Uniqueness from locality and BCFW shifts
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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 , 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.
KeywordsScattering Amplitudes Gauge Symmetry Perturbative QCD
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