Low energy effective field theory operator basis at d ≤ 9

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...

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Main Authors: Hao-Lin Li, Zhe Ren, Ming-Lei Xiao, Jiang-Hao Yu, Yu-Hui Zheng
Format: Article
Language:English
Published: SpringerOpen 2021-06-01
Series:Journal of High Energy Physics
Subjects:
Beyond Standard Model
Effective Field Theories
Online Access:https://doi.org/10.1007/JHEP06(2021)138
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spelling doaj-bce624a419a548898a1d794c6acedf812021-06-27T11:06:49ZengSpringerOpenJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Hao-Lin Li
Zhe Ren
Ming-Lei Xiao
Jiang-Hao Yu
Yu-Hui Zheng
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
author_facet Hao-Lin Li
Zhe Ren
Ming-Lei Xiao
Jiang-Hao Yu
Yu-Hui Zheng
author_sort Hao-Lin Li
title Low energy effective field theory operator basis at d ≤ 9
title_short 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_sort low energy effective field theory operator basis at d ≤ 9
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2021-06-01
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.
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
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