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Naturally small Dirac neutrino mass and $B-L$ dark matter
In the conventional gauged ${B-L}$ extension of the standard model, the $B-L$ charge of the singlet scalar $χ$, responsible for the breaking of $U(1)_{B-L}$ symmetry, is taken to be 2 such that it can anchor type-I seesaw by giving Majorana masses to the right-handed neutrinos, $ν_R$. In this paper,
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