The colour matrix at next-to-leading-colour accuracy for tree-level multi-parton processes

Research output: Contribution to journalArticlepeer-review

Abstract

We investigate the next-to-leading-colour (NLC) contributions to the colour matrix in the fundamental and the colour-flow decompositions for tree-level processes with all gluons, one quark pair and two quark pairs. By analytical examination of the colour factors, we find the non-zero elements in the colour matrix at NLC. At this colour order, together with the symmetry of the phase-space, it is reduced from factorial to polynomial the scaling of the contributing dual amplitudes as the number of partons participating in the scattering process is increased. This opens a path to an accurate tree-level matrix element generator of which all factorial complexity is removed, without resulting to Monte Carlo sampling over colour.

Original languageEnglish
Article number157
JournalJournal of High Energy Physics
Volume2021
Issue number12
DOIs
Publication statusPublished - 2021 Dec

Subject classification (UKÄ)

  • Subatomic Physics

Keywords

  • QCD Phenomenology

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