Speaker
Description
We present the measurements of forward-backward charge asymmetry $A_{FB} $ in
$p\bar{p}\rightarrow Z/\gamma^{*} \rightarrow e^+ e^-/\mu^+\mu^- + X$ events
using $\sim 10\ $fb$^{-1}$ of $ p\bar p$ data collected at $\sqrt s=1.96\ $TeV by the D0
and CDF detectors at the Fermilab Tevatron collider. $A_{FB}$ is measured as a function
of the invariant mass of the dilepton system to extract the effective weak mixing angle $\sin^2\theta^{lep}_{eff}$.
In the context of the standard model, using the on-shell renormalization scheme where
$\sin^2\theta_W = 1 - M_W^2/M_Z^2$, measurements of $\sin^2\theta^{lep}_{eff}$
yield indirect extractions of the W mass. We discuss the recent measurement of $\sin^2\theta^{lep}_{eff}$
using di-muon events at D0 and its combination with the di-electron channel [ PRL 115, 041801 (2015)].
We also present the CDF-legacy measurement of $\sin^2\theta^{lep}_{eff}$ using electron pairs
and its combination with the previous CDF-legacy measurement using muon pairs [PRD 89, 072005 (2014)].
We also present the combination of the D0 and CDF results.
