This paper presents measurements of production in collisions
at a center-of-mass energy of 8 TeV. The gauge bosons are reconstructed using
their leptonic decay modes into electrons and muons. The data were collected in
2012 by the ATLAS experiment at the Large Hadron Collider, and correspond to an
integrated luminosity of 20.3 fb. The measured inclusive cross section
in the detector fiducial region is $\sigma_{W^\pm Z \rightarrow \ell^{'} \nu
\ell \ell} = 35.1 \pm\pm 0.8\pm 0.8$ (lumi.) fb, for
one leptonic decay channel. In comparison, the next-to-leading-order Standard
Model expectation is 30.0 2.1 fb. Cross sections for and
production and their ratio are presented as well as differential cross sections
for several kinematic observables. Limits on anomalous triple gauge boson
couplings are derived from the transverse mass spectrum of the
system. From the analysis of events with a and a boson associated with
two or more forward jets an upper limit at 95% confidence level on the $W^\pm
Z$ scattering cross section of 0.63 fb, for each leptonic decay channel, is
established, while the Standard Model prediction at next-to-leading order is
0.13 fb. Limits on anomalous quartic gauge boson couplings are also extracted.

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