PHYSICAL REVIEW D 92, 055026 (2015)

ISSN: 1550-7998, SCI

Unifying the electroweak and B − L interactions

P. V. Dong

We argue that the gauge symmetry which includes SUð3ÞL as a higher weak-isospin symmetry is manifestly given by SUð3ÞC ⊗ SUð3ÞL ⊗ Uð1ÞX ⊗ Uð1ÞN, where the last two factors determine the electric charge and B − L, respectively. This theory not only provides a consistent unification of the electroweak and B − L interactions, but also gives insights in dark matter, neutrino masses, and inflation. The dark matter belongs to a class of new particles that have wrong B − L numbers, and is stabilized due to a newly realized W-parity as residual gauge symmetry. The B − L breaking field is important to define the W-parity, seesaw scales, and the inflaton. Furthermore, the number of fermion generations and the electric charge quantization are explained naturally. We also show that the previous 3-3-1 models are only an effective theory, as the B − L charge and the unitarity argument are violated. This work substantially generalizes our recently proposed 3-3-1-1 model.

DOI: 10.1103/PhysRevD.92.055026

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