Operators for generic effective field theory at any dimension: on-shell amplitude basis construction
文献类型：期刊论文
| 作者 | Li, Hao-Lin; Ren, Zhe; Xiao, Ming-Lei; Yu, Jiang-Hao ; Zheng, Yu-Hui
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| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
 |
| 出版日期 | 2022 |
| 期号 | 4页码:140 |
| ISSN号 | 1029-8479 |
| DOI | 10.1007/JHEP04(2022)140 |
| 英文摘要 | We describe a general procedure to construct the independent and complete operator bases for generic Lorentz invariant effective field theories, given any kind of gauge symmetry and field content, up to any mass dimension. By considering the operator as contact on-shell amplitude, the so-called amplitude operator correspondence, we provide a unified construction of the Lorentz and gauge and flavor structures by Young Tableau tensor. Several bases are constructed to emphasize different aspects: independence (y-basis and m-basis), repeated fields with flavors (p-basis and f-basis), and conserved quantum numbers (j-basis). We also provide new algorithms for finding the m-basis by defining inner products for group factors and the p-basis by constructing the matrix representations of the Young symmetrizers from group generators. The on-shell amplitude basis gives us a systematic way to convert any operator into such basis, so that the conversions between any other operator bases can be easily done by linear algebra. All of these are implemented in a Mathematica package: ABC4EFT (Amplitude Basis Construction for Effective Field Theories). |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/27817]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 作者单位 | 1.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China 2.[Li, Hao-Lin 3.Ren, Zhe 4.Xiao, Ming-Lei 5.Yu, Jiang-Hao 6.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 7.[Ren, Zhe 8.Univ Chinese Acad Sci, Sch Phys Sci, Beijing 100049, Peoples R China 9.Catholic Univ Louvain, Ctr Cosmol Particle Phys & Phenomenol CP3, Chem Cyclotron 2, B-1348 Louvain La Neuve, Belgium 10.Northwestern Univ, Dept Phys & Astron, Evanston, IL 60208 USA |
| 推荐引用方式 GB/T 7714 | Li, Hao-Lin,Ren, Zhe,Xiao, Ming-Lei,et al. Operators for generic effective field theory at any dimension: on-shell amplitude basis construction[J]. JOURNAL OF HIGH ENERGY PHYSICS,2022(4):140. |
| APA | Li, Hao-Lin,Ren, Zhe,Xiao, Ming-Lei,Yu, Jiang-Hao,&Zheng, Yu-Hui.(2022).Operators for generic effective field theory at any dimension: on-shell amplitude basis construction.JOURNAL OF HIGH ENERGY PHYSICS(4),140. |
| MLA | Li, Hao-Lin,et al."Operators for generic effective field theory at any dimension: on-shell amplitude basis construction".JOURNAL OF HIGH ENERGY PHYSICS .4(2022):140. |
入库方式： OAI收割
来源：理论物理研究所
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