Strange Quark Electric Dipole Moment withTopological Anomalies

Abstract

We introduce an anomaly-based framework to probe quark electric dipole moments in exclusive hadronic final states produced in $e^{+}{e}^{-}$ annihilation. Chern-Simons-induced anomalous couplings yield a clean T-odd asymmetry $A_T$ from interference between the Standard-Model amplitude and dipole-moment contributions. As an application, ${\gamma }^{\ast }\to K^{+}{K}^{-}{\pi }^0$ provides direct sensitivity to the strange-quark EDM $d_s$ in the chiral limit. The precision on $d_s$ can reach $\mathcal{O}(10^{-16})e\cdot \mathrm{cm}$ with existing CMD--3 data and $\mathcal{O}(10^{-18})e\cdot \mathrm{cm}$ using current $J/\psi$ samples at BESIII, improving the current direct constraint from hyperon EDM by two to three orders.

Comments: 4 pages, 3 figures; accepted by PRD