UV complete me: positivity bounds for particles with spin
File(s)
Published version
Author(s)
de Rham, Claudia
Melville, Scott
Tolley, Andrew J
Zhou, Shuang-Yong
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.
Date Issued
2018-03-05
Date Acceptance
2018-02-22
Citation
Journal of High Energy Physics, 2018, 2018 (3)
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.
Sponsor
The Royal Society
Science and Technology Facilities Council (STFC)
The Royal Society
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000426797700001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Grant Number
PHTH_P62062
ST/P000762/1
PHTH_P62062
Subjects
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
Publication Status
Published
Article Number
ARTN 011