Abstract Any loop QCD amplitude at full colour is constructed from kinematic and gauge-group building blocks. In a unitarity-based on-shell framework, both objects can be reconstructed from their respective counterparts in tree-level amplitudes. This procedure is at its most powerful when aligned with flexible colour decompositions of tree-level QCD amplitudes. In this note we derive such decompositions for amplitudes with an arbitrary number of quarks and gluons from the same principle that is used to bootstrap kinematics— unitarity factorisation. In the process we formulate new multi-quark bases and provide closed-form expressions for the new decompositions. We then elaborate upon their application in colour decompositions of loop multi-quark amplitudes.

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loop qcd amplitude colour decompositions of loop multiquark amplitudes kinematic and gaugegroup building multiquark bases closedform expressions kinematics unitarity unitaritybased onshell

Alexander Ochirov,Ben Page,.Multi-quark colour decompositions from unitarity. 2019 (10),.

Alexander Ochirov,Ben Page,"Multi-quark colour decompositions from unitarity" 2019

Alexander Ochirov,Ben Page,"Multi-quark colour decompositions from unitarity"