Integrated and differential fiducial cross-section measurements for the vector boson fusion production of the Higgs boson in the $H \rightarrow WW^{\ast}\rightarrow e\nu\mu\nu$ decay channel at 13 $\text{TeV}$ with the ATLAS detector

The vector-boson production cross-section for the Higgs boson decay in the $H \rightarrow WW^{\ast} \rightarrow e\nu\mu\nu$ channel is measured as a function of kinematic observables sensitive to the Higgs boson production and decay properties as well as integrated in a fiducial phase space. The analysis is performed using the proton-proton collision data collected by the ATLAS detector in Run 2 of the LHC at $\sqrt{s}= 13$ $\text{TeV}$ center-of-mass energy corresponding to an integrated luminosity of 139 fb$^{-1}$. The different flavor final state is studied by selecting an electron and a muon originating from a pair of $W$ bosons and compatible with the Higgs boson decay. The data are corrected for the effects of detector inefficiency and resolution, and the measurements are compared with different state-of-the-art theoretical predictions. The differential cross-sections are used to constrain anomalous interactions described by dimension-six operators in an Effective Field Theory.