The colour matrix at next-to-leading-colour accuracy for tree-level multi-parton processes
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.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- December 2021
- DOI:
- 10.1007/JHEP12(2021)157
- arXiv:
- arXiv:2109.10377
- Bibcode:
- 2021JHEP...12..157F
- Keywords:
-
- QCD Phenomenology;
- High Energy Physics - Phenomenology
- E-Print:
- 36 pages, 6 figures, 10 tables