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Measurement of the forward $W$ boson cross-section in $pp$ collisions at $\sqrt{s} = 7 {\rm \, TeV}$

Abstract

A measurement of the inclusive production cross-section using data from collisions at a centre-of-mass energy of is presented. The analysis is based on an integrated luminosity of about recorded with the LHCb detector. Results are reported for muons with a transverse momentum greater than and pseudorapidity between 2.0 and 4.5. The and production cross-sections are measured to be where the first uncertainty is statistical, the second is systematic and the third is due to the luminosity determination. Cross-section ratios and differential distributions as functions of the muon pseudorapidity are also presented. The ratio of to cross-sections in the same fiducial kinematic region is determined to be where the uncertainties are statistical and systematic, respectively. Results are in good agreement with theoretical predictions at next-to-next-to-leading order in perturbative quantum chromodynamics.