The Construction of Dual-trace Factor in Yang-Mills Theory

Abstract

Recently, a BCJ dual of the color-ordered formula for Yang-Mills amplitude was proposed, where the dual-trace factor satisfies cyclic symmetry and KK-relation. In this paper, we present a systematic construction of the dual-trace factor based on its proposed relations to kinematic numerators in dual-DDM form. We show that the construction presented respects relabeling symmetry. In addition, we show that using relabeling symmetry as conditions, the same construction can be solved independently.

33 pages, 2 figures; typos fixed, text corrections included, to appear in JHEP

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• Dual-color decompositions at one-loop level in Yang-Mills theory
• Properties of scattering forms and their relation to associahedra
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