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Abstract:
In this thesis, the type I and type II see-saw models are considered separately as the mechanism
to generate small neutrino masses and the radiative corrections to the Higgs mass induced
by these models are studied. Especially, the influence of imposing naturalness is tested.
As the naturalness criterion, it is assumed that quantum corrections should not be larger
than the Higgs mass. Imposing this condition, limits on the new mass scale introduced in
each model can be set, so that no hierarchy problem arises. For the type I, it is found
that the mass of the right-handed neutrino could take values up to O(107 GeV) without
generating large corrections. For the type II, the parameter space of the extended scalar
potential is first restricted by imposing vacuum stability, unitarity of scattering processes and
experimental constraints, before testing the influence of imposing naturalness. Only small
values of the triplet vacuum expectation value, O(eV), which give rise to sizeable Yukawa
couplings, are considered. In this scenario, there exist a large parameter space satisfying the
vacuum stability, unitarity and experimental constraints. Of this parameter space, all sets
of parameters satisfy the naturalness condition for triplet masses below 1 TeV and a large
subset satisfies naturalness for masses between 1 TeV and 3 TeV. If the triplet mass were
located in this energy range, as preferred by naturalness, new particles corresponding to the
triplet might be detectable at the Large Hadron Collider or future colliders and also lead to
significant signals in lepton flavour violation experiments.
