{"title":"探索SMEFT及以后的阿贝尔-非阿贝尔动力学混合","authors":"Van Que Tran, Tzu-Chiang Yuan","doi":"10.1103/physrevd.111.013001","DOIUrl":null,"url":null,"abstract":"We explore a novel scenario involving Abelian–non-Abelian kinetic mixing within the framework of the Standard Model effective field theory (SMEFT) and its extension with a real triplet scalar field. In SMEFT, this mixing arises exclusively from a dimension-6 operator involving the Standard Model Higgs doublet, while the real triplet scalar field introduces an additional dimension-5 operator. We derive the modifications to electroweak gauge boson properties and impose constraints using electroweak precision data. In SMEFT, we find that Z</a:mi></a:math>-pole data at the Large Electron–Positron Collider imposes a stringent constraint on the kinetic mixing parameter, requiring it to be less than <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><c:mi mathvariant=\"script\">O</c:mi><c:mo stretchy=\"false\">(</c:mo><c:msup><c:mn>10</c:mn><c:mrow><c:mo>−</c:mo><c:mn>4</c:mn></c:mrow></c:msup></c:math>), which corresponds to a new physics scale of about 10 TeV. In the <g:math xmlns:g=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><g:mrow><g:mi>SMEFT</g:mi><g:mo>+</g:mo><g:mi>triplet</g:mi></g:mrow></g:math> scenario, the constraint can be significantly relaxed with a sizeable triplet vacuum expectation value while preserving custodial symmetry in a finely tuned parameter space. Future measurements from the Circular Electron Positron Collider could probe the kinetic mixing parameter down to an order of magnitude smaller. Constraints from the Higgs signal strength data, <i:math xmlns:i=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><i:msub><i:mi>B</i:mi><i:mi>s</i:mi></i:msub><i:mo stretchy=\"false\">→</i:mo><i:msup><i:mi>μ</i:mi><i:mo>+</i:mo></i:msup><i:msup><i:mi>μ</i:mi><i:mo>−</i:mo></i:msup></i:math>, and muon (<l:math xmlns:l=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><l:mrow><l:mi>g</l:mi><l:mo>−</l:mo><l:mn>2</l:mn></l:mrow></l:math>) are also discussed. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>","PeriodicalId":20167,"journal":{"name":"Physical Review D","volume":"77 1","pages":""},"PeriodicalIF":5.3000,"publicationDate":"2025-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Exploring Abelian–non-Abelian kinetic mixing in SMEFT and beyond\",\"authors\":\"Van Que Tran, Tzu-Chiang Yuan\",\"doi\":\"10.1103/physrevd.111.013001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We explore a novel scenario involving Abelian–non-Abelian kinetic mixing within the framework of the Standard Model effective field theory (SMEFT) and its extension with a real triplet scalar field. In SMEFT, this mixing arises exclusively from a dimension-6 operator involving the Standard Model Higgs doublet, while the real triplet scalar field introduces an additional dimension-5 operator. We derive the modifications to electroweak gauge boson properties and impose constraints using electroweak precision data. In SMEFT, we find that Z</a:mi></a:math>-pole data at the Large Electron–Positron Collider imposes a stringent constraint on the kinetic mixing parameter, requiring it to be less than <c:math xmlns:c=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><c:mi mathvariant=\\\"script\\\">O</c:mi><c:mo stretchy=\\\"false\\\">(</c:mo><c:msup><c:mn>10</c:mn><c:mrow><c:mo>−</c:mo><c:mn>4</c:mn></c:mrow></c:msup></c:math>), which corresponds to a new physics scale of about 10 TeV. In the <g:math xmlns:g=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><g:mrow><g:mi>SMEFT</g:mi><g:mo>+</g:mo><g:mi>triplet</g:mi></g:mrow></g:math> scenario, the constraint can be significantly relaxed with a sizeable triplet vacuum expectation value while preserving custodial symmetry in a finely tuned parameter space. Future measurements from the Circular Electron Positron Collider could probe the kinetic mixing parameter down to an order of magnitude smaller. Constraints from the Higgs signal strength data, <i:math xmlns:i=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><i:msub><i:mi>B</i:mi><i:mi>s</i:mi></i:msub><i:mo stretchy=\\\"false\\\">→</i:mo><i:msup><i:mi>μ</i:mi><i:mo>+</i:mo></i:msup><i:msup><i:mi>μ</i:mi><i:mo>−</i:mo></i:msup></i:math>, and muon (<l:math xmlns:l=\\\"http://www.w3.org/1998/Math/MathML\\\" display=\\\"inline\\\"><l:mrow><l:mi>g</l:mi><l:mo>−</l:mo><l:mn>2</l:mn></l:mrow></l:math>) are also discussed. <jats:supplementary-material> <jats:copyright-statement>Published by the American Physical Society</jats:copyright-statement> <jats:copyright-year>2025</jats:copyright-year> </jats:permissions> </jats:supplementary-material>\",\"PeriodicalId\":20167,\"journal\":{\"name\":\"Physical Review D\",\"volume\":\"77 1\",\"pages\":\"\"},\"PeriodicalIF\":5.3000,\"publicationDate\":\"2025-01-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical Review D\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1103/physrevd.111.013001\",\"RegionNum\":2,\"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":"Physical Review D","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevd.111.013001","RegionNum":2,"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}
Exploring Abelian–non-Abelian kinetic mixing in SMEFT and beyond
We explore a novel scenario involving Abelian–non-Abelian kinetic mixing within the framework of the Standard Model effective field theory (SMEFT) and its extension with a real triplet scalar field. In SMEFT, this mixing arises exclusively from a dimension-6 operator involving the Standard Model Higgs doublet, while the real triplet scalar field introduces an additional dimension-5 operator. We derive the modifications to electroweak gauge boson properties and impose constraints using electroweak precision data. In SMEFT, we find that Z-pole data at the Large Electron–Positron Collider imposes a stringent constraint on the kinetic mixing parameter, requiring it to be less than O(10−4), which corresponds to a new physics scale of about 10 TeV. In the SMEFT+triplet scenario, the constraint can be significantly relaxed with a sizeable triplet vacuum expectation value while preserving custodial symmetry in a finely tuned parameter space. Future measurements from the Circular Electron Positron Collider could probe the kinetic mixing parameter down to an order of magnitude smaller. Constraints from the Higgs signal strength data, Bs→μ+μ−, and muon (g−2) are also discussed. Published by the American Physical Society2025
期刊介绍:
Physical Review D (PRD) is a leading journal in elementary particle physics, field theory, gravitation, and cosmology and is one of the top-cited journals in high-energy physics.
PRD covers experimental and theoretical results in all aspects of particle physics, field theory, gravitation and cosmology, including:
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Electroweak interactions,
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Lattice field theories, lattice QCD,
Beyond the standard model physics,
Phenomenological aspects of field theory, general methods,
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Astrophysics and astroparticle physics,
General relativity,
Formal aspects of field theory, field theory in curved space,
String theory, quantum gravity, gauge/gravity duality.