Cyclic Mario Worlds -- Color-Decomposition for One-Loop QCD

Understand

We present a new color decomposition for QCD amplitudes at one-loop level as a generalization of the Del Duca-Dixon-Maltoni and Johansson-Ochirov decomposition at tree level.

• Starting from a minimal basis of planar primitive amplitudes we write down a color decomposition that is free of linear dependencies among appearing primitive amplitudes or color factors.
• The conjectured decomposition applies to any number of quark flavors and is independent of the choice of gauge group and matter representation.
• The results also hold for higher-dimensional or supersymmetric extensions of QCD.