Improved indirect limits on charm and bottom quark EDMs

We derive indirect limits on the charm and bottom quark electric dipole moments (EDMs) from paramagnetic AMO and neutron EDM experiments. The charm and bottom quark EDMs generate CP-odd photon-gluon operators and light quark EDMs at the c- and b-quark mass thresholds. These CP-odd operators induce the CP-odd semi-leptonic operator C_S and the neutron EDM below the QCD scale that are probed by the paramagnetic and neutron EDM experiments, respectively. The bound from C_S is |d_c| < 1.3 × 10⁻²⁰e cm for the charm quark and |d_b| < 7.6 × 10⁻¹⁹e cm for the bottom quark, with its uncertainty estimated as 10 %. The neutron EDM provides a stronger bound, |d_c| < 6 × 10⁻²²e cm and |d_b| < 2 × 10⁻²⁰e cm, though with a larger hadronic uncertainty.