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TeV-scale seesaw model with a loop-induced Dirac mass term and dark matter from<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 mathvariant="normal">B</mml:mi><mml:mo>โ</mml:mo><mml:mi mathvariant="normal">L</mml:mi></mml:mrow></mml:msub></mml:math>gauge symmetry breaking
We show a TeV-scale seesaw model where Majorana neutrino masses, the dark matter mass, and stability of the dark matter can be all originated from the $U(1{)}_{\mathrm{B}\ensuremath{-}\mathrm{L}}$ gauge symmetry. Dirac mass terms for neutrinos are forbidden at the tree level by $U(1{)}_{\mathrm{B}\ensuremath{-}\mathrm{L}}$, and they are induced at the one-loop level โฆ