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Abstract:
The standard model Higgs mass term receives quadratically divergent radiative
corrections, thereby destabilizing the electroweak scale. In classically conformally
invariant models, a hierarchy between the electroweak and the Planck
scale is naturally introduced and stabilized since the electroweak scale itself
is induced by radiative corrections. The recent observation of non-vanishing
neutrino masses furthermore requires an extension of the standard model. Leftright
symmetric models offer a natural framework for neutrino masses and are
therefore theoretically appealing.
In this thesis, the radiative breaking of the minimal conformally invariant leftright
symmetric model is discussed. It is shown that the renormalization group
running naturally creates a large hierarchy between the Planck scale and the
the left-right breaking scale, thereby providing a natural solution to the hierarchy
problem of elementary particle physics. It is pointed out that, to obtain
a hierarchy between the electroweak and the left-right scale some rather mild
fine-tuning in the model parameters is needed. A possible scenario is discussed
that is consistent with low-energy phenomenology, and first steps are taken in
the direction of a phenomenological discussion of this model.
