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One-loop neutrino mass in SU(5)

I demonstrate viability of the one-loop neutrino mass mechanism within the SU(5)grand unification framework when the loop particles comprise two particular pairs of scalar leptoquarks (LQs) and the down-type quarks. The LQ multiplet components that propagate in the loop should mix for the mechanism to work. I accordingly classify all SU(5) invariant operators that can yield the required mixing. If the LQs mediate proton decay at the tree-level the neutrino mass mechanism can only be viable when the LQ masses reside in a very narrow range between 10^{;12}; GeV and 5×10^{;13}; GeV. I also present one realistic SU(5) set-up where the LQs in the neutrino mass loop are collider accessible.

Neutrino mass, SU(5)

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