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Neutrino mass and dark matter from gauged<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mrow><mml:mi>B</mml:mi><mml:mo>โ</mml:mo><mml:mi>L</mml:mi></mml:mrow></mml:msub></mml:math>breaking
We propose a new model where the Dirac mass term for neutrinos, the Majorana mass term for right-handed neutrinos, and the other new fermion masses arise via the spontaneous breakdown of the $\mathrm{U}(1{)}_{\mathrm{B}\ensuremath{-}\mathrm{L}}$ gauge symmetry. The anomaly-free condition gives four sets of assignment of the $\mathrm{B}\ensuremath{-}\mathrm{L}$ charge to new particles, โฆ