Constraints on new physics from decays of polarized ${\mathrm{\Lambda }}_b^0$ baryons at the FCC-ee

The $Z^0$ bosons produced in electron-positron collisions at the potential Future Circular Collider (FCC-ee) provide unique opportunities for flavour physics. The non-zero polarization of \Lb baryons produced in $Z^0$ decays enables access to a much larger set of observables than at the LHC, where the ${\mathrm{\Lambda }}_b^0$ baryons are produced unpolarized. This paper presents a toy angular analysis of ${\mathrm{\Lambda }}_b^0\to \mathrm{\Lambda }(\to p{\pi }^{-}){\mu }^{+}{\mu }^{-}$ decays using simulation samples of collisions at the FCC-ee reconstructed using the IDEA detector concept and assuming a dataset of $6\times {10}^{12}$ $Z^0$ bosons. While the statistical sensitivity achieved for individual angular observables is not expected to significantly exceed that from the LHCb Upgrade II experiment, the addition of the polarized observables leads to a significant improvement of the knowledge on the Wilson coefficients $C_{9^{(\mathrm{\prime })}}$ and $C_{{10}^{(\mathrm{\prime })}}$.