Abstract
By combining the simplest (3,1) version of the seesaw mechanism containing a single heavy “right-handed” neutrino with the minimal scotogenic approach to dark matter, we propose a theory for neutrino oscillations. The “atmospheric” mass scale arises at tree level from the seesaw, while the “solar” oscillation scale emerges radiatively, through a loop involving the “dark sector” exchange. Such simple setup gives a clear interpretation of the neutrino oscillation lengths, has a viable WIMP dark matter candidate, and implies a lower bound on the neutrinoless double beta decay rate.
Highlights
The only neutrino mass parameters which have been experimentally measured are the two mass square splittings associated with the “atmospheric” and “solar” neutrino oscillations [1,2]
In this letter we propose a scotogenic extension of the simplest (3,1) seesaw mechanism that provides a very clear interpretation of the two observed oscillation scales and the associated messengers
To first approximation we generate only the atmospheric scale, from the tree level exchange of the single isosinglet neutrino messenger present in the minimal (3,1) type-I seesaw mechanism [7]. At this stage two neutrinos are left massless, so there are no solar neutrino oscillations. We show that this mass degeneracy is lifted by calculable radiative corrections of the scotogenic type
Summary
The only neutrino mass parameters which have been experimentally measured are the two mass square splittings associated with the “atmospheric” and “solar” neutrino oscillations [1,2]. To first approximation we generate only the atmospheric scale, from the tree level exchange of the single isosinglet neutrino messenger present in the minimal (3,1) type-I seesaw mechanism [7]. At this stage two neutrinos are left massless, so there are no solar neutrino oscillations. We show that this mass degeneracy is lifted by calculable radiative corrections of the scotogenic type These involve the one-loop exchange of dark messengers, responsible for generating the solar scale, naturally accounting for the observed smallness of solar-to-atmospheric ratio in Eq (1). Multiplicity mass scale provides the observed cosmological dark matter in the form of a thermal weakly interacting massive particle (WIMP)
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