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Title: Baryon number, lepton number, and operator dimension in the Standard Model

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.
Authors:
ORCiD logo [1]
  1. Univ. of California, San Diego, La Jolla, CA (United States). Dept. of Physics
Publication Date:
Grant/Contract Number:
SC0009919; de-sc0009919
Type:
Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 758; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Research Org:
Univ. of California, San Diego, La Jolla, CA (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; conservation
OSTI Identifier:
1253939
Alternate Identifier(s):
OSTI ID: 1285778

Kobach, Andrew. Baryon number, lepton number, and operator dimension in the Standard Model. United States: N. p., Web. doi:10.1016/j.physletb.2016.05.050.
Kobach, Andrew. Baryon number, lepton number, and operator dimension in the Standard Model. United States. doi:10.1016/j.physletb.2016.05.050.
Kobach, Andrew. 2016. "Baryon number, lepton number, and operator dimension in the Standard Model". United States. doi: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. Section B},
number = C,
volume = 758,
place = {United States},
year = {2016},
month = {5}
}