A study of the T' Model and its variants utilizing Binary Tetrahedral Flavor
Symmetry. We begin with a description of the historical context and motivations
for this theory, together with some conceptual background for added clarity,
and an account of our theory's inception in previous works. Our model endeavors
to bridge two categories of particles, leptons and quarks, a unification made
possible by the inclusion of additional Higgs particles, shared between the two
fermion sectors and creating a single coherent system. This is achieved through
the use of the Binary Tetrahedral symmetry group and an investigation of the
Tribimaximal symmetry evidenced by neutrinos. Our work details perturbations
and extensions of this T' Model as we apply our framework to neutrino mixing,
quark mixing, unification, and dark matter. Where possible, we evaluate model
predictions against experimental results and find excellent matching with the
atmospheric and reactor neutrino mixing angles, an accurate prediction of the
Cabibbo angle, and a dark matter candidate that remains outside the limits of
current tests. Additionally, we include mention of a number of unanswered
questions and remaining areas of interest for future study. Taken together, we
believe these results speak to the promising potential of finite groups and
flavor symmetries to act as an approximation of nature.Comment: PhD thesis, University of North Carolina at Chapel Hill, April 201