Abstract
Recent explorations on how to construct a double copy of massive gauge fields have shown that, while any amplitude can be written in a form consistent with colour-kinematics duality, the double copy is generically unphysical. In this paper, we explore a new direction in which we can obtain a sensible double copy of massive gauge fields due to the special kinematics in three-dimensional spacetimes. To avoid the appearance of spurious poles at 5-points, we only require that the scattering amplitudes satisfy one BCJ relation. We show that the amplitudes of Topologically Massive Yang-Mills satisfy this relation and that their double copy at three, four, and five-points is Topologically Massive Gravity.
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González, M.C., Momeni, A. & Rumbutis, J. Massive double copy in three spacetime dimensions. J. High Energ. Phys. 2021, 116 (2021). https://doi.org/10.1007/JHEP08(2021)116
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DOI: https://doi.org/10.1007/JHEP08(2021)116