Wigner 6j symbols for SU(N): Symbols with at least two quark-lines
arXiv:2209.15013 · doi:10.1063/5.0131538
Abstract
We study a class of SU(N) Wigner 6j symbols involving two fundamental representations, and derive explicit formulae for all 6j symbols in this class. Our formulae express the 6j symbols in terms of the dimensions of the involved representations, and they are thereby functions of N. We view these explicit formulae as a first step towards efficiently decomposing SU(N) color structures in terms of group invariants.
arXiv comment39 pages, 1 figure
References in corpus (24)
- MadGraph 5 : Going Beyond
- Soft radiation in heavy-particle pair production: all-order colour structure and two-loop anomalous dimension
- Parton showers with quantum interference
- Color-flow decomposition of QCD amplitudes
- Subleading Nc improved Parton Showers
- A numerical algorithm for the explicit calculation of SU(N) and SL(N,C) Clebsch-Gordan coefficients
- Soft gluons at large angles in hadron collisions
- Fast and accurate evaluation of Wigner 3j, 6j, and 9j symbols using prime factorisation and multi-word integer arithmetic
- Resummation and simulation of soft gluon effects beyond leading colour
- Color matrix element corrections for parton showers
- Summing Large-N Towers in Colour Flow Evolution
- Orthogonal multiplet bases in SU(Nc) color space
- Color structure for soft gluon resummation - a general recipe
- The colour evolution of the process q q -> q q g
- Color evolution of 2 -> 3 processes
- Compact Hermitian Young Projection Operators
- Hermitian Young Operators
- Colour Reconnection from Soft Gluon Evolution
- Transition Operators
- Birdtracks for SU(N)
- Colour Evolution and Infrared Physics
- QCD multiplet bases with arbitrary parton ordering
- HELAC-PHEGAS: automatic computation of helicity amplitudes and cross sections
- Simplification Rules for Birdtrack Operators