Natural selection rules: new positivity bounds for massive spinning particles
Publication Date
2022Journal Title
Journal of High Energy Physics
ISSN
1029-8479
Publisher
Springer Science and Business Media LLC
Volume
2022
Issue
2
Language
en
Type
Article
This Version
VoR
Metadata
Show full item recordCitation
Davighi, J., Melville, S., & You, T. (2022). Natural selection rules: new positivity bounds for massive spinning particles. Journal of High Energy Physics, 2022 (2) https://doi.org/10.1007/JHEP02(2022)167
Abstract
We derive new effective field theory (EFT) positivity bounds on the elastic
$2\to2$ scattering amplitudes of massive spinning particles from the standard
UV properties of unitarity, causality, locality and Lorentz invariance. By
bounding the $t$ derivatives of the amplitude (which can be represented as
angular momentum matrix elements) in terms of the total ingoing helicity, we
derive stronger unitarity bounds on the $s$- and $u$-channel branch cuts which
determine the dispersion relation. In contrast to previous positivity bounds,
which relate the $t$-derivative to the forward-limit EFT amplitude with no $t$
derivatives, our bounds establish that the $t$-derivative alone must be
strictly positive for sufficiently large helicities. Consequently, they provide
stronger constraints beyond the forward limit and can be used to constrain
dimension-6 interactions with a milder assumption about the high-energy growth
of the UV amplitude.
Keywords
Effective Field Theories, Scattering Amplitudes
Sponsorship
EPSRC (EP/T017481/1)
Identifiers
jhep02(2022)167, 17852
External DOI: https://doi.org/10.1007/JHEP02(2022)167
This record's URL: https://www.repository.cam.ac.uk/handle/1810/337558
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/
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