Abstract
In this thesis we present the status of the measurement of angular distributions of final state electrons in $p \bar{p} \to \gamma^* Z \to e^+ e^- + X$ events produced in the Z boson mass region at $\sqrt{s}$ = 1.96 TeV at the Tevatron. For this analysis, we are using the full Run II dataset corresponding to 9.7$\,fb^{-1}$ of integrated luminosity collected with the D0 detector. The angular distributions as a function of the transverse momentum of the electron-positron pair are studied, and the Lam-Tung relation, valid only for a spin-1 description of the gluon is investigated. The final result will also describe the details of the production mechanism of Z bosons via quark anti-quark annihilation or quark-gluon Compton scattering.
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