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We report on the first measurement of the angular distributions of finalstate electrons in $p\bar{p}\to \gamma^{*}/Z\to e^{+}e^{-}+X$ events producedin the $Z$ boson mass region at $\sqrt{s}=1.96$ TeV. The data sample collectedby the CDF II detector for this result corresponds to 2.1 fb$^{-1}$ ofintegrated luminosity. The angular distributions are studied as a function ofthe transverse momentum of the electron-positron pair and show good agreementwith the Lam-Tung relation, consistent with a spin-1 description of the gluon,and demonstrate that at high values of the transverse momentum, $Z$ bosons areproduced via quark anti-quark annihilation and quark-gluon Compton processes.

physical review letters

First Measurement of the Angular Coefficients of Drell-Yan $e^{+}e^{-}$  pairs in the Z Mass Region from $p\bar{p}$ Collisions at $\sqrt{s}$ = 1.96  TeV