Precision calculations are required for the verification of the standard model (SM) and serve as a useful tool for probing and disentangling new physics beyond the SM. In this thesis we concentrate on the extension of the SM with supersymmetry, i.e. the minimal supersymmetric extension of the standard model (MSSM) and investigate the decay processes of Higgs bosons within this model. At tree-level, the light CP-even MSSM Higgs boson, h^0, becomes SM-like when the other ones get heavy. Thus it is of particular interest to investigate the impact of higher order corrections. We present the complete one-loop electroweak radiative corrections to the decay of h^0 to four fermions via gauge boson pair, the results are further improved by currently available two-loop corrections to the Higgs boson self energies. The gauge boson in the photonic one-loop diagrams can become resonant and lead to singularities that have to be regularized by its finite width. For the incorporation of the width, the one-loop integrals that involve such singularities are evaluated analytically. While the one-loop electroweak corrections yield visible effects for a relatively light MSSM Higgs sector, they only give rise to negligible effects when the Higgs bosons other than h^0 become heavy, even if the genuine supersymmetric particle spectrum is relatively light. Consequently it is rather difficult to distinguish the light CP-even MSSM Higgs boson from the SM one if all other MSSM Higgs bosons are heavy, even though the one-loop corrections are included. We also consider the decay of the heavy CP-even MSSM Higgs boson, H^0, to off-/on-shell gauge boson pair. The one-loop corrections turn out to be significant as the tree-level coupling of H^0 to gauge bosons is usually suppressed.
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Precision calculations are required for the verification of the standard model (SM) and serve as a useful tool for probing and disentangling new physics beyond the SM. In this thesis we concentrate on the extension of the SM with supersymmetry, i.e. the minimal supersymmetric extension of the standard model (MSSM) and investigate the decay processes of Higgs bosons within this model. At tree-level, the light CP-even MSSM Higgs boson, h^0, becomes SM-like when the other ones get heavy. Thus it is...
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