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All-gluon amplitudes with off-shell recursion in multiplet bases

Bolinder, Oskar ; Frederix, Rikkert LU orcid and Sjodahl, Malin LU (2025) In Journal of High Energy Physics 2025(10).
Abstract

The efficient computation of color-summed QCD amplitudes at high parton multiplicities remains a central challenge for precision collider predictions. Existing approaches using trace, color-flow, or adjoint bases suffer from non-orthogonality, which complicates the color algebra and scales poorly with multiplicity. In this work, we present an off-shell recursive framework for computing all-gluon tree-level amplitudes directly in orthogonal multiplet bases. Utilizing Wigner 6j coefficients, we construct an algorithm that builds multiplet-projected off-shell currents from lower-point currents. By optimizing the recursion through partial summation and caching, we find that the computational complexity of calculating n-gluon color-summed... (More)

The efficient computation of color-summed QCD amplitudes at high parton multiplicities remains a central challenge for precision collider predictions. Existing approaches using trace, color-flow, or adjoint bases suffer from non-orthogonality, which complicates the color algebra and scales poorly with multiplicity. In this work, we present an off-shell recursive framework for computing all-gluon tree-level amplitudes directly in orthogonal multiplet bases. Utilizing Wigner 6j coefficients, we construct an algorithm that builds multiplet-projected off-shell currents from lower-point currents. By optimizing the recursion through partial summation and caching, we find that the computational complexity of calculating n-gluon color-summed squared amplitudes scales as O17n. This demonstrates the potential competitiveness of multiplet bases for high-multiplicity processes.

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Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Automation, Parton Shower, Specific QCD Phenomenology
in
Journal of High Energy Physics
volume
2025
issue
10
article number
168
publisher
Springer
external identifiers
  • scopus:105019354008
ISSN
1029-8479
DOI
10.1007/JHEP10(2025)168
language
English
LU publication?
yes
additional info
Publisher Copyright: © The Author(s) 2025.
id
90d0dfa5-aab6-4e1a-aefe-f6429b4d9c5d
date added to LUP
2025-12-18 09:13:12
date last changed
2025-12-18 09:13:47
@article{90d0dfa5-aab6-4e1a-aefe-f6429b4d9c5d,
  abstract     = {{<p>The efficient computation of color-summed QCD amplitudes at high parton multiplicities remains a central challenge for precision collider predictions. Existing approaches using trace, color-flow, or adjoint bases suffer from non-orthogonality, which complicates the color algebra and scales poorly with multiplicity. In this work, we present an off-shell recursive framework for computing all-gluon tree-level amplitudes directly in orthogonal multiplet bases. Utilizing Wigner 6j coefficients, we construct an algorithm that builds multiplet-projected off-shell currents from lower-point currents. By optimizing the recursion through partial summation and caching, we find that the computational complexity of calculating n-gluon color-summed squared amplitudes scales as O17n. This demonstrates the potential competitiveness of multiplet bases for high-multiplicity processes.</p>}},
  author       = {{Bolinder, Oskar and Frederix, Rikkert and Sjodahl, Malin}},
  issn         = {{1029-8479}},
  keywords     = {{Automation; Parton Shower; Specific QCD Phenomenology}},
  language     = {{eng}},
  number       = {{10}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{All-gluon amplitudes with off-shell recursion in multiplet bases}},
  url          = {{http://dx.doi.org/10.1007/JHEP10(2025)168}},
  doi          = {{10.1007/JHEP10(2025)168}},
  volume       = {{2025}},
  year         = {{2025}},
}