The production cross sections of the inclusive Drell-Yan process $W^\pm \rightarrow \ell\nu$ ($\ell = e, µ$) are measured in proton-proton collisions at $\sqrt{s} = 7$ TeV with the ATLAS detector. The cross sections are evaluated differentially as a function of the $W$ boson rapidity based on an integrated luminosity of about 35 $\text{pb}^{−1}$ collected in 2010. The cross sections are measured separately for $W^+$ and $W^-$ production, and then used to construct the $W$ charge asymmetry as well.
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