Unification of Gauge Couplings in Radiative Neutrino Mass Models

Understand

We investigate the possibility of gauge coupling unification in various radiative neutrino mass models, which generate neutrino masses at one- and/or two-loop level.

• Renormalization group running of gauge couplings is performed analytically and numerically at one- and two-loop order, respectively.
• We study three different classes of neutrino mass models: (I) minimal ultraviolet completions of the dimension-7 $\Delta L=2$ operators which generate neutrino masses at one- and/or two-loop level without and with dark matter candidates, (II) models with dark matter which lead to neutrino masses at one-loop level and (III) models with particles in the adjoint representation of $\mathrm{SU}(3)$.
• In class (I), gauge couplings unify in a few models and adding dark matter amplifies the chances for unification.