Reconstruction of heavy flavour jets for Higgs physics at future $e^{+}e^{-}$ colliders

The reconstruction of heavy flavour jets plays an important role in precision measurements of the Higgs boson. $H\rightarrow b\bar{b}$ is the most frequently occurring decay mode of the Higgs boson. Furthermore, measuring the $H\rightarrow c\bar{c}$ decay mode will be possible for the first time at an $e^{+}e^{-}$ collider. The International Large Detector proposed for the International Linear Collider is designed for particle flow reconstruction and optimised to achieve a jet energy resolution of 3-4% for light-flavour jets. Due to harder fragmentation functions and presence of semi-leptonic decays, heavy-flavour jets are expected to behave differently. In this study, $b$- and $c$-jets are for the first time included in the evaluation of the jet reconstruction performance. Different strategies for correcting the $b$- and $c$-jet energy based on the identification of leptons in the jets will be presented and their impact on the jet energy resolution will be evaluated