Low energy effective field theory operator basis at d ≤ 9

A bstract 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, integ...

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Bibliographic Details
Published in:The journal of high energy physics 2021-06, Vol.2021 (6), p.1-163, Article 138
Main Authors: Li, Hao-Lin, Ren, Zhe, Xiao, Ming-Lei, Yu, Jiang-Hao, Zheng, Yu-Hui
Format: Article
Language:English
Subjects:
Algorithms
Beyond Standard Model
Classical and Quantum Gravitation
Effective Field Theories
Elementary Particles
Energy
Equations of motion
Fermions
Field theory
Flavor (particle physics)
High energy physics
Leptons
Operators
Physics
Physics and Astronomy
Quantum chromodynamics
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quarks
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Theoretical physics
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP06(2021)138