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Title: How to use the Standard Model effective field theory

Abstract

Here, we present a practical three-step procedure of using the Standard Model effective field theory (SM EFT) to connect ultraviolet (UV) models of new physics with weak scale precision observables. With this procedure, one can interpret precision measurements as constraints on a given UV model. We give a detailed explanation for calculating the effective action up to one-loop order in a manifestly gauge covariant fashion. This covariant derivative expansion method dramatically simplifies the process of matching a UV model with the SM EFT, and also makes available a universal formalism that is easy to use for a variety of UV models. A few general aspects of RG running effects and choosing operator bases are discussed. Finally, we provide mapping results between the bosonic sector of the SM EFT and a complete set of precision electroweak and Higgs observables to which present and near future experiments are sensitive. Many results and tools which should prove useful to those wishing to use the SM EFT are detailed in several appendices.

Authors:
 [1];  [1];  [2]
  1. Univ. of California, Berkeley, CA (United States). Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group
  2. Univ. of California, Berkeley, CA (United States). Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group; Univ. of Tokyo (Japan). Kavli Inst. for the Physics and Mathematics of the Universe (WPI), Todai Inst. for Advanced Study
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Science Foundation (NSF); Japan Society for the Promotion of Science (JSPS)
OSTI Identifier:
1415951
Grant/Contract Number:  
AC02-05CH11231; AC03-76SF00098; PHY-1002399; PHY-1316783; 23540289
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: 2016; 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; Beyond Standard Model; Gauge Symmetry

Citation Formats

Henning, Brian, Lu, Xiaochuan, and Murayama, Hitoshi. How to use the Standard Model effective field theory. United States: N. p., 2016. Web. doi:10.1007/JHEP01(2016)023.
Henning, Brian, Lu, Xiaochuan, & Murayama, Hitoshi. How to use the Standard Model effective field theory. United States. https://doi.org/10.1007/JHEP01(2016)023
Henning, Brian, Lu, Xiaochuan, and Murayama, Hitoshi. Wed . "How to use the Standard Model effective field theory". United States. https://doi.org/10.1007/JHEP01(2016)023. https://www.osti.gov/servlets/purl/1415951.
@article{osti_1415951,
title = {How to use the Standard Model effective field theory},
author = {Henning, Brian and Lu, Xiaochuan and Murayama, Hitoshi},
abstractNote = {Here, we present a practical three-step procedure of using the Standard Model effective field theory (SM EFT) to connect ultraviolet (UV) models of new physics with weak scale precision observables. With this procedure, one can interpret precision measurements as constraints on a given UV model. We give a detailed explanation for calculating the effective action up to one-loop order in a manifestly gauge covariant fashion. This covariant derivative expansion method dramatically simplifies the process of matching a UV model with the SM EFT, and also makes available a universal formalism that is easy to use for a variety of UV models. A few general aspects of RG running effects and choosing operator bases are discussed. Finally, we provide mapping results between the bosonic sector of the SM EFT and a complete set of precision electroweak and Higgs observables to which present and near future experiments are sensitive. Many results and tools which should prove useful to those wishing to use the SM EFT are detailed in several appendices.},
doi = {10.1007/JHEP01(2016)023},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2016,
place = {United States},
year = {2016},
month = {1}
}

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