publication . Preprint . Article . 2013

Color ordering in QCD

Theodor Schuster;
Open Access English
  • Published: 25 Nov 2013
Abstract
We derive color decompositions of arbitrary tree and one-loop QCD amplitudes into color ordered objects called primitive amplitudes. Furthermore, we derive general fermion flip and reversion identities spanning the null space among the primitive amplitudes and use them to prove that all color ordered tree amplitudes of massless QCD can be written as linear combinations of color ordered tree amplitudes of $\mathcal{N}=4$ super Yang-Mills theory.
doi: 10.1103/physrevd.89.105022
Subjects
arXiv: High Energy Physics::Lattice
free text keywords: High Energy Physics - Phenomenology, High Energy Physics - Theory, Nuclear and High Energy Physics, Quantum chromodynamics, Massless particle, Particle physics, Linear combination, Mathematical physics, Supergravity, Kernel (linear algebra), Physics, Amplitude, Scattering amplitude, Fermion
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Color decomposition of QCD amplitudes 9 2.1 Tree-level . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.2 One-Loop level . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 [12] S. Badger, B. Biedermann, P. Uwer, and V. Yundin, \NLO QCD corrections to multi-jet production at the LHC with a centre-of-mass energy of ps = 8 TeV", Phys.Lett. B718 (2013) 965{978, arXiv:1209.0098 [hep-ph].

[13] S. Badger, B. Biedermann, P. Uwer, and V. Yundin, \Next-to-leading order QCD corrections to ve jet production at the LHC", arXiv:1309.6585 [hep-ph].

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