{"title":"NHDM 势中典型监护对称性的表征理论表征","authors":"","doi":"10.1016/j.nuclphysb.2024.116650","DOIUrl":null,"url":null,"abstract":"<div><p>By considering the basis-covariant constituents of <em>N</em>-Higgs-doublet potentials, we derive necessary and sufficient conditions for canonical <span><math><mrow><mi>SO</mi></mrow><msub><mrow><mo>(</mo><mn>4</mn><mo>)</mo></mrow><mrow><mi>C</mi></mrow></msub></math></span> Custodial Symmetry (CS) of potentials with <span><math><mi>N</mi><mo>></mo><mn>2</mn></math></span> doublets, based on representation-theoretical and geometrical relations. In essence, our characterization relates the presence of canonical CS to basis-covariant vectors corresponding to particular bases of the defining representation of the orthogonal Lie algebras. For <span><math><mi>N</mi><mo>=</mo><mn>3</mn><mo>,</mo><mn>4</mn></math></span> and 5, the conditions demand little computational effort to be evaluated, and we provide practical algorithms that may be efficiently implemented in a computer program, for deciding whether or not a potential is custodial-symmetric.</p></div>","PeriodicalId":54712,"journal":{"name":"Nuclear Physics B","volume":null,"pages":null},"PeriodicalIF":2.5000,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0550321324002165/pdfft?md5=f5ac78eaf6deb0a8b4241ee8d99235dd&pid=1-s2.0-S0550321324002165-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Representation-theoretical characterization of canonical custodial symmetry in NHDM potentials\",\"authors\":\"\",\"doi\":\"10.1016/j.nuclphysb.2024.116650\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>By considering the basis-covariant constituents of <em>N</em>-Higgs-doublet potentials, we derive necessary and sufficient conditions for canonical <span><math><mrow><mi>SO</mi></mrow><msub><mrow><mo>(</mo><mn>4</mn><mo>)</mo></mrow><mrow><mi>C</mi></mrow></msub></math></span> Custodial Symmetry (CS) of potentials with <span><math><mi>N</mi><mo>></mo><mn>2</mn></math></span> doublets, based on representation-theoretical and geometrical relations. In essence, our characterization relates the presence of canonical CS to basis-covariant vectors corresponding to particular bases of the defining representation of the orthogonal Lie algebras. For <span><math><mi>N</mi><mo>=</mo><mn>3</mn><mo>,</mo><mn>4</mn></math></span> and 5, the conditions demand little computational effort to be evaluated, and we provide practical algorithms that may be efficiently implemented in a computer program, for deciding whether or not a potential is custodial-symmetric.</p></div>\",\"PeriodicalId\":54712,\"journal\":{\"name\":\"Nuclear Physics B\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.5000,\"publicationDate\":\"2024-08-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0550321324002165/pdfft?md5=f5ac78eaf6deb0a8b4241ee8d99235dd&pid=1-s2.0-S0550321324002165-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nuclear Physics B\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0550321324002165\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, PARTICLES & FIELDS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Physics B","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0550321324002165","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
Representation-theoretical characterization of canonical custodial symmetry in NHDM potentials
By considering the basis-covariant constituents of N-Higgs-doublet potentials, we derive necessary and sufficient conditions for canonical Custodial Symmetry (CS) of potentials with doublets, based on representation-theoretical and geometrical relations. In essence, our characterization relates the presence of canonical CS to basis-covariant vectors corresponding to particular bases of the defining representation of the orthogonal Lie algebras. For and 5, the conditions demand little computational effort to be evaluated, and we provide practical algorithms that may be efficiently implemented in a computer program, for deciding whether or not a potential is custodial-symmetric.
期刊介绍:
Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.