Radiative corrections in the standard model of the electroweak interaction

The condition for the calculation of radiative corrections is to renormalize the based theory. Because of the complex structure and the multiplicity of parameters and fields it is not uniquely determined how the renormalization of the standard model of the electroweak interactions is to be performed in a consistent way. The present thesis yields some contribution to this question. A renormalization scheme for the Glashow-Salam-Weinberg model was discussed in which the masses of the gauge bosons, the Higgs mass, the fermion masses, and the fine structure constant are the fundamental parameters. The Slavnov-Taylor identities following from the gauge invariance were extensively discussed and their consequences for the renormalization procedure studied. As concrete application the radiative corrections to the μ-decay and to the νμe- respectively anti νμe-scattering were studied in the 1-loop approximation. In order to compare the statements of the standard model with the experimental results we have on the one hand by means of the masses MW and MZ calculated the μ decay width and the ratio of the cross sections σ(νμe→νμe)/σ(anti νμe→anti νμe) and compared with the data. On the other hand we have from the comparison of these quantities with the experimentally determined values calculated the gauge boson masses. (orig./HSI)