The Boostless Bootstrap and BCFW Momentum Shifts
arXiv:2009.14289 · doi:10.1007/JHEP03(2021)091
Abstract
In a recent paper [1], three-particle interactions without invariance under Lorentz boosts were constrained by demanding that they yield tree-level four-particle scattering amplitudes with singularities as dictated by unitarity and locality. In this brief note, we show how to obtain an independent verification and consistency check of these boostless bootstrap results using BCFW momentum shifts. We point out that the constructibility criterion, related to the behaviour of the deformed amplitude at infinite BCFW parameter z, is not strictly necessary to obtain non-trivial constraints for the three-particle interactions.
arXiv comment5 pages + references Revised version with an additional assumption
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