{"title":"一个\\( {\\mathbbm{CP}}^2 \\) SMEFT","authors":"N. S. Manton","doi":"10.1007/JHEP04(2025)180","DOIUrl":null,"url":null,"abstract":"<p>An extension of the Standard Model is proposed, where the Higgs field is valued in the complex projective plane <span>\\( {\\mathbbm{CP}}^2 \\)</span>, rather than <i>ℂ</i><sup>2</sup>. Its geometry is consistent with U(2) ≃ (SU(2) × U(1))/<i>ℤ</i><sub>2</sub> electroweak gauge symmetry. The leading terms in the Lagrangian, beyond those of the Standard Model, are much more tightly constrained than in general SMEFTs, and the custodial SO(4) symmetry of the Higgs sector is mildly broken. The predicted tree-level deviations from Standard Model phenomenology depend on a single large mass parameter <i>M</i>. Current experimental data imply that <i>M</i> is a few TeV or larger.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2025 4","pages":""},"PeriodicalIF":5.4000,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP04(2025)180.pdf","citationCount":"0","resultStr":"{\"title\":\"A \\\\( {\\\\mathbbm{CP}}^2 \\\\) SMEFT\",\"authors\":\"N. S. Manton\",\"doi\":\"10.1007/JHEP04(2025)180\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>An extension of the Standard Model is proposed, where the Higgs field is valued in the complex projective plane <span>\\\\( {\\\\mathbbm{CP}}^2 \\\\)</span>, rather than <i>ℂ</i><sup>2</sup>. Its geometry is consistent with U(2) ≃ (SU(2) × U(1))/<i>ℤ</i><sub>2</sub> electroweak gauge symmetry. The leading terms in the Lagrangian, beyond those of the Standard Model, are much more tightly constrained than in general SMEFTs, and the custodial SO(4) symmetry of the Higgs sector is mildly broken. The predicted tree-level deviations from Standard Model phenomenology depend on a single large mass parameter <i>M</i>. Current experimental data imply that <i>M</i> is a few TeV or larger.</p>\",\"PeriodicalId\":635,\"journal\":{\"name\":\"Journal of High Energy Physics\",\"volume\":\"2025 4\",\"pages\":\"\"},\"PeriodicalIF\":5.4000,\"publicationDate\":\"2025-04-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/JHEP04(2025)180.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of High Energy Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/JHEP04(2025)180\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of High Energy Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/JHEP04(2025)180","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
An extension of the Standard Model is proposed, where the Higgs field is valued in the complex projective plane \( {\mathbbm{CP}}^2 \), rather than ℂ2. Its geometry is consistent with U(2) ≃ (SU(2) × U(1))/ℤ2 electroweak gauge symmetry. The leading terms in the Lagrangian, beyond those of the Standard Model, are much more tightly constrained than in general SMEFTs, and the custodial SO(4) symmetry of the Higgs sector is mildly broken. The predicted tree-level deviations from Standard Model phenomenology depend on a single large mass parameter M. Current experimental data imply that M is a few TeV or larger.
期刊介绍:
The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal.
Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles.
JHEP presently encompasses the following areas of theoretical and experimental physics:
Collider Physics
Underground and Large Array Physics
Quantum Field Theory
Gauge Field Theories
Symmetries
String and Brane Theory
General Relativity and Gravitation
Supersymmetry
Mathematical Methods of Physics
Mostly Solvable Models
Astroparticles
Statistical Field Theories
Mostly Weak Interactions
Mostly Strong Interactions
Quantum Field Theory (phenomenology)
Strings and Branes
Phenomenological Aspects of Supersymmetry
Mostly Strong Interactions (phenomenology).