Initial Study of the Reconstruction of Boosted B-hadrons and $\tau$-leptons at FCC-hh

The FCC-hh project aims at studying proton-proton collisions at $\sqrt{s}=100$ TeV. In beyond the Standard Model scenarios, such high collision energy can produce unprecedented high-energy objects in the multi-TeV range. At high energies, particles like $\tau$-leptons and B-hadrons are extremely boosted, since their masses are relatively small. Reconstructing the decay products of these boosted and long-lived particles is very challenging since the decay vertex can be very displaced and the decay products extremely collimated. This note addresses the challenge of reconstructing the tracks from all the charged daughter particles. For this purpose, events containing 3-prong $\tau$-lepton decays and di-jet $\mathrm{b}\bar{\mathrm{b}}$ events are simulated. The distance between simulated hits produced by the decay daughters in a particular layer is used to provide a qualitative estimate of the tracking efficiency for boosted objects. The study is performed for various energies and detector granularities.