Lagrangians manifesting color-kinematics duality in the NMHV sector of Yang-Mills
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Publication:6074284
DOI10.1007/JHEP08(2023)222arXiv2301.00233OpenAlexW4386370937MaRDI QIDQ6074284
Author name not available (Why is that?)
Publication date: 12 October 2023
Published in: (Search for Journal in Brave)
Abstract: Scattering amplitudes in Yang-Mills theory are known to exhibit kinematic structures which hint to an underlying kinematic algebra that is dual to the gauge group color algebra. This color-kinematics duality is still poorly understood in terms of conventional Feynman rules, or from a Lagrangian formalism. In this work, we present explicit Lagrangians whose Feynman rules generate duality-satisfying tree-level BCJ numerators, to any multiplicity in the next-to-MHV sector of pure Yang Mills theory. Our Lagrangians make use of at most three pairs of auxiliary fields (2,1,0-forms) -- surprisingly few compared to previous attempts of Lagrangians at low multiplicities. To restrict the Lagrangian freedom it is necessary to make several non-trivial assumptions regarding field content, kinetic terms, and interactions, which we discuss in some detail. Future progress likely hinges on relaxing these assumptions.
Full work available at URL: https://arxiv.org/abs/2301.00233
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