Abstract
We introduce a BCFW shift that can be used to recursively build the full YangMills tree-level amplitude as a function of polarization vectors. Furthermore, in line with the recent results of [1], we conjecture that the Yang-Mills tree-level scattering amplitude is uniquely fixed by locality and demanding the usual asymptotic behavior under a sufficient number of shifts. Unitarity therefore emerges from locality and constructability. We prove this statement at the leading order in the soft expansion.
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Rodina, L. Uniqueness from locality and BCFW shifts. J. High Energ. Phys. 2019, 78 (2019). https://doi.org/10.1007/JHEP09(2019)078
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DOI: https://doi.org/10.1007/JHEP09(2019)078