Low energy effective field theory operator basis at d ≤ 9
Abstract We obtain the complete operator bases at mass dimensions 5, 6, 7, 8, 9 for the low energy effective field theory (LEFT), which parametrize various physics effects between the QCD scale and the electroweak scale. The independence of the operator basis regarding the equation of motion, integr...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2021)138 |
| _version_ | 1818612560662888448 |
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| author | Hao-Lin Li Zhe Ren Ming-Lei Xiao Jiang-Hao Yu Yu-Hui Zheng |
| author_facet | Hao-Lin Li Zhe Ren Ming-Lei Xiao Jiang-Hao Yu Yu-Hui Zheng |
| author_sort | Hao-Lin Li |
| collection | DOAJ |
| description | Abstract We obtain the complete operator bases at mass dimensions 5, 6, 7, 8, 9 for the low energy effective field theory (LEFT), which parametrize various physics effects between the QCD scale and the electroweak scale. The independence of the operator basis regarding the equation of motion, integration by parts and flavor relations, is guaranteed by our algorithm [1, 2], whose validity for the LEFT with massive fermions involved is proved by a generalization of the amplitude-operator correspondence. At dimension 8 and 9, we list the 35058 (756) and 704584 (3686) operators for three (one) generations of fermions categorized by their baryon and lepton number violations (∆B, ∆L), as these operators are of most phenomenological relevance. |
| first_indexed | 2024-12-16T15:48:10Z |
| format | Article |
| id | doaj.art-bce624a419a548898a1d794c6acedf81 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-16T15:48:10Z |
| publishDate | 2021-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-bce624a419a548898a1d794c6acedf812022-12-21T22:25:45ZengSpringerOpenJournal of High Energy Physics1029-84792021-06-0120216116310.1007/JHEP06(2021)138Low energy effective field theory operator basis at d ≤ 9Hao-Lin Li0Zhe Ren1Ming-Lei Xiao2Jiang-Hao Yu3Yu-Hui Zheng4CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesAbstract We obtain the complete operator bases at mass dimensions 5, 6, 7, 8, 9 for the low energy effective field theory (LEFT), which parametrize various physics effects between the QCD scale and the electroweak scale. The independence of the operator basis regarding the equation of motion, integration by parts and flavor relations, is guaranteed by our algorithm [1, 2], whose validity for the LEFT with massive fermions involved is proved by a generalization of the amplitude-operator correspondence. At dimension 8 and 9, we list the 35058 (756) and 704584 (3686) operators for three (one) generations of fermions categorized by their baryon and lepton number violations (∆B, ∆L), as these operators are of most phenomenological relevance.https://doi.org/10.1007/JHEP06(2021)138Beyond Standard ModelEffective Field Theories |
| spellingShingle | Hao-Lin Li Zhe Ren Ming-Lei Xiao Jiang-Hao Yu Yu-Hui Zheng Low energy effective field theory operator basis at d ≤ 9 Journal of High Energy Physics Beyond Standard Model Effective Field Theories |
| title | Low energy effective field theory operator basis at d ≤ 9 |
| title_full | Low energy effective field theory operator basis at d ≤ 9 |
| title_fullStr | Low energy effective field theory operator basis at d ≤ 9 |
| title_full_unstemmed | Low energy effective field theory operator basis at d ≤ 9 |
| title_short | Low energy effective field theory operator basis at d ≤ 9 |
| title_sort | low energy effective field theory operator basis at d ≤ 9 |
| topic | Beyond Standard Model Effective Field Theories |
| url | https://doi.org/10.1007/JHEP06(2021)138 |
| work_keys_str_mv | AT haolinli lowenergyeffectivefieldtheoryoperatorbasisatd9 AT zheren lowenergyeffectivefieldtheoryoperatorbasisatd9 AT mingleixiao lowenergyeffectivefieldtheoryoperatorbasisatd9 AT jianghaoyu lowenergyeffectivefieldtheoryoperatorbasisatd9 AT yuhuizheng lowenergyeffectivefieldtheoryoperatorbasisatd9 |