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Summing Large-N Towers in Colour Flow Evolution

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arxiv 1312.2448 v1 pith:QDYU6KJV submitted 2013-12-09 hep-ph

classification hep-ph
keywords colourevolutioncontributionsflowlarge-nsoftachievedanomalous
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider soft gluon evolution in the colour flow basis. We give explicit expressions for the colour structure of the (one-loop) soft anomalous dimension matrix for an arbitrary number of partons, and show how the successive exponentiation of classes of large-N contributions can be achieved to provide a systematic expansion of the evolution in terms of colour supressed contributions.

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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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