Baryon number, lepton number, and operator dimension in the Standard Model
Abstract
In this study, we prove that for a given operator in the Standard Model (SM) with baryon number ΔB and lepton number ΔL, that the operator's dimension is even (odd) if (ΔB - ΔL)/2 is even (odd). Consequently, this establishes the veracity of statements that were long observed or expected to be true, but not proven, e.g., operators with ΔB - ΔL = 0 are of even dimension, ΔB - ΔL must be an even number, etc. These results remain true even if the SM is augmented by any number of right-handed neutrinos with ΔL = 1.
- Publication Date:
- Research Org.:
- Univ. of California, San Diego, La Jolla, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1253939
- Alternate Identifier(s):
- OSTI ID: 1285778
- Grant/Contract Number:
- de-sc0009919; SC0009919
- Resource Type:
- Published Article
- Journal Name:
- Physics Letters B
- Additional Journal Information:
- Journal Name: Physics Letters B Journal Volume: 758 Journal Issue: C; Journal ID: ISSN 0370-2693
- Publisher:
- Elsevier
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; conservation
Citation Formats
Kobach, Andrew. Baryon number, lepton number, and operator dimension in the Standard Model. Netherlands: N. p., 2016.
Web. doi:10.1016/j.physletb.2016.05.050.
Kobach, Andrew. Baryon number, lepton number, and operator dimension in the Standard Model. Netherlands. https://doi.org/10.1016/j.physletb.2016.05.050
Kobach, Andrew. Fri .
"Baryon number, lepton number, and operator dimension in the Standard Model". Netherlands. https://doi.org/10.1016/j.physletb.2016.05.050.
@article{osti_1253939,
title = {Baryon number, lepton number, and operator dimension in the Standard Model},
author = {Kobach, Andrew},
abstractNote = {In this study, we prove that for a given operator in the Standard Model (SM) with baryon number ΔB and lepton number ΔL, that the operator's dimension is even (odd) if (ΔB - ΔL)/2 is even (odd). Consequently, this establishes the veracity of statements that were long observed or expected to be true, but not proven, e.g., operators with ΔB - ΔL = 0 are of even dimension, ΔB - ΔL must be an even number, etc. These results remain true even if the SM is augmented by any number of right-handed neutrinos with ΔL = 1.},
doi = {10.1016/j.physletb.2016.05.050},
journal = {Physics Letters B},
number = C,
volume = 758,
place = {Netherlands},
year = {Fri Jul 01 00:00:00 EDT 2016},
month = {Fri Jul 01 00:00:00 EDT 2016}
}
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https://doi.org/10.1016/j.physletb.2016.05.050
https://doi.org/10.1016/j.physletb.2016.05.050
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