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Uniqueness from locality and BCFW shifts

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arxiv 1612.03885 v3 pith:DQA4KYKJ submitted 2016-12-12 hep-th

classification hep-th
keywords localityamplitudebcfwshiftstree-levelyang-millsarxivasymptotic
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We introduce a BCFW shift which can be used to recursively build the full Yang-Mills tree-level amplitude as a function of polarization vectors. Furthermore, in line with the recent results of arXiv:1612.02797, 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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gravity loop integrands from the ultraviolet

    hep-th 2019-09 conditional novelty 7.0 of 10

    Four-dimensional N=8 supergravity loop integrands scale one power better at infinity than general-D power-counting predicts, and this homogeneous scaling combined with BCFW behavior uniquely fixes the integrand throug...

  2. UV considerations on scattering amplitudes in a web of theories

    hep-th 2019-08 conditional novelty 6.0 of 10

    Tree-level amplitudes in a web of effective field theories are uniquely fixed by locality plus novel single-hard UV scaling constraints, with unitarity emerging in many cases.

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