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 |
| Summary: | 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. |
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| ISSN: | 0370-2693 1873-2445 |