Published 2017 | Version v1
Journal article Metadata-only

2, 84, 30, 993, 560, 15456, 11962, 261485, . . .: higher dimension operators in the SM EFT

Creators

  • 1. Yale University, New Haven, CT (United States). Dept. of Physics
  • 2. University of California, Davis, CA (United States). Dept. of Physics
  • 3. Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Theoretical Physics Group
  • 4. University of California, Berkeley, CA (United States). Dept. of Physics

Description

In a companion paper, we show that operator bases for general effective field theories are controlled by the conformal algebra. Equations of motion and integration by parts identities can be systematically treated by organizing operators into irreducible representations of the conformal group. In the present work, we use this result to study the standard model effective field theory (SM EFT), determining the content and number of higher dimension operators up to dimension 12, for an arbitrary number of fermion generations. We find additional operators to those that have appeared in the literature at dimension 7 (specifically in the case of more than one fermion generation) and at dimension 8. (The title sequence is the total number of independent operators in the SM EFT with one fermion generation, including hermitian conjugates, ordered in mass dimension, starting at dimension 5.)

Availability note (English)

Available from http://www.osti.gov/pages/servlets/purl/1417599; http://www.osti.gov/pages/biblio/1417599; DOE Accepted Manuscript full text, or the publishers Best Available Version will be available free of charge after the embargo period

Additional details

Identifiers

DOI
10.1007/JHEP08(2017)016;
arXiv
arXiv:1706.04260v2;

Publishing Information

Journal Title
Journal of High Energy Physics (Online)
Journal Volume
2017
Journal Issue
8
Journal Page Range
vp.
ISSN
1029-8479

INIS

Country of Publication
Germany
Country of Input or Organization
United States
INIS RN
49062678
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
CONFORMAL GROUPS; CONFORMAL INVARIANCE; EQUATIONS OF MOTION; FERMIONS; FIELD OPERATORS; IRREDUCIBLE REPRESENTATIONS; REST MASS; STANDARD MODEL
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD THEORIES; GRAND UNIFIED THEORY; INVARIANCE PRINCIPLES; LIE GROUPS; MASS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLE MODELS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SYMMETRY GROUPS; UNIFIED GAUGE MODELS

Optional Information

Contract/Grant/Project number
AC02-05CH11231; FG02-92ER40704; SC0009999; PHY-1316783; PHY-1638509; 291377; 26400241; 17K05409; 15H05887; 15K21733
Funding organization
USDOE Office of Science - SC, High Energy Physics (HEP) (SC-25) (United States); National Science Foundation (NSF) (United States); European Research Council (ERC) (European Commission (EC)); Japan Society for the Promotion of Science (JSPS) (Japan); Ministry of Education, Culture, Sports, Science and Technology (MEXT) (Japan)
Secondary number(s)
OSTIID--1417599