Inclusive $W$ and $Z$ production in the forward region at $\sqrt{s}=7$ TeV

Abstract

Measurements of inclusive $W$ and $Z$ boson production cross-sections in $pp$ collisions at $\sqrt{s}=7$ TeV 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 {$831\pm 9\pm 27\pm 29$ pb} for $W^{+}$, {$656\pm 8\pm 19\pm 23$ pb} for $W^{-}$ and {$76.7\pm 1.7\pm 3.3\pm 2.7$ 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 ${\sigma }_{W^{+}\to {\mu }^{+}\nu }/{\sigma }_{W^{-}\to {\mu }^{-}\bar{\nu }}=${$1.27\pm 0.02\pm 0.01$}, and ${\sigma }_{W^{+}\to {\mu }^{+}\nu }+{\sigma }_{W^{-}\to {\mu }^{-}\bar{\nu }})/{\sigma }_{Z\to \mu \mu }=${$19.4\pm 0.5\pm 0.9$}. 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.

27 pages, 11 figures, 6 tables

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