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An N-independent tensor decomposition for SU(N)

Keppeler, Stefan LU ; Sjodahl, Malin LU and Telalovic, Bernanda (2026) In Journal of High Energy Physics 2026(1).
Abstract

To facilitate a simultaneous treatment of an arbitrary number of colors in representation theory-based descriptions of QCD color structure, we derive an N-independent reduction of SU(N) tensor products. To this end, we label each irreducible representation by a pair of Young diagrams, with parts acting on quarks and antiquarks. By combining this with a column-wise multiplication of Young diagrams, we generalize the Littlewood-Richardson rule for the product of two Young diagrams to the product of two Young diagram pairs, achieving a general-N decomposition.

Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Parton Shower, Resummation, Specific QCD Phenomenology
in
Journal of High Energy Physics
volume
2026
issue
1
article number
129
publisher
Springer
external identifiers
  • scopus:105029050278
ISSN
1029-8479
DOI
10.1007/JHEP01(2026)129
language
English
LU publication?
yes
id
4244475c-1828-4e4d-9830-73b9557c65fb
date added to LUP
2026-02-20 15:56:29
date last changed
2026-02-20 15:56:41
@article{4244475c-1828-4e4d-9830-73b9557c65fb,
  abstract     = {{<p>To facilitate a simultaneous treatment of an arbitrary number of colors in representation theory-based descriptions of QCD color structure, we derive an N-independent reduction of SU(N) tensor products. To this end, we label each irreducible representation by a pair of Young diagrams, with parts acting on quarks and antiquarks. By combining this with a column-wise multiplication of Young diagrams, we generalize the Littlewood-Richardson rule for the product of two Young diagrams to the product of two Young diagram pairs, achieving a general-N decomposition.</p>}},
  author       = {{Keppeler, Stefan and Sjodahl, Malin and Telalovic, Bernanda}},
  issn         = {{1029-8479}},
  keywords     = {{Parton Shower; Resummation; Specific QCD Phenomenology}},
  language     = {{eng}},
  number       = {{1}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{An N-independent tensor decomposition for SU(N)}},
  url          = {{http://dx.doi.org/10.1007/JHEP01(2026)129}},
  doi          = {{10.1007/JHEP01(2026)129}},
  volume       = {{2026}},
  year         = {{2026}},
}