Improving colour computations in MadGraph5_aMC@NLO and exploring a $1/N_c$ expansion

Lifson, Andrew;Mattelaer, Olivier
(2022) European Physical Journal C — Vol. 82 (2022)

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In this paper, we present an extension of MadGraph5_aMC@NLO which is able to evaluate tree-level QCD matrix-elements up to $2\rightarrow 6$ (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 $1/N_c$ 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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Lifson, A., & Mattelaer, O. (2022). Improving colour computations in MadGraph5_aMC@NLO and exploring a $1/N_c$ expansion. European Physical Journal C, 82. https://doi.org/10.1140/epjc/s10052-022-11078-2 (Original work published 2022)