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

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

doi:10.1007/jhep01(2018)084

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

Journal Article · 18 January 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep01(2018)084 · OSTI ID:1503683

Jenkins, Elizabeth E. ^[1]; Manohar, Aneesh V. ^[2]; Stoffer, Peter ^[2]

Univ. of California at San Diego, La Jolla, CA (United States). Dept. of Physics; Univ. of California, San Diego (United States)
Univ. of California at San Diego, La Jolla, CA (United States). Dept. of Physics

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.

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Research Organization:: Univ. of California, San Diego, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009919

OSTI ID:: 1503683

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Integrating out heavy particles with functional methods: a simplified framework Fuentes-Martin, Javier; Portoles, Jorge; Ruiz-Femenia, Pedro arXiv https://doi.org/10.48550/arxiv.1607.02142	text	January 2016
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