Probing Quark Electric Dipole Moment with Topological Anomalies

CP-odd observables originating from the strange-quark electric dipole moment ($d_s$) are identified in ${\gamma }^{\ast }\to K^{+}{K}^{-}{\pi }^0$ and evaluated in the chiral limit. A nonzero T-odd asymmetry $A_T$ requires anomalous couplings descending from a five-dimensional Chern-Simons construction. Modeling the running of $F_A$ and $F_V$ with vector-meson dominance, we estimate sensitivities to $d_s$ at the level of $\mathcal{O}({10}^{-16})e\cdot \mathrm{c}\mathrm{m}$ in $e^{+}{e}^{-}$ data at CMD-3 and $\mathcal{O}({10}^{-18})e\cdot \mathrm{c}\mathrm{m}$ using existing $J\mathrm{/}\psi$ samples at BESIII. Future experiments at the Super Tau-Charm Facility and Belle~II can further improve the reach by an order of magnitude.