The colour matrix at next-to-leading-colour accuracy for tree-level multi-parton processes
arXiv:2109.10377 · doi:10.1007/JHEP12(2021)157
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.
arXiv comment36 pages, 6 figures, 10 tables
References in corpus (23)
- The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
- A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX
- Herwig 7.0 / Herwig++ 3.0 Release Note
- Comix, a new matrix element generator
- Event Generation with Sherpa 2.2
- Multi-Parton Amplitudes in Gauge Theories
- New Color Decompositions for Gauge Amplitudes at Tree and Loop Level
- The automation of next-to-leading order electroweak calculations
- One-loop calculations in quantum field theory: from Feynman diagrams to unitarity cuts
- One-Loop Corrections to Two-Quark Three-Gluon Amplitudes
- A new approach to multi-jet calculations in hadron collisions
- Numerical evaluation of virtual corrections to multi-jet production in massless QCD
- Color-flow decomposition of QCD amplitudes
- Color-Kinematics Duality for QCD Amplitudes
- One-loop amplitudes for W+3 jet production in hadron collisions
- Orthogonal multiplet bases in SU(Nc) color space
- Multi-Quark Colour Decompositions from Unitarity
- Getting more flavour out of one-flavour QCD
- Colour Decompositions of Multi-quark One-loop QCD Amplitudes
- Decomposition of one-loop QCD amplitudes into primitive amplitudes based on shuffle relations
- The role of colour flows in matrix element computations and Monte Carlo simulations
- Color ordering in QCD
- Generating QCD amplitudes in the color-flow basis with MadGraph