skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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/Λ 2 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:
 [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:
1503685
Grant/Contract Number:  
SC0009919
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
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. doi: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. doi: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)},
issn = {1029-8479},
number = 3,
volume = 2018,
place = {United States},
year = {2018},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Save / Share: