The boostless bootstrap and BCFW momentum shifts

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 inde...

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Main Authors: David Stefanyszyn, Jakub Supeł
Format: Article
Language:English
Published: SpringerOpen 2021-03-01
Series:Journal of High Energy Physics
Subjects:
Scattering Amplitudes
Space-Time Symmetries
Gauge Symmetry
Online Access:https://doi.org/10.1007/JHEP03(2021)091
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spelling doaj-2c5cd34875ab46f3bfad1d999bf1cd732021-03-11T11:20:47ZengSpringerOpenJournal of High Energy Physics1029-84792021-03-012021311210.1007/JHEP03(2021)091The boostless bootstrap and BCFW momentum shiftsDavid Stefanyszyn0Jakub Supeł1Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of CambridgeDepartment of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of CambridgeAbstract 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.https://doi.org/10.1007/JHEP03(2021)091Scattering AmplitudesSpace-Time SymmetriesGauge Symmetry
collection DOAJ
language English
format Article
sources DOAJ
author David Stefanyszyn
Jakub Supeł
spellingShingle David Stefanyszyn
Jakub Supeł
The boostless bootstrap and BCFW momentum shifts
Journal of High Energy Physics
Scattering Amplitudes
Space-Time Symmetries
Gauge Symmetry
author_facet David Stefanyszyn
Jakub Supeł
author_sort David Stefanyszyn
title The boostless bootstrap and BCFW momentum shifts
title_short The boostless bootstrap and BCFW momentum shifts
title_full The boostless bootstrap and BCFW momentum shifts
title_fullStr The boostless bootstrap and BCFW momentum shifts
title_full_unstemmed The boostless bootstrap and BCFW momentum shifts
title_sort boostless bootstrap and bcfw momentum shifts
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2021-03-01
description 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.
topic Scattering Amplitudes
Space-Time Symmetries
Gauge Symmetry
url https://doi.org/10.1007/JHEP03(2021)091
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