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

Frederix, Rikkert LU orcid and Vitos, Timea LU (2021) In Journal of High Energy Physics 2021(12).
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.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
QCD Phenomenology
in
Journal of High Energy Physics
volume
2021
issue
12
article number
157
publisher
Springer
external identifiers
  • scopus:85121577226
ISSN
1029-8479
DOI
10.1007/JHEP12(2021)157
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2021, The Author(s).
id
2ae65183-4a88-4767-b67b-4ae5e4336aee
date added to LUP
2022-01-30 12:14:29
date last changed
2025-04-04 14:27:56
@article{2ae65183-4a88-4767-b67b-4ae5e4336aee,
  abstract     = {{<p>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.</p>}},
  author       = {{Frederix, Rikkert and Vitos, Timea}},
  issn         = {{1029-8479}},
  keywords     = {{QCD Phenomenology}},
  language     = {{eng}},
  number       = {{12}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{The colour matrix at next-to-leading-colour accuracy for tree-level multi-parton processes}},
  url          = {{http://dx.doi.org/10.1007/JHEP12(2021)157}},
  doi          = {{10.1007/JHEP12(2021)157}},
  volume       = {{2021}},
  year         = {{2021}},
}