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arXiv · 2607.10006

Color-factor symmetry using perturbiner methods for tree-level amplitudes of Yang-Mills theory coupled to matter

Abigail R. Chriss·Mia Karlsson·Stephen G. Naculich
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Abstract

Bern-Carrasco-Johansson relations are helicity-independent constraints among the partial amplitudes of tree-level processes containing gluons and possibly also matter fields. They are a consequence of color-kinematic duality, but alternatively can be derived using the color-factor symmetry of tree-level amplitudes. We use recursive perturbiner methods to present a general, streamlined proof of the color-factor symmetry of all tree-level amplitudes containing an arbitrary number of fundamental spin-zero or spin-one-half matter fields and at least one gluon.

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Abigail R. Chriss, Mia Karlsson, Stephen G. Naculich. 2026-07-10. Color-factor symmetry using perturbiner methods for tree-level amplitudes of Yang-Mills theory coupled to matter. https://arxiv.org/abs/2607.10006

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