Constraining Absolute Higgs Couplings using Vector Boson Fusion H to WW with FCC-hh

The absolute normalisation scale of Higgs couplings is difficult to determine in hadron colliders. An experimentally and theoretically clean way to establish the coupling scale is to measure the ratio of resonant Vector Boson Fusion $H \rightarrow WW^{*}$ production to non-resonant $qq \rightarrow qqWW$ because both the theoretical and detector response systematics all cancel to first order in the ratio. To set the scale of the sensitivity, a simple selection and fit is presented with gives a 1.8\% (1.9\%) statistical uncertainty on the ratio for a 100 (84) TeV FCC-hh at 30\,ab$^{-1}$, which would give a corresponding uncertainty on the $\kappa$ scale of 0.5-1\% depending on systematic effects and potential impacts of more sophisticated analysis.