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arXiv · 1604.05726

Baryon Number, Lepton Number, and Operator Dimension in the Standard Model

Andrew Kobach
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Abstract

We prove that for a given operator in the Standard Model (SM) with baryon number B and lepton number L, that the operator's dimension is even (odd) if (B-L)/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 B-L=0 are of even dimension, B-L must be an even number, etc. These results remain true even if the SM is augmented by any number of right-handed neutrinos with L=1.

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Andrew Kobach. 2016-04-19. Baryon Number, Lepton Number, and Operator Dimension in the Standard Model. https://doi.org/10.1016/j.physletb.2016.05.050

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