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We present a measurement of the $W$ boson production charge asymmetry in$p\bar{p}\rightarrow W+X \rightarrow e\nu +X$ events at a center of mass energyof 1.96 TeV, using 9.7 fb$^{-1}$ of integrated luminosity collected with the D0detector at the Fermilab Tevatron Collider. The neutrino longitudinal momentumis determined using a neutrino weighting method, and the asymmetry is measuredas a function of the $W$ boson rapidity. The measurement extends over widerelectron pseudorapidity region than previous results, and is the most preciseto date, allowing for precise determination of proton parton distributionfunctions in global fits.

physical review letters

Measurement of the $\boldsymbol{W}$ Boson Production Charge Asymmetry in  $\boldsymbol{p\bar{p}\rightarrow W+X \rightarrow e\nu +X}$ Events at  $\boldsymbol{\sqrt{s}=1.96}$ TeV