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We present a measurement of the forward-backward charge asymmetry ($A_{FB}$)in $p\bar{p} \to Z/\gamma^{*}+X \to e^+e^-+X$ events at a center-of-mass energyof 1.96 TeV using 1.1 fb$^{-1}$ of data collected with the D0 detector at theFermilab Tevatron collider. $A_{FB}$ is measured as a function of the invariantmass of the electron-positron pair, and found to be consistent with thestandard model prediction. We use the $A_{FB}$ measurement to extract theeffective weak mixing angle $sin^2Theta^{eff}_W = 0.2327 \pm 0.0018 (stat.) \pm0.0006 (syst.)$.

physical review letters

Measurement of the forward-backward charge asymmetry and extraction of  sin^2Theta^{eff}_W in ppbar -> Z/\gamma^{*}+X -> e+e+X events produced at  \sqrt{s}=1.96 TeV