Precision Measurements of Electroweak Parameters with Z Bosons at the Tevatron

We report on the extraction of $\sin^2θ^{\rm lept}_{\rm eff}(M_Z)$ and an indirect measurement of the mass of the W boson from the forward-backward asymmetry of dilepton events in the $Z$ boson mass region at the Tevatron. The data samples of $e^+e^-$ and $μ^+μ^-$ events collected by the CDF detector correspond to the full 9.4 fb$^{-1}$ run II sample and yield an effective electroweak mixing angle $\sin^2θ^{\rm lept}_{\rm eff}(M_Z) = 0.23222 \pm 0.00046$. The corresponding result reported by the D0 collaboration with the full 9.4 fb$^{-1}$ $e^+e-$ sample is $\sin^2θ^{\rm lept}_{\rm eff}(M_Z) = 0.23146 \pm 0.00047$. The CDF collaboration also extracts the on-shell electroweak mixing angle $\sin^2 θ_W = 0.22401 \pm 0.00044$ which corresponds to an indirect measurement of the W boson mass $M_W ({\rm indirect}) = 80.327 \pm 0.023 \;{\rm GeV}$. The quoted uncertainties include both statistical and systematic contributions.

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