Recent studies at the LHC have led to the observation of the Higgs boson decay to tau leptons, with a rate compatible with the Standard Modelexpectation. The observation opens the way to a more in-depth investigation of the properties of the production and decay of a Higgs boson intotau leptons, including whether or not the Higgs boson couplings involvedin this process violate CP conservation. The analysis presented in theseproceedings focuses on events collected by the ATLAS experiment whereHiggs bosons are produced via vector-boson fusion in order to investigatethe tensor structure of their coupling to electroweak gauge bosons. Forthis, a profile likelihood fit using a matrix-element observable is employedin the decay to tau leptons to test whether a CP-odd component is presentin the coupling. A measurement of a non-zero value would be an indicationof CP violation in the Higgs sector. No evidence of CP violation was found.
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