Figure 1

(a) The $x$ values of the quark for $W$ production at the Tevatron. (b) The $W$ boson and lepton rapidity distributions in $p\overline{p}$ collisions. (c) The charge asymmetry for $W$ production and the decay lepton.Reuse & Permissions

Figure 2

(a) The positively charged $W$ boson and lepton rapidity distribution. (b) The negatively charged $W$ boson and lepton rapidity distribution.Reuse & Permissions

Figure 3

(a) The $\cos {\theta }^{*}$ distributions of $e^{+}$ in the $W^{+}$ rest frame, averaged over all produced $W^{+}$. The curve labeled “quark” shows the case when a quark from the proton and antiquark from the antiproton form the $W^{+}$. The curve labeled “antiquark” shows the opposite case, when an antiquark from the proton and a quark from the antiproton form the $W^{+}$. (b) The dependence of the ratio of “antiquark” ($\overline{q}$) and “quark” ($q$) contributions to the overall $W$ decay angle distribution, $Q(y_W,p_T^W)$, as a function of $W$ rapidity and $p_T$ of the $W$.Reuse & Permissions

Figure 4

(a) Comparison of the simulated $W$ boson rapidity with the generated $W$ rapidity. The simulated rapidity is reconstructed by using the weighting factor and the smearing effect is considered. (b) Acceptance distribution for $W\to e\nu$ events as a function of $y_W$. The solid (open) circles represent $W^{+}(W^{-})$ events.Reuse & Permissions

Figure 5

Comparison of statistical uncertainties expected from this analysis in $1.0{\mathrm{fb}}^{-1}$ with those from the uncertainties from CTEQ6M PDFs [10].Reuse & Permissions

Figure 6

Total systematic uncertainty estimate and statistical uncertainty of this method compared with the current uncertainty on the $W$ charge asymmetry from the CTEQ6 PDFs.Reuse & Permissions