The Boostless Bootstrap and BCFW Momentum Shifts

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.

5 pages + references Revised version with an additional assumption

References in corpus (6)

• Taming Tree Amplitudes In General Relativity
• Constraints from Conformal Symmetry on the Three Point Scalar Correlator in Inflation
• The Boostless Bootstrap: Amplitudes without Lorentz boosts
• On the Symmetries of Cosmological Perturbations
• Steinmann Relations and the Wavefunction of the Universe
• Determination of Boundary Contributions in Recursion Relation

Cited by in corpus (6)

• Linking the Singularities of Cosmological Correlators
• From Locality and Unitarity to Cosmological Correlators
• From Amplitudes to Contact Cosmological Correlators
• Inflationary Adler Conditions
• Soft Phonon Theorems
• Fractional soft limits