28011 2507.22981 10.1007/JHEP01(2026)129 129 129 An N-independent tensor decomposition for SU(N) Regular Article - Theoretical Physics 1 31 2026 1 19 2025 8 1 2025 10 6 2025 11 7 2026 1 19 2026 1 19 The Author(s) 2026 Open Access. This article is distributed under the terms of the Creative Commons Attribution License ( CC-BY 4.0 ), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. 13130 2026 2026 1 1 Stefan Keppeler stefan.keppeler@uni-tuebingen.de Malin Sjodahl malin.sjodahl@fysik.lu.se Bernanda Telalovic bernanda.telalovic@nbi.ku.dk https://ror.org/03a1kwz48 grid.10392.39 0000 0001 2190 1447 Fachbereich Mathematik Universität Tübingen Auf der Morgenstelle 10 D-72076 Tübingen Germany https://ror.org/012a77v79 grid.4514.4 0000 0001 0930 2361 Department of Physics Lund University Box 118 SE-221 00 Lund Sweden https://ror.org/035b05819 grid.5254.6 0000 0001 0674 042X Niels Bohr International Academy Københavns Universitet Blegdamsvej 17 DK-2100 Copenhagen Denmark https://ror.org/01faaaf77 grid.5110.5 0000000121539003 Institute of Physics, NAWI Graz University of Graz Universitätsplatz 5 A-8010 Graz Austria 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. Keywords Parton Shower Resummation Specific QCD Phenomenology ArXiv ePrint: 2507.22981