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Orthogonal color bases for exotic representations

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arxiv 2412.07390 v1 pith:HGAHLZKO submitted 2024-12-10 hep-ph

classification hep-ph
keywords basescolorexoticorthogonalrepresentationsincludingmultipletstructure
verification ladder T0 review T1 audit T2 compute T3 formal
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A complication in the treatment of any strongly charged particle is the SU(3) color structure. For the standard model quarks antiquarks and gluons there are various well-known strategies for dealing with the color structure, including orthogonal multiplet bases. For exotic representations, beyond triplets, antitriplets and octets, non-orthogonal bases have been systematically worked out only recently. In this letter we demonstrate how to construct orthogonal multiplet bases also for processes including exotic representations.

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Cited by 1 Pith paper

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  1. An $N$-independent tensor decomposition for SU($N$)

    hep-ph 2025-07 conditional novelty 7.0 of 10

    A new column-based Littlewood-Richardson algorithm decomposes products of SU(N) representations labeled by Young diagram pairs, valid simultaneously for all N.

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