09:59:19
date last changed
2017-09-10 03:27:38
@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         = {1126-6708},
  keyword      = {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},
  year         = {2012},
}