Baryon number, lepton number, and operator dimension in the Standard Model
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 pro...
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| Format: | Article |
| Language: | English |
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Elsevier
2016-07-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269316301976 |
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doaj-3c4ffcbbf03a40cdbacf4db76ab5f8052020-11-24T23:21:56ZengElsevierPhysics Letters B0370-26931873-24452016-07-01758C45545710.1016/j.physletb.2016.05.050Baryon number, lepton number, and operator dimension in the Standard ModelAndrew KobachWe 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.http://www.sciencedirect.com/science/article/pii/S0370269316301976 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Andrew Kobach |
| spellingShingle |
Andrew Kobach Baryon number, lepton number, and operator dimension in the Standard Model Physics Letters B |
| author_facet |
Andrew Kobach |
| author_sort |
Andrew Kobach |
| title |
Baryon number, lepton number, and operator dimension in the Standard Model |
| title_short |
Baryon number, lepton number, and operator dimension in the Standard Model |
| title_full |
Baryon number, lepton number, and operator dimension in the Standard Model |
| title_fullStr |
Baryon number, lepton number, and operator dimension in the Standard Model |
| title_full_unstemmed |
Baryon number, lepton number, and operator dimension in the Standard Model |
| title_sort |
baryon number, lepton number, and operator dimension in the standard model |
| publisher |
Elsevier |
| series |
Physics Letters B |
| issn |
0370-2693 1873-2445 |
| publishDate |
2016-07-01 |
| description |
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. |
| url |
http://www.sciencedirect.com/science/article/pii/S0370269316301976 |
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AT andrewkobach baryonnumberleptonnumberandoperatordimensioninthestandardmodel |
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