Sensitivity study of the Hb$\bar{b}$ and Hc$\bar{c}$ couplings for e$^+$- e$^-$ collisions at FCC

The Future Circular Collider (FCC) is one of the possible future projects proposed at CERN. With a circumference of 80 - 100km it should initially serve as an e$^+$- e$^-$ collider reaching energies between 90 - 350 GeV. While operating at centre of mass energies of 240 GeV and luminosities of 5*10$^{34}$ cm$^{-2}$s$^{-1}$ FCC should be used as a Higgs factory with the aim of validating standard model predictions. Therefore, it should be able to measure the Higgs couplings with precisions around 1%. In order to estimate the sensitivity of the branching ratio for $H\rightarrow c\bar{c}$ (BR(Hcc)) a simultaneous simulation and analysis of Hb$\bar{b}$ and Hc$\bar{c}$ is necessary. Therefore, events were generated for both cases and afterwards the CMS detector with an added c-tagging method was used to simulate the detector response. Relevant events were selected and afterwards used for optimising a simultaneous fit determining BR(Hbb) and BR(Hcc) and its uncertainties. The same procedure was applied while changing the efficiencies in the c-tagging algorithm in order to determine the influence of these efficiencies on the sensitivity. The initial conditions lead to a sensitivity of around 17%. Increasing the c-tagging by 10% results in a precision improvement of 1-1.5% enhancing the precision up to around 13%. However, no change in the precision was observed while decreasing the misidentification efficiencies in the c-tagging method.