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UV complete me: positivity bounds for particles with spin

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Title: UV complete me: positivity bounds for particles with spin
Authors: De Rham, C
Melville, S
Tolley, AJ
Zhou, S-Y
Item Type: Journal Article
Abstract: For a low energy effective theory to admit a standard local, unitary, analytic and Lorentz-invariant UV completion, its scattering amplitudes must satisfy certain inequalities. While these bounds are known in the forward limit for real polarizations, any extension beyond this for particles with nonzero spin is subtle due to their non-trivial crossing relations. Using the transversity formalism (i.e. spin projections orthogonal to the scattering plane), in which the crossing relations become diagonal, these inequalities can be derived for 2-to-2 scattering between any pair of massive particles, for a complete set of polarizations at and away from the forward scattering limit. This provides a set of powerful criteria which can be used to restrict the parameter space of any effective field theory, often considerably more so than its forward limit subset alone.
Issue Date: 1-Mar-2019
Date of Acceptance: 22-Feb-2018
URI: http://hdl.handle.net/10044/1/67513
DOI: https://dx.doi.org/10.1007/JHEP03(2018)011
ISSN: 1029-8479
Publisher: Springer Verlag (Germany)
Journal / Book Title: Journal of High Energy Physics
Volume: 2018
Issue: 3
Copyright Statement: © The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative CommonsAttribution License (CC-BY 4.0), which permits any use, distribution and reproduction inany medium, provided the original author(s) and source are credited.
Keywords: Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
Effective Field Theories
Scattering Amplitudes
HELICITY AMPLITUDES
ANALYTICITY PROPERTIES
CROSSING RELATIONS
SCATTERING-AMPLITUDES
DISPERSION RELATIONS
MATRIX
SINGULARITIES
EXTENSION
PROOF
hep-th
gr-qc
hep-ph
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status: Published
Article Number: ARTN 011
Online Publication Date: 2018-03-05
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences



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