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

Abstract

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 $L=-5$.

Published version in PLB format

References in corpus (11)

• Gauge Singlet Scalars as Cold Dark Matter
• The oblique parameters in multi-Higgs-doublet models
• A precision constraint on multi-Higgs-doublet models
• Signatures for Majorana neutrinos at hadron colliders
• Sterile neutrino oscillations after first MiniBooNE results
• Natural Dark Matter from an Unnatural Higgs Boson and New Colored Particles at the TeV Scale
• Low scale B-L extension of the Standard Model at the LHC
• Resonant CP Violation due to Heavy Neutrinos at the LHC
• $B_s-{\bar{B}}_s$ Mixing constraints on FCNC and a non-universal $Z^{\prime }$
• The minimal non-minimal standard model
• Signature of heavy Majorana neutrinos at a linear collider: Enhanced charged Higgs pair production

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