Estimation of $\hat{\alpha}(M_Z)$ and $\sin^2\hat{\theta}_W(0)$.
Rodolfo Ferro (JGU-Mainz)

The estimation of $\alpha$ at the electroweak scale is an important parameter required for electroweak precision tests. It is computed through a combination of $\e^+e^-\rightarrow\mathrm{hadrons}$ data plus perturbative QCD contributions. The combination of data and pQCD can be optimized to reduce the error on the prediction of $\alpha(M_Z)$. Here, I will study how different groups choose the theory/data splitting and compare the type of errors associated with each framework. Later, I will discuss the relation of the running of $\alpha$ with the one of the weak mixing angle. Finally light new physics which might affect the measurement of the weak mixing angle at low energies will be discussed.