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SU(5) Completion of the Dark Scalar Doublet Model of Radiative Neutrino Mass

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Adding a second scalar doublet (eta^+,eta^0) and three neutral singlet fermions N_{1,2,3} to the Standard Model of particle interactions with a new Z_2 symmetry, it has been shown that eta^0_R or eta^0_I is a good dark-matter candidate and seesaw neutrino masses are generated radiatively. A minimal extension of this new idea is proposed to allow for its SU(5) completion. Supersymmetric unification is then possible, and leptoquarks of a special kind are predicted at the TeV scale.

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    In the Majorana and Dirac scotogenic models, the 3-body tau decay τ→3μ can reach branching ratios of about 10^-10 and 10^-11 respectively, after muon constraints and perturbativity are imposed.