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

Abstract

A measurement of the production cross-section for $Z$ bosons that decay to muons is presented. The data were recorded by the LHCb detector during $pp$ collisions at a centre-of-mass energy of 7 TeV, and correspond to an integrated luminosity of 1.0 fb${}^{-1}$. The cross-section is measured for muons in the pseudorapidity range $2.0<\eta <4.5$ with transverse momenta $p_T>20$ GeV/c. The dimuon mass is restricted to $60<M_{{\mu }^{+}{\mu }^{-}}<120$ GeV/c${}^2$. The measured cross-section is $${\sigma }_{Z\to {\mu }^{+}{\mu }^{-}}=(76.0\pm 0.3\pm 0.5\pm 1.0\pm 1.3)\text{pb}$$ where the uncertainties are due to the sample size, systematic effects, the beam energy and the luminosity. This result is in good agreement with theoretical predictions at next-to-next-to-leading order in perturbative quantum chromodynamics. The cross-section is also measured differentially as a function of kinematic variables of the $Z$ boson. Ratios of the production cross-sections of electroweak bosons are presented using updated LHCb measurements of $W$ boson production. A precise test of the Standard Model is provided by the measurement of the ratio $$\frac{{\sigma }_{W^{+}\to {\mu }^{+}{\nu }_{\mu }}+{\sigma }_{W^{-}\to {\mu }^{-}{\bar{\nu }}_{\mu }}}{{\sigma }_{Z\to {\mu }^{+}{\mu }^{-}}}=20.63\pm 0.09\pm 0.12\pm 0.05,$$ where the uncertainty due to luminosity cancels.

New version in line with version accepted by JHEP. Small changes to the layout of figures. Results unchanged

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