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Li, Hao-Lin; Ren, Zhe; Shu, Jing2; Xiao, Ming-Lei; Yu, Jiang-Hao; Zheng, Yu-Hui
Complete set of dimension-eight operators in the standard model effective field theory
Source PublicationPHYSICAL REVIEW D
Language英语
AbstractWe present a complete list of the dimension-eight operator basis in the standard model effective field theory using group theoretic techniques in a systematic and automated way. We adopt a new form of operators in terms of the irreducible representations of the Lorentz group and identify the Lorentz structures as states in a SU(N) group. In this way, redundancy from equations of motion is absent and that from integration by part is treated using the fact that the independent Lorentz basis forms an invariant subspace of the SU(N) group. We also decompose operators into the ones with definite permutation symmetries among flavor indices to deal with subtlety from repeated fields. For the first time to our knowledge, we provide the explicit form of independent flavor-specified operators in a systematic way. Our algorithm can easily be applied to higher-dimensional standard model effective field theory and other effective field theories, making these studies more approachable.
2021
ISSN2470-0010
Volume104Issue:1Pages:15026
Cooperation Status国内
Subject AreaAstronomy & Astrophysics ; Physics
MOST Discipline CatalogueAstronomy & Astrophysics ; Physics, Particles & Fields
DOI10.1103/PhysRevD.104.015026
Indexed BySCIE
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/27288
CollectionSCI期刊论文
Affiliation1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China
3.CAS Ctr Excellence Particle Phys, Beijing 100049, Peoples R China
4.Peking Univ, Ctr High Energy Phys, Beijing 100871, Peoples R China
5.Univ Chinese Acad Sci, Sch Fundamental Phys & Math Sci, Hangzhou Inst Adv Study, Hangzhou 310024, Peoples R China
6.Int Ctr Theoret Phys Asia Pacific, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Li, Hao-Lin,Ren, Zhe,Shu, Jing,et al. Complete set of dimension-eight operators in the standard model effective field theory[J]. PHYSICAL REVIEW D,2021,104(1):15026.
APA Li, Hao-Lin,Ren, Zhe,Shu, Jing,Xiao, Ming-Lei,Yu, Jiang-Hao,&Zheng, Yu-Hui.(2021).Complete set of dimension-eight operators in the standard model effective field theory.PHYSICAL REVIEW D,104(1),15026.
MLA Li, Hao-Lin,et al."Complete set of dimension-eight operators in the standard model effective field theory".PHYSICAL REVIEW D 104.1(2021):15026.
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