CP violation angles from H$\to\tau\tau$ decays at FCC-ee

Measuring charge-parity (CP) violation in Higgs-fermion interactions is a key target of future precision Higgs programs. The decay $H\to\tau\tau$ is particularly sensitive to the CP structure of the Higgs Yukawa coupling via $\tau$ spin correlation, while the clean environment of $e^+e^-$ collisions at the Future Circular Collider (FCC) enables accurate reconstruction of CP-sensitive observables. In this letter, we study the sensitivity of FCC-ee to the Higgs CP state using $H\to\tau\tau$ events produced in associated $ZH$ production at $\sqrt{s}=240$ GeV. In the anomalous-coupling parametrization, we project a precision of $\Delta\phi_{\tau\tau}=\pm 2.5^\circ$ at 68 % CL, with the dominant contribution arising from one-prong hadronic $\tau$ decays. We further interpret the analysis in the Effective Field Theory framework, deriving expected limits on the CP-odd operators, and compare them with electron and magnetic dipole moment measurements and the anomalous-coupling approach.