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Improving Colour Computations in MadGraph5_aMC@NLO and Exploring a 1/Nc Expansion

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arxiv 2210.07267 v2 pith:IFZ6BHY7 submitted 2022-10-13 hep-ph

classification hep-ph
keywords colourmadgraph5expansionmatrixableachievebeforeberends-giele-like
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this paper, we present an extension of MadGraph5_aMC@NLO which is able to evaluate tree-level QCD matrix-elements up to $2\to 6$ (one more particle than before). To achieve this, we implemented Berends-Giele-like recursion, and re-implemented the way colour is computed such that we can now expand the colour matrix in powers of 1/Nc and truncate this expansion to a chosen order. For high multiplicity samples, even without truncating the colour matrix, the new implementation offers a speed gain compared to the previous MadGraph5_aMC@NLO code.

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  1. Data-parallel leading-order event generation in MadGraph5_aMC@NLO

    hep-ph 2025-07 conditional novelty 6.0 of 10

    CUDACPP gives MadGraph data-parallel helicity amplitudes, delivering linear SIMD CPU speed-ups and up to order-of-magnitude GPU speed-ups for high-multiplicity QCD event generation.

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