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Measurements of inclusive W and Z boson production cross-sections in p p collisions at root s = 7TeV using final states containing muons are presented. The data sample corresponds to an integrated luminosity of 37 pb(-1) collected with the LHCb detector. The W and Z bosons are reconstructed from muons with a transverse momentum above 20 GeV/c and pseudorapidity between 2.0 and 4.5, and, in the case of the Z cross-section, a dimuon invariant mass between 60 and 120 GeV/c(2). The cross-sections are measured to be 831 +/- 9 +/- 27 +/- 29 pb for W+, 656 +/- 8 +/- 19 +/- 23 for W- and 76.7 +/- 1.7 +/- 3.3 +/- 2.7 pb for Z, where the first uncertainty is statistical, the second is systematic and the third is due to the luminosity. Differential cross-sections, W and Z cross-section ratios and the lepton charge asymmetry are also measured in the same kinematic region. The ratios are determined to be sigma W+->mu(+)nu/sigma W-->mu-(nu) over bar = 1.27 +/- 0.02 +/- 0.01 and (sigma W+->mu+nu+sigma W-->mu-(nu) over bar)/sigma Z ->mu mu = 19.4 +/- 0.5 +/- 0.9. The results are in general agreement with theoretical predictions, performed at next-to-next-to-leading order in QCD using recently calculated parton distribution functions.
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