Gauging U(1) symmetries and the number of right-handed neutrinos

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Published version in PLB format

Scientific paper

10.1016/j.physletb.2009.03.065

In this letter we consider that assuming: a) that the only left-handed neutral fermions are the active neutrinos, b) that $B-L$ is a gauge symmetry, and c) that the $L$ assignment is restricted to the integer numbers, the anomaly cancellation imply that at least three right-handed neutrinos must be added to the minimal representation content of the electroweak standard model. However, two types of models arise: i) the usual one where each of the three identical right-handed neutrinos has total lepton number L=1; ii) and the other one in which two of them carry L=4 while the third one carries $L=-5$.

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