The current understanding of particle physics is condensed into a single model

known as the Standard Model, which has had remarkable success at describing the observed

interactions of fundamental particles. Since the discovery of the 125 GeV Higgs boson at the

Large Hadron Collider in 2012, the Standard Model appears to be complete. However, the

astrophysical observations of dark matter and the existence of neutrino mass are strongly

compelling reasons to think there is physics beyond the Standard Model. In 2006, a proposal

was made that these two phenomena are actually connected, and that the existence of

neutrino mass is tied to neutrino interactions with dark matter and other components of the

dark sector. This original proposal — known as the scotogenic model — has been extended

to include self-interacting dark matter, the generation of lepton and quark mass, various

flavor symmetries, and has also been studied with alternative particle content. In this thesis,

several scotogenic models of neutrino oscillation with various symmetries are studied, and

the predictions for future neutrino oscillation experiments along with potentially interesting

signatures at the 13 TeV LHC run are discussed.