Title: Investigation of beam self-polarization in the future $e^{+}e^{-}$ circular collider,
Abstract: The use of resonant depolarization has been suggested for precise beam energy
measurements (better than 100 keV) in the $e^{+}e^{-}$ Future Circular Collider
(FCC-$e^{+}e^{-}$) for Z and WW physics at 45 and 80 GeV beam energy
respectively. Longitudinal beam polarization would benefit the Z peak physics
program; however it is not essential and therefore it will be not investigated
here. In this paper the possibility of self-polarized leptons is considered.
Preliminary results of simulations in presence of quadrupole misalignments and
beam position monitors (BPMs) errors for a simplified FCC-$e^{+}e^{-}$ ring are
presented.