Low-energy effective field theory below the electroweak scale: operators and matching
Abstract
The gauge-invariant operators up to dimension six in the low-energy effective field theory below the electroweak scale are classified. There are 70 Hermitian dimension-five and 3631 Hermitian dimension-six operators that conserve baryon and lepton number, as well as ΔB = ±ΔL = ±1, ΔL = ±2, and ΔL = ±4 operators. The matching onto these operators from the Standard Model Effective Field Theory (SMEFT) up to order 1/Λ2 is computed at tree level. SMEFT imposes constraints on the coefficients of the low-energy effective theory, which can be checked experimentally to determine whether the electroweak gauge symmetry is broken by a single fundamental scalar doublet as in SMEFT. Furthermore our results, when combined with the one-loop anomalous dimensions of the low-energy theory and the one-loop anomalous dimensions of SMEFT, allow one to compute the low-energy implications of new physics to leading-log accuracy, and combine them consistently with high-energy LHC constraints.
- Authors:
-
- 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:
- 1503685
- 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: 3; 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: operators and matching. United States: N. p., 2018.
Web. doi:10.1007/jhep03(2018)016.
Jenkins, Elizabeth E., Manohar, Aneesh V., & Stoffer, Peter. Low-energy effective field theory below the electroweak scale: operators and matching. United States. https://doi.org/10.1007/jhep03(2018)016
Jenkins, Elizabeth E., Manohar, Aneesh V., and Stoffer, Peter. Tue .
"Low-energy effective field theory below the electroweak scale: operators and matching". United States. https://doi.org/10.1007/jhep03(2018)016. https://www.osti.gov/servlets/purl/1503685.
@article{osti_1503685,
title = {Low-energy effective field theory below the electroweak scale: operators and matching},
author = {Jenkins, Elizabeth E. and Manohar, Aneesh V. and Stoffer, Peter},
abstractNote = {The gauge-invariant operators up to dimension six in the low-energy effective field theory below the electroweak scale are classified. There are 70 Hermitian dimension-five and 3631 Hermitian dimension-six operators that conserve baryon and lepton number, as well as ΔB = ±ΔL = ±1, ΔL = ±2, and ΔL = ±4 operators. The matching onto these operators from the Standard Model Effective Field Theory (SMEFT) up to order 1/Λ2 is computed at tree level. SMEFT imposes constraints on the coefficients of the low-energy effective theory, which can be checked experimentally to determine whether the electroweak gauge symmetry is broken by a single fundamental scalar doublet as in SMEFT. Furthermore our results, when combined with the one-loop anomalous dimensions of the low-energy theory and the one-loop anomalous dimensions of SMEFT, allow one to compute the low-energy implications of new physics to leading-log accuracy, and combine them consistently with high-energy LHC constraints.},
doi = {10.1007/jhep03(2018)016},
journal = {Journal of High Energy Physics (Online)},
number = 3,
volume = 2018,
place = {United States},
year = {Tue Mar 06 00:00:00 EST 2018},
month = {Tue Mar 06 00:00:00 EST 2018}
}
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