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Low-energy effective field theory below the electroweak scale: anomalous dimensions

Jenkins, Elizabeth E. ; Manohar, Aneesh V. ; Stoffer, Peter

The journal of high energy physics, 2018-01, Vol.2018 (1), p.1-51, Article 84 [Peer Reviewed Journal]

Berlin/Heidelberg: Springer Berlin Heidelberg

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Title:
Low-energy effective field theory below the electroweak scale: anomalous dimensions
Author: Jenkins, Elizabeth E. ; Manohar, Aneesh V. ; Stoffer, Peter
Subjects: Baryons ; Classical and Quantum Gravitation ; Couplings ; Effective Field Theories ; Elementary Particles ; Energy ; Equations of motion ; Field theory ; High energy physics ; Leptons ; Mathematical analysis ; Operators ; Physics ; Physics and Astronomy ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; Quantum chromodynamics ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Quarks ; Regular Article - Theoretical Physics ; Relativity Theory ; Renormalization Group ; String Theory ; Symmetry
Is Part Of: The journal of high energy physics, 2018-01, Vol.2018 (1), p.1-51, Article 84
Notes: SC0009919
USDOE Office of Science (SC)
Description: A bstract We compute the one-loop anomalous dimensions of the low-energy effective Lagrangian below the electroweak scale, up to terms of dimension six. The theory has 70 dimension-five and 3631 dimension-six Hermitian operators that preserve baryon and lepton number, as well as additional operators that violate baryon number and lepton number. The renormalization group equations for the quark and lepton masses and the QCD and QED gauge couplings are modified by dimension-five and dimension-six operator contributions. We compute the renormalization group equations from one insertion of dimension-five and dimension-six operators, as well as two insertions of dimension-five operators, to all terms of dimension less than or equal to six. The use of the equations of motion to eliminate operators can be ambiguous, and we show how to resolve this ambiguity by a careful use of field redefinitions.
Publisher: Berlin/Heidelberg: Springer Berlin Heidelberg
Language: English

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Low-energy effective field theory below the electroweak scale: anomalous dimensions

Jenkins, Elizabeth E. ; Manohar, Aneesh V. ; Stoffer, Peter

Berlin/Heidelberg: Springer Berlin Heidelberg

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