The precision data on Z boson decays from LEP-I and SLC colliders are compared with the predictions based on the Minimal Standard Theory. The Born approximation of the theory is based on three most accurately known observables: G µ -the four fermion coupling constant of muon decay, m Z -the mass of the Z boson, and α(m Z ) -the value of the "running fine structure constant" at the scale of m Z . The electroweak loop corrections are expressed, in addition, in terms of the masses of higgs, m H , of the top and bottom quarks, m t and m b , and of the strong interaction constant α s (m Z ). The main emphasis of the review is focused on the one-electroweak-loop approximation. Two electroweak loops have been calculated in the literature only partly. Possible manifestations of new physics are briefly discussed.
Contents.1. Introduction.
Basic parameters of the theory.3. Amplitudes, widths, and asymmetries.4. One-loop corrections to hadronless observables.4.1 Four types of Feynman diagrams. 4.2 The asymptotic limit at m 2 t ≫ m 2 Z . 4.3 The functions V m (t, h), V A (t, h) and V R (t, h). 4.4 Corrections δV i (t). 4.5 Accidental (?) compensation and the mass of the t-quark. 4.6 How to calculate V i ? 'Five steps'.