Higgs measurements at the FCC-hh

The future circular hadron-hadron collider FCC-hh is expected to produce collisions at the unrivaled center of mass energy of $\sqrt{s}$= 100 TeV and to deliver an integrated luminosity of $\mathscr{L} =30\ \mathrm{ab}^{-1}$. The FCC-hh offers the unique opportunity to measure the Higgs self-coupling with a 5% precision. Billions of Higgs bosons will be produced at the FCC-hh, opening a wide range of possibilities in the realm of possible precision Higgs measurements. The Top Yukawa and the Higgs self-coupling can be measured respectively to percent level precision. Final states involving Higgs bosons can be studied in highly boosted kinematical regimes where the impact of systematic uncertainties can be reduced, allowing for percent level precision in most decay chanels including rare decays such as H$\rightarrow \mu^+\mu^-$ and H$\rightarrow Z \gamma$. In addition, the unitarisation of the amplitude the longitudinally polarized vector bosons can be directly tested at the FCC-hh