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

Abstract

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. As a result, 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.

Authors:
 [1];  [1];  [1]
  1. Univ. of California at San Diego, La Jolla, CA (United States). Dept. of Physics
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1503683
Grant/Contract Number:  
SC0009919
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Effective Field Theories; Renormalization Group

Citation Formats

Jenkins, Elizabeth E., Manohar, Aneesh V., and Stoffer, Peter. Low-energy effective field theory below the electroweak scale: anomalous dimensions. United States: N. p., 2018. Web. doi:10.1007/jhep01(2018)084.
Jenkins, Elizabeth E., Manohar, Aneesh V., & Stoffer, Peter. Low-energy effective field theory below the electroweak scale: anomalous dimensions. United States. doi:10.1007/jhep01(2018)084.
Jenkins, Elizabeth E., Manohar, Aneesh V., and Stoffer, Peter. Thu . "Low-energy effective field theory below the electroweak scale: anomalous dimensions". United States. doi:10.1007/jhep01(2018)084. https://www.osti.gov/servlets/purl/1503683.
@article{osti_1503683,
title = {Low-energy effective field theory below the electroweak scale: anomalous dimensions},
author = {Jenkins, Elizabeth E. and Manohar, Aneesh V. and Stoffer, Peter},
abstractNote = {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. As a result, 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.},
doi = {10.1007/jhep01(2018)084},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2018,
place = {United States},
year = {2018},
month = {1}
}

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