  In this master's thesis, the minimal dark matter models with radiative
neutrino masses introduced in arXiv:1308.3655 are examined both in general and,
using the model T1-3-B ($\alpha = 0$) as a representative, in more detail. In
the process, it is both shown how such models are built and a numerical
analysis tool chain is established, automating as many steps as possible from
the very beginning (deriving the Lagrangian from a given field content) to the
very end (calculating observables such as the dark matter relic density, the
direct detection cross section and the neutrino masses and mixing matrices).
  As an important result in laying out the mathematical groundwork, a
convention for representations of SU(2) is established which, in this form, is
not found in previous works. Another major result is the development of the
program minimal-lagrangians, whose capabilities are described in the thesis. It
is of great use both for the construction of Lagrangians for new models as well
their verification or quick surveys. minimal-lagrangians can be applied to any
model within the class it is designed to handle, extending its utility far
beyond a one-time result that is only obtained for a single model.
  Finally, the first steps in the analysis of the model T1-3-B ($\alpha = 0$)
are taken. It is shown that the model can reproduce both the singlet-doublet
fermion dark matter model and the inert triplet model in the appropriate
limits. Moreover, the neutrino mass matrix is found and it is demonstrated that
the model can accommodate current constraints on the neutrino masses. Lastly,
the behavior of the dark matter relic density as it depends on the parameter
responsible for the generation of neutrino masses is investigated.
  Further in-depth study of the model T1-3-B ($\alpha = 0$) was performed in a
separate publication (arXiv:1812.11133).
