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Abstract:
Theories with extra dimensions, e.g. warped extra dimensions like Randall-
Sundrum (RS) models, are an interesting direction addressing unresolved questions
in the Standard Model. These include the hierarchy between the Planckand
electroweak scale, the flavor puzzle, the unification of forces and many more.
In fact, it is possible to solve the hierarchy problem by incorporating the Higgs
field in the extra component of a five-dimensional gauge field. This is known as
Gauge-Higgs Unification and can even be combined with Grand Unified Theories
to form a Gauge-Higgs Grand Unified Theory (GHGUT). Recently [1] proposed
a viable model for GHGUT, which will also be investigated in this thesis, but
many results apply to general RS theories. To study the quantitative unification
of the SM gauge couplings in these models, the first part of this thesis focuses on
the renormalization of GHGUTs and general RS-models. Different regularization
techniques proposed in the literature are introduced, their respective shortcomings
and subtleties discussed and then applied to SU(6) GHGUTs. In the second
part, aspects of flavor phenomenology and precision physics in the above model
are investigated, pointing out interesting differences compared to conventional RS
models. These include the generation of hierarchies of the SM fermion masses, the
size of flavor changing neutral currents and constraints from electroweak precision
parameters.
