This thesis presented fiducial and differential cross section measurements of the Higgs boson at \(\sqrt{s}=8\) TeV with the ATLAS detector, and fiducial and total cross section measurements of WZ diboson production at \(\sqrt{s}=13\) TeV. The electron likelihood method of identification, first introduced in Run 1 and adapted for use in Run 2, is described in detail. Electron efficiency measurements of identification criteria are described as well, featuring methods developed in Run 1 and employed during Run 2 data taking.

The Higgs fiducial cross section and decay to four leptons (e or \(\mu \)) at 8 TeV was measured to be \(\sigma _\text {fid}=2.11\) \(^{+0.53}_{-0.47}\) (stat) \(\pm 0.08\) (syst) fb, and can be compared to the theoretical prediction [1] of a Higgs with mass 125.4 GeV of \(1.30\pm 0.13\) fb. Unfolded differential distributions of kinematic observables show no statistically significant deviation from the SM predictions according to a number of state-of-the-art generators.

The \(WZ\) fiducial cross section and decay to a leptonic channel in 13 TeV \(p\)\(p\) collisions is measured to be \(\sigma _\text {fid}=63.2\pm 3.2\) (stat) \(\pm 2.6\) (syst) \(\pm 1.5\) (lumi) fb. When extrapolated to the total phase space, the total cross section is \(\sigma _\text {tot}=50.6\pm 2.6\) (stat) \(\pm 2.0\) (syst) \(\pm 0.9\) (syst) \(\pm 1.2\) (lumi) pb, in good agreement with the recent NNLO calculation [2] predicting \(48.2^{+1.1}_{-1.0}\) pb.