Measurement of the polarization of tau--leptons produced in Z decays at CMS and determination of the effective weak mixing angle

In this thesis the first measurement of the τ-lepton polarization in Z → ττ decays is performed at a proton-proton collider. A sample of 8818 events of the decay Z0 → τ + τ − → µνν,a1 ν is used. It is selected in data corresponding to a luminosity of 19.6 fb−1 collected by theCMS detector at 8 TeV. The average polarization is measured to be: