Natural selection rules: new positivity bounds for massive spinning particles
dc.contributor.author | Davighi, J | |
dc.contributor.author | Melville, S | |
dc.contributor.author | You, T | |
dc.date.accessioned | 2022-05-27T16:08:37Z | |
dc.date.available | 2022-05-27T16:08:37Z | |
dc.date.issued | 2022 | |
dc.date.submitted | 2021-08-30 | |
dc.identifier.issn | 1029-8479 | |
dc.identifier.other | jhep02(2022)167 | |
dc.identifier.other | 17852 | |
dc.identifier.uri | https://www.repository.cam.ac.uk/handle/1810/337558 | |
dc.description.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. | |
dc.language | en | |
dc.publisher | Springer Science and Business Media LLC | |
dc.subject | Regular Article - Theoretical Physics | |
dc.subject | Effective Field Theories | |
dc.subject | Scattering Amplitudes | |
dc.title | Natural selection rules: new positivity bounds for massive spinning particles | |
dc.type | Article | |
dc.date.updated | 2022-05-27T16:08:36Z | |
prism.issueIdentifier | 2 | |
prism.publicationName | Journal of High Energy Physics | |
prism.volume | 2022 | |
dc.identifier.doi | 10.17863/CAM.84967 | |
dcterms.dateAccepted | 2022-01-27 | |
rioxxterms.versionofrecord | 10.1007/JHEP02(2022)167 | |
rioxxterms.version | VoR | |
rioxxterms.licenseref.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.contributor.orcid | Melville, S [0000-0003-3516-856X] | |
dc.identifier.eissn | 1029-8479 | |
pubs.funder-project-id | EPSRC (EP/T017481/1) | |
cam.issuedOnline | 2022-02-21 | |
dc.identifier.arxiv | 2108.06334 |
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