Abstract
A test of CP invariance in Higgs boson production via vector-boson fusion using the method of the Optimal Observable is presented. The analysis exploits the decay mode of the Higgs boson into a pair of \(\tau \) leptons and is based on 20.3 \(\mathrm{fb}^{-1}\) of proton–proton collision data at \(\sqrt{s}\) = 8 \(\,\mathrm{TeV}\) collected by the ATLAS experiment at the LHC. Contributions from CP-violating interactions between the Higgs boson and electroweak gauge bosons are described in an effective field theory framework, in which the strength of CP violation is governed by a single parameter \(\tilde{d}\). The mean values and distributions of CP-odd observables agree with the expectation in the Standard Model and show no sign of CP violation. The CP-mixing parameter \(\tilde{d}\) is constrained to the interval \((-0.11,0.05)\) at 68% confidence level, consistent with the Standard Model expectation of \(\tilde{d}=0\).